planck limpatto sulla cosmologia alessandro melchiorri

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PLANCK L’IMPATTO SULLA COSMOLOGIA ALESSANDRO MELCHIORRI

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Page 1: PLANCK LIMPATTO SULLA COSMOLOGIA ALESSANDRO MELCHIORRI

PLANCKLrsquoIMPATTO SULLA COSMOLOGIA

ALESSANDROMELCHIORRI

PLANCKROMA1

Paolo de Bernardis (Roma1)Erminia Calabrese (Roma1) (PhD)Silvia Masi (Roma1)Alessandro Melchiorri (Roma1) Luca Pagano (Roma1) (PhD)Francesco Piacentini

Francesco De Bernardis (PhD)Silvia Galli (PhD)Giulia Gubitosi (PhD)Matteo Martinelli (PhD)Stefania Pandolfi (PhD)Marcella Veneziani (ass ric)

Laureandi MagistraleMaria ArchidiaconoPaolo FermaniElena GiusarmaAndrea MaselliEloisa MenegoniMarco Ruzza

(Analisi Dati e Implicazioni Cosmologiche)

PLANCKROMA2

Grazia De TroiaMarina MigliaccioPaolo NatoliNicola VittorioGiancarlo de Gasperishellipe altro

hellipin collaborazione con

2121 )12(

2

1

PCT

T

T

T

Current status of CMB observations

Temperature Angular spectrum varies withtotbchns hellip

We can measure cosmological parameters with CMB

How to get a bound on a cosmological parameter

DATA

Fiducial cosmological model(Ωbh2 Ωmh2 h ns τ Σmν )

PARAMETERESTIMATES

Dunkley et al 2008

Blu Dati attualiRosso Planck

F De Bernardis E Calabrese P de Bernardis S Masi AM 2009

Next experiment for measuring neutrino mass KATRIN eVm 90

eVm 66

eVm 66

Current limits from laboratory

Like

lihoo

d

GG0

Constraints on Newtonrsquos constant

S Galli A Melchiorri G Smoot O Zahn arxiv09051808

51 0 GG

When the luminous source is the CMB the lensing effect essentially re-maps the temperature field according to

unlensed lensed

CMB Temperature Lensing

We phenomenologically uncoupled weak lensing from primary anisotropies by introducing a new parameter AL that scales the

lensing potential such as

bull AL=0 corresponds to a theory ignoring lensingbull AL=1 corresponds to the standard weak lensing scenario

Analysis Method

AL can also be seen like a fudge parameter controlling the amount of smoothing of the peaks In fact in this figure we can see that the curves with increasingly smoothed peak structures correspond to analysis with increasingly values of AL (0 1 3 6 9)

Planck

Letting the lensing parameter vary the obtained constraints are

Future constraints

HFI 143 GHz Channelbull fsky =1bull θ=7rsquo bull NoiseVar=3410-4 μK2

bull fiducial model with ACBAR+WMAP3 best fit parameters

E Calabrese A Slosar A Melchiorri G Smoot O Zahn PRD 2008

Calabrese Martinelli AM Pagano 2009

CMB POLARIZATION

Fluctuation and GW generator

Fluctuation amplifier

But GW dissipatorhellip

Hot Dense SmoothCool Rarefied

Clumpy

On this map we see 100000 horizons at z=1000hellip 32tta

ctdhor

2121 )12(

2

1

PCT

T

T

T

SCALAR

+

TENSOR

=

We measure thesum of the two spectraIf GW are present thislowers the amplitudeof the peakDegeneracy with other Parameters

kMpckS

T

A

Ar

10170

CMB Polarizationbull Polarization is described by Stokes-Q and -Ubull These are coordinate dependent bull The two dimensional field is described by a gradient of a scalar (E) or curl of a pseudo-scale (B)

Grad (or E) modes

Curl (or B) modes

Temperature map T ( ˆ n )

Polarization map P( ˆ n ) E B

(density fluctuations have no handness so no contributionto B-modes) B-Modes=Gravity Waves

Several inflationarymodels predicta sizable GW background(rgt001) if nlt1

Pagano Cooray MelchiorriAnd Kamionkowsky JCAP 08

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
  • Slide 8
  • Slide 9
  • Slide 10
  • Slide 11
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
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  • Slide 30
  • Slide 31
  • Slide 32
  • Slide 33
  • Slide 34
Page 2: PLANCK LIMPATTO SULLA COSMOLOGIA ALESSANDRO MELCHIORRI

PLANCKROMA1

Paolo de Bernardis (Roma1)Erminia Calabrese (Roma1) (PhD)Silvia Masi (Roma1)Alessandro Melchiorri (Roma1) Luca Pagano (Roma1) (PhD)Francesco Piacentini

Francesco De Bernardis (PhD)Silvia Galli (PhD)Giulia Gubitosi (PhD)Matteo Martinelli (PhD)Stefania Pandolfi (PhD)Marcella Veneziani (ass ric)

Laureandi MagistraleMaria ArchidiaconoPaolo FermaniElena GiusarmaAndrea MaselliEloisa MenegoniMarco Ruzza

(Analisi Dati e Implicazioni Cosmologiche)

PLANCKROMA2

Grazia De TroiaMarina MigliaccioPaolo NatoliNicola VittorioGiancarlo de Gasperishellipe altro

hellipin collaborazione con

2121 )12(

2

1

PCT

T

T

T

Current status of CMB observations

Temperature Angular spectrum varies withtotbchns hellip

We can measure cosmological parameters with CMB

How to get a bound on a cosmological parameter

DATA

Fiducial cosmological model(Ωbh2 Ωmh2 h ns τ Σmν )

PARAMETERESTIMATES

Dunkley et al 2008

Blu Dati attualiRosso Planck

F De Bernardis E Calabrese P de Bernardis S Masi AM 2009

Next experiment for measuring neutrino mass KATRIN eVm 90

eVm 66

eVm 66

Current limits from laboratory

Like

lihoo

d

GG0

Constraints on Newtonrsquos constant

S Galli A Melchiorri G Smoot O Zahn arxiv09051808

51 0 GG

When the luminous source is the CMB the lensing effect essentially re-maps the temperature field according to

unlensed lensed

CMB Temperature Lensing

We phenomenologically uncoupled weak lensing from primary anisotropies by introducing a new parameter AL that scales the

lensing potential such as

bull AL=0 corresponds to a theory ignoring lensingbull AL=1 corresponds to the standard weak lensing scenario

Analysis Method

AL can also be seen like a fudge parameter controlling the amount of smoothing of the peaks In fact in this figure we can see that the curves with increasingly smoothed peak structures correspond to analysis with increasingly values of AL (0 1 3 6 9)

Planck

Letting the lensing parameter vary the obtained constraints are

Future constraints

HFI 143 GHz Channelbull fsky =1bull θ=7rsquo bull NoiseVar=3410-4 μK2

bull fiducial model with ACBAR+WMAP3 best fit parameters

E Calabrese A Slosar A Melchiorri G Smoot O Zahn PRD 2008

Calabrese Martinelli AM Pagano 2009

CMB POLARIZATION

Fluctuation and GW generator

Fluctuation amplifier

But GW dissipatorhellip

Hot Dense SmoothCool Rarefied

Clumpy

On this map we see 100000 horizons at z=1000hellip 32tta

ctdhor

2121 )12(

2

1

PCT

T

T

T

SCALAR

+

TENSOR

=

We measure thesum of the two spectraIf GW are present thislowers the amplitudeof the peakDegeneracy with other Parameters

kMpckS

T

A

Ar

10170

CMB Polarizationbull Polarization is described by Stokes-Q and -Ubull These are coordinate dependent bull The two dimensional field is described by a gradient of a scalar (E) or curl of a pseudo-scale (B)

Grad (or E) modes

Curl (or B) modes

Temperature map T ( ˆ n )

Polarization map P( ˆ n ) E B

(density fluctuations have no handness so no contributionto B-modes) B-Modes=Gravity Waves

Several inflationarymodels predicta sizable GW background(rgt001) if nlt1

Pagano Cooray MelchiorriAnd Kamionkowsky JCAP 08

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
  • Slide 8
  • Slide 9
  • Slide 10
  • Slide 11
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Slide 16
  • Slide 17
  • Slide 18
  • Slide 19
  • Slide 20
  • Slide 21
  • Slide 22
  • Slide 23
  • Slide 24
  • Slide 25
  • Slide 26
  • Slide 27
  • Slide 28
  • Slide 29
  • Slide 30
  • Slide 31
  • Slide 32
  • Slide 33
  • Slide 34
Page 3: PLANCK LIMPATTO SULLA COSMOLOGIA ALESSANDRO MELCHIORRI

2121 )12(

2

1

PCT

T

T

T

Current status of CMB observations

Temperature Angular spectrum varies withtotbchns hellip

We can measure cosmological parameters with CMB

How to get a bound on a cosmological parameter

DATA

Fiducial cosmological model(Ωbh2 Ωmh2 h ns τ Σmν )

PARAMETERESTIMATES

Dunkley et al 2008

Blu Dati attualiRosso Planck

F De Bernardis E Calabrese P de Bernardis S Masi AM 2009

Next experiment for measuring neutrino mass KATRIN eVm 90

eVm 66

eVm 66

Current limits from laboratory

Like

lihoo

d

GG0

Constraints on Newtonrsquos constant

S Galli A Melchiorri G Smoot O Zahn arxiv09051808

51 0 GG

When the luminous source is the CMB the lensing effect essentially re-maps the temperature field according to

unlensed lensed

CMB Temperature Lensing

We phenomenologically uncoupled weak lensing from primary anisotropies by introducing a new parameter AL that scales the

lensing potential such as

bull AL=0 corresponds to a theory ignoring lensingbull AL=1 corresponds to the standard weak lensing scenario

Analysis Method

AL can also be seen like a fudge parameter controlling the amount of smoothing of the peaks In fact in this figure we can see that the curves with increasingly smoothed peak structures correspond to analysis with increasingly values of AL (0 1 3 6 9)

Planck

Letting the lensing parameter vary the obtained constraints are

Future constraints

HFI 143 GHz Channelbull fsky =1bull θ=7rsquo bull NoiseVar=3410-4 μK2

bull fiducial model with ACBAR+WMAP3 best fit parameters

E Calabrese A Slosar A Melchiorri G Smoot O Zahn PRD 2008

Calabrese Martinelli AM Pagano 2009

CMB POLARIZATION

Fluctuation and GW generator

Fluctuation amplifier

But GW dissipatorhellip

Hot Dense SmoothCool Rarefied

Clumpy

On this map we see 100000 horizons at z=1000hellip 32tta

ctdhor

2121 )12(

2

1

PCT

T

T

T

SCALAR

+

TENSOR

=

We measure thesum of the two spectraIf GW are present thislowers the amplitudeof the peakDegeneracy with other Parameters

kMpckS

T

A

Ar

10170

CMB Polarizationbull Polarization is described by Stokes-Q and -Ubull These are coordinate dependent bull The two dimensional field is described by a gradient of a scalar (E) or curl of a pseudo-scale (B)

Grad (or E) modes

Curl (or B) modes

Temperature map T ( ˆ n )

Polarization map P( ˆ n ) E B

(density fluctuations have no handness so no contributionto B-modes) B-Modes=Gravity Waves

Several inflationarymodels predicta sizable GW background(rgt001) if nlt1

Pagano Cooray MelchiorriAnd Kamionkowsky JCAP 08

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
  • Slide 8
  • Slide 9
  • Slide 10
  • Slide 11
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Slide 16
  • Slide 17
  • Slide 18
  • Slide 19
  • Slide 20
  • Slide 21
  • Slide 22
  • Slide 23
  • Slide 24
  • Slide 25
  • Slide 26
  • Slide 27
  • Slide 28
  • Slide 29
  • Slide 30
  • Slide 31
  • Slide 32
  • Slide 33
  • Slide 34
Page 4: PLANCK LIMPATTO SULLA COSMOLOGIA ALESSANDRO MELCHIORRI

Current status of CMB observations

Temperature Angular spectrum varies withtotbchns hellip

We can measure cosmological parameters with CMB

How to get a bound on a cosmological parameter

DATA

Fiducial cosmological model(Ωbh2 Ωmh2 h ns τ Σmν )

PARAMETERESTIMATES

Dunkley et al 2008

Blu Dati attualiRosso Planck

F De Bernardis E Calabrese P de Bernardis S Masi AM 2009

Next experiment for measuring neutrino mass KATRIN eVm 90

eVm 66

eVm 66

Current limits from laboratory

Like

lihoo

d

GG0

Constraints on Newtonrsquos constant

S Galli A Melchiorri G Smoot O Zahn arxiv09051808

51 0 GG

When the luminous source is the CMB the lensing effect essentially re-maps the temperature field according to

unlensed lensed

CMB Temperature Lensing

We phenomenologically uncoupled weak lensing from primary anisotropies by introducing a new parameter AL that scales the

lensing potential such as

bull AL=0 corresponds to a theory ignoring lensingbull AL=1 corresponds to the standard weak lensing scenario

Analysis Method

AL can also be seen like a fudge parameter controlling the amount of smoothing of the peaks In fact in this figure we can see that the curves with increasingly smoothed peak structures correspond to analysis with increasingly values of AL (0 1 3 6 9)

Planck

Letting the lensing parameter vary the obtained constraints are

Future constraints

HFI 143 GHz Channelbull fsky =1bull θ=7rsquo bull NoiseVar=3410-4 μK2

bull fiducial model with ACBAR+WMAP3 best fit parameters

E Calabrese A Slosar A Melchiorri G Smoot O Zahn PRD 2008

Calabrese Martinelli AM Pagano 2009

CMB POLARIZATION

Fluctuation and GW generator

Fluctuation amplifier

But GW dissipatorhellip

Hot Dense SmoothCool Rarefied

Clumpy

On this map we see 100000 horizons at z=1000hellip 32tta

ctdhor

2121 )12(

2

1

PCT

T

T

T

SCALAR

+

TENSOR

=

We measure thesum of the two spectraIf GW are present thislowers the amplitudeof the peakDegeneracy with other Parameters

kMpckS

T

A

Ar

10170

CMB Polarizationbull Polarization is described by Stokes-Q and -Ubull These are coordinate dependent bull The two dimensional field is described by a gradient of a scalar (E) or curl of a pseudo-scale (B)

Grad (or E) modes

Curl (or B) modes

Temperature map T ( ˆ n )

Polarization map P( ˆ n ) E B

(density fluctuations have no handness so no contributionto B-modes) B-Modes=Gravity Waves

Several inflationarymodels predicta sizable GW background(rgt001) if nlt1

Pagano Cooray MelchiorriAnd Kamionkowsky JCAP 08

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
  • Slide 8
  • Slide 9
  • Slide 10
  • Slide 11
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Slide 16
  • Slide 17
  • Slide 18
  • Slide 19
  • Slide 20
  • Slide 21
  • Slide 22
  • Slide 23
  • Slide 24
  • Slide 25
  • Slide 26
  • Slide 27
  • Slide 28
  • Slide 29
  • Slide 30
  • Slide 31
  • Slide 32
  • Slide 33
  • Slide 34
Page 5: PLANCK LIMPATTO SULLA COSMOLOGIA ALESSANDRO MELCHIORRI

Temperature Angular spectrum varies withtotbchns hellip

We can measure cosmological parameters with CMB

How to get a bound on a cosmological parameter

DATA

Fiducial cosmological model(Ωbh2 Ωmh2 h ns τ Σmν )

PARAMETERESTIMATES

Dunkley et al 2008

Blu Dati attualiRosso Planck

F De Bernardis E Calabrese P de Bernardis S Masi AM 2009

Next experiment for measuring neutrino mass KATRIN eVm 90

eVm 66

eVm 66

Current limits from laboratory

Like

lihoo

d

GG0

Constraints on Newtonrsquos constant

S Galli A Melchiorri G Smoot O Zahn arxiv09051808

51 0 GG

When the luminous source is the CMB the lensing effect essentially re-maps the temperature field according to

unlensed lensed

CMB Temperature Lensing

We phenomenologically uncoupled weak lensing from primary anisotropies by introducing a new parameter AL that scales the

lensing potential such as

bull AL=0 corresponds to a theory ignoring lensingbull AL=1 corresponds to the standard weak lensing scenario

Analysis Method

AL can also be seen like a fudge parameter controlling the amount of smoothing of the peaks In fact in this figure we can see that the curves with increasingly smoothed peak structures correspond to analysis with increasingly values of AL (0 1 3 6 9)

Planck

Letting the lensing parameter vary the obtained constraints are

Future constraints

HFI 143 GHz Channelbull fsky =1bull θ=7rsquo bull NoiseVar=3410-4 μK2

bull fiducial model with ACBAR+WMAP3 best fit parameters

E Calabrese A Slosar A Melchiorri G Smoot O Zahn PRD 2008

Calabrese Martinelli AM Pagano 2009

CMB POLARIZATION

Fluctuation and GW generator

Fluctuation amplifier

But GW dissipatorhellip

Hot Dense SmoothCool Rarefied

Clumpy

On this map we see 100000 horizons at z=1000hellip 32tta

ctdhor

2121 )12(

2

1

PCT

T

T

T

SCALAR

+

TENSOR

=

We measure thesum of the two spectraIf GW are present thislowers the amplitudeof the peakDegeneracy with other Parameters

kMpckS

T

A

Ar

10170

CMB Polarizationbull Polarization is described by Stokes-Q and -Ubull These are coordinate dependent bull The two dimensional field is described by a gradient of a scalar (E) or curl of a pseudo-scale (B)

Grad (or E) modes

Curl (or B) modes

Temperature map T ( ˆ n )

Polarization map P( ˆ n ) E B

(density fluctuations have no handness so no contributionto B-modes) B-Modes=Gravity Waves

Several inflationarymodels predicta sizable GW background(rgt001) if nlt1

Pagano Cooray MelchiorriAnd Kamionkowsky JCAP 08

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
  • Slide 8
  • Slide 9
  • Slide 10
  • Slide 11
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Slide 16
  • Slide 17
  • Slide 18
  • Slide 19
  • Slide 20
  • Slide 21
  • Slide 22
  • Slide 23
  • Slide 24
  • Slide 25
  • Slide 26
  • Slide 27
  • Slide 28
  • Slide 29
  • Slide 30
  • Slide 31
  • Slide 32
  • Slide 33
  • Slide 34
Page 6: PLANCK LIMPATTO SULLA COSMOLOGIA ALESSANDRO MELCHIORRI

How to get a bound on a cosmological parameter

DATA

Fiducial cosmological model(Ωbh2 Ωmh2 h ns τ Σmν )

PARAMETERESTIMATES

Dunkley et al 2008

Blu Dati attualiRosso Planck

F De Bernardis E Calabrese P de Bernardis S Masi AM 2009

Next experiment for measuring neutrino mass KATRIN eVm 90

eVm 66

eVm 66

Current limits from laboratory

Like

lihoo

d

GG0

Constraints on Newtonrsquos constant

S Galli A Melchiorri G Smoot O Zahn arxiv09051808

51 0 GG

When the luminous source is the CMB the lensing effect essentially re-maps the temperature field according to

unlensed lensed

CMB Temperature Lensing

We phenomenologically uncoupled weak lensing from primary anisotropies by introducing a new parameter AL that scales the

lensing potential such as

bull AL=0 corresponds to a theory ignoring lensingbull AL=1 corresponds to the standard weak lensing scenario

Analysis Method

AL can also be seen like a fudge parameter controlling the amount of smoothing of the peaks In fact in this figure we can see that the curves with increasingly smoothed peak structures correspond to analysis with increasingly values of AL (0 1 3 6 9)

Planck

Letting the lensing parameter vary the obtained constraints are

Future constraints

HFI 143 GHz Channelbull fsky =1bull θ=7rsquo bull NoiseVar=3410-4 μK2

bull fiducial model with ACBAR+WMAP3 best fit parameters

E Calabrese A Slosar A Melchiorri G Smoot O Zahn PRD 2008

Calabrese Martinelli AM Pagano 2009

CMB POLARIZATION

Fluctuation and GW generator

Fluctuation amplifier

But GW dissipatorhellip

Hot Dense SmoothCool Rarefied

Clumpy

On this map we see 100000 horizons at z=1000hellip 32tta

ctdhor

2121 )12(

2

1

PCT

T

T

T

SCALAR

+

TENSOR

=

We measure thesum of the two spectraIf GW are present thislowers the amplitudeof the peakDegeneracy with other Parameters

kMpckS

T

A

Ar

10170

CMB Polarizationbull Polarization is described by Stokes-Q and -Ubull These are coordinate dependent bull The two dimensional field is described by a gradient of a scalar (E) or curl of a pseudo-scale (B)

Grad (or E) modes

Curl (or B) modes

Temperature map T ( ˆ n )

Polarization map P( ˆ n ) E B

(density fluctuations have no handness so no contributionto B-modes) B-Modes=Gravity Waves

Several inflationarymodels predicta sizable GW background(rgt001) if nlt1

Pagano Cooray MelchiorriAnd Kamionkowsky JCAP 08

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
  • Slide 8
  • Slide 9
  • Slide 10
  • Slide 11
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Slide 16
  • Slide 17
  • Slide 18
  • Slide 19
  • Slide 20
  • Slide 21
  • Slide 22
  • Slide 23
  • Slide 24
  • Slide 25
  • Slide 26
  • Slide 27
  • Slide 28
  • Slide 29
  • Slide 30
  • Slide 31
  • Slide 32
  • Slide 33
  • Slide 34
Page 7: PLANCK LIMPATTO SULLA COSMOLOGIA ALESSANDRO MELCHIORRI

Dunkley et al 2008

Blu Dati attualiRosso Planck

F De Bernardis E Calabrese P de Bernardis S Masi AM 2009

Next experiment for measuring neutrino mass KATRIN eVm 90

eVm 66

eVm 66

Current limits from laboratory

Like

lihoo

d

GG0

Constraints on Newtonrsquos constant

S Galli A Melchiorri G Smoot O Zahn arxiv09051808

51 0 GG

When the luminous source is the CMB the lensing effect essentially re-maps the temperature field according to

unlensed lensed

CMB Temperature Lensing

We phenomenologically uncoupled weak lensing from primary anisotropies by introducing a new parameter AL that scales the

lensing potential such as

bull AL=0 corresponds to a theory ignoring lensingbull AL=1 corresponds to the standard weak lensing scenario

Analysis Method

AL can also be seen like a fudge parameter controlling the amount of smoothing of the peaks In fact in this figure we can see that the curves with increasingly smoothed peak structures correspond to analysis with increasingly values of AL (0 1 3 6 9)

Planck

Letting the lensing parameter vary the obtained constraints are

Future constraints

HFI 143 GHz Channelbull fsky =1bull θ=7rsquo bull NoiseVar=3410-4 μK2

bull fiducial model with ACBAR+WMAP3 best fit parameters

E Calabrese A Slosar A Melchiorri G Smoot O Zahn PRD 2008

Calabrese Martinelli AM Pagano 2009

CMB POLARIZATION

Fluctuation and GW generator

Fluctuation amplifier

But GW dissipatorhellip

Hot Dense SmoothCool Rarefied

Clumpy

On this map we see 100000 horizons at z=1000hellip 32tta

ctdhor

2121 )12(

2

1

PCT

T

T

T

SCALAR

+

TENSOR

=

We measure thesum of the two spectraIf GW are present thislowers the amplitudeof the peakDegeneracy with other Parameters

kMpckS

T

A

Ar

10170

CMB Polarizationbull Polarization is described by Stokes-Q and -Ubull These are coordinate dependent bull The two dimensional field is described by a gradient of a scalar (E) or curl of a pseudo-scale (B)

Grad (or E) modes

Curl (or B) modes

Temperature map T ( ˆ n )

Polarization map P( ˆ n ) E B

(density fluctuations have no handness so no contributionto B-modes) B-Modes=Gravity Waves

Several inflationarymodels predicta sizable GW background(rgt001) if nlt1

Pagano Cooray MelchiorriAnd Kamionkowsky JCAP 08

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
  • Slide 8
  • Slide 9
  • Slide 10
  • Slide 11
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Slide 16
  • Slide 17
  • Slide 18
  • Slide 19
  • Slide 20
  • Slide 21
  • Slide 22
  • Slide 23
  • Slide 24
  • Slide 25
  • Slide 26
  • Slide 27
  • Slide 28
  • Slide 29
  • Slide 30
  • Slide 31
  • Slide 32
  • Slide 33
  • Slide 34
Page 8: PLANCK LIMPATTO SULLA COSMOLOGIA ALESSANDRO MELCHIORRI

Blu Dati attualiRosso Planck

F De Bernardis E Calabrese P de Bernardis S Masi AM 2009

Next experiment for measuring neutrino mass KATRIN eVm 90

eVm 66

eVm 66

Current limits from laboratory

Like

lihoo

d

GG0

Constraints on Newtonrsquos constant

S Galli A Melchiorri G Smoot O Zahn arxiv09051808

51 0 GG

When the luminous source is the CMB the lensing effect essentially re-maps the temperature field according to

unlensed lensed

CMB Temperature Lensing

We phenomenologically uncoupled weak lensing from primary anisotropies by introducing a new parameter AL that scales the

lensing potential such as

bull AL=0 corresponds to a theory ignoring lensingbull AL=1 corresponds to the standard weak lensing scenario

Analysis Method

AL can also be seen like a fudge parameter controlling the amount of smoothing of the peaks In fact in this figure we can see that the curves with increasingly smoothed peak structures correspond to analysis with increasingly values of AL (0 1 3 6 9)

Planck

Letting the lensing parameter vary the obtained constraints are

Future constraints

HFI 143 GHz Channelbull fsky =1bull θ=7rsquo bull NoiseVar=3410-4 μK2

bull fiducial model with ACBAR+WMAP3 best fit parameters

E Calabrese A Slosar A Melchiorri G Smoot O Zahn PRD 2008

Calabrese Martinelli AM Pagano 2009

CMB POLARIZATION

Fluctuation and GW generator

Fluctuation amplifier

But GW dissipatorhellip

Hot Dense SmoothCool Rarefied

Clumpy

On this map we see 100000 horizons at z=1000hellip 32tta

ctdhor

2121 )12(

2

1

PCT

T

T

T

SCALAR

+

TENSOR

=

We measure thesum of the two spectraIf GW are present thislowers the amplitudeof the peakDegeneracy with other Parameters

kMpckS

T

A

Ar

10170

CMB Polarizationbull Polarization is described by Stokes-Q and -Ubull These are coordinate dependent bull The two dimensional field is described by a gradient of a scalar (E) or curl of a pseudo-scale (B)

Grad (or E) modes

Curl (or B) modes

Temperature map T ( ˆ n )

Polarization map P( ˆ n ) E B

(density fluctuations have no handness so no contributionto B-modes) B-Modes=Gravity Waves

Several inflationarymodels predicta sizable GW background(rgt001) if nlt1

Pagano Cooray MelchiorriAnd Kamionkowsky JCAP 08

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
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Page 9: PLANCK LIMPATTO SULLA COSMOLOGIA ALESSANDRO MELCHIORRI

F De Bernardis E Calabrese P de Bernardis S Masi AM 2009

Next experiment for measuring neutrino mass KATRIN eVm 90

eVm 66

eVm 66

Current limits from laboratory

Like

lihoo

d

GG0

Constraints on Newtonrsquos constant

S Galli A Melchiorri G Smoot O Zahn arxiv09051808

51 0 GG

When the luminous source is the CMB the lensing effect essentially re-maps the temperature field according to

unlensed lensed

CMB Temperature Lensing

We phenomenologically uncoupled weak lensing from primary anisotropies by introducing a new parameter AL that scales the

lensing potential such as

bull AL=0 corresponds to a theory ignoring lensingbull AL=1 corresponds to the standard weak lensing scenario

Analysis Method

AL can also be seen like a fudge parameter controlling the amount of smoothing of the peaks In fact in this figure we can see that the curves with increasingly smoothed peak structures correspond to analysis with increasingly values of AL (0 1 3 6 9)

Planck

Letting the lensing parameter vary the obtained constraints are

Future constraints

HFI 143 GHz Channelbull fsky =1bull θ=7rsquo bull NoiseVar=3410-4 μK2

bull fiducial model with ACBAR+WMAP3 best fit parameters

E Calabrese A Slosar A Melchiorri G Smoot O Zahn PRD 2008

Calabrese Martinelli AM Pagano 2009

CMB POLARIZATION

Fluctuation and GW generator

Fluctuation amplifier

But GW dissipatorhellip

Hot Dense SmoothCool Rarefied

Clumpy

On this map we see 100000 horizons at z=1000hellip 32tta

ctdhor

2121 )12(

2

1

PCT

T

T

T

SCALAR

+

TENSOR

=

We measure thesum of the two spectraIf GW are present thislowers the amplitudeof the peakDegeneracy with other Parameters

kMpckS

T

A

Ar

10170

CMB Polarizationbull Polarization is described by Stokes-Q and -Ubull These are coordinate dependent bull The two dimensional field is described by a gradient of a scalar (E) or curl of a pseudo-scale (B)

Grad (or E) modes

Curl (or B) modes

Temperature map T ( ˆ n )

Polarization map P( ˆ n ) E B

(density fluctuations have no handness so no contributionto B-modes) B-Modes=Gravity Waves

Several inflationarymodels predicta sizable GW background(rgt001) if nlt1

Pagano Cooray MelchiorriAnd Kamionkowsky JCAP 08

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
  • Slide 8
  • Slide 9
  • Slide 10
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  • Slide 14
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  • Slide 32
  • Slide 33
  • Slide 34
Page 10: PLANCK LIMPATTO SULLA COSMOLOGIA ALESSANDRO MELCHIORRI

Next experiment for measuring neutrino mass KATRIN eVm 90

eVm 66

eVm 66

Current limits from laboratory

Like

lihoo

d

GG0

Constraints on Newtonrsquos constant

S Galli A Melchiorri G Smoot O Zahn arxiv09051808

51 0 GG

When the luminous source is the CMB the lensing effect essentially re-maps the temperature field according to

unlensed lensed

CMB Temperature Lensing

We phenomenologically uncoupled weak lensing from primary anisotropies by introducing a new parameter AL that scales the

lensing potential such as

bull AL=0 corresponds to a theory ignoring lensingbull AL=1 corresponds to the standard weak lensing scenario

Analysis Method

AL can also be seen like a fudge parameter controlling the amount of smoothing of the peaks In fact in this figure we can see that the curves with increasingly smoothed peak structures correspond to analysis with increasingly values of AL (0 1 3 6 9)

Planck

Letting the lensing parameter vary the obtained constraints are

Future constraints

HFI 143 GHz Channelbull fsky =1bull θ=7rsquo bull NoiseVar=3410-4 μK2

bull fiducial model with ACBAR+WMAP3 best fit parameters

E Calabrese A Slosar A Melchiorri G Smoot O Zahn PRD 2008

Calabrese Martinelli AM Pagano 2009

CMB POLARIZATION

Fluctuation and GW generator

Fluctuation amplifier

But GW dissipatorhellip

Hot Dense SmoothCool Rarefied

Clumpy

On this map we see 100000 horizons at z=1000hellip 32tta

ctdhor

2121 )12(

2

1

PCT

T

T

T

SCALAR

+

TENSOR

=

We measure thesum of the two spectraIf GW are present thislowers the amplitudeof the peakDegeneracy with other Parameters

kMpckS

T

A

Ar

10170

CMB Polarizationbull Polarization is described by Stokes-Q and -Ubull These are coordinate dependent bull The two dimensional field is described by a gradient of a scalar (E) or curl of a pseudo-scale (B)

Grad (or E) modes

Curl (or B) modes

Temperature map T ( ˆ n )

Polarization map P( ˆ n ) E B

(density fluctuations have no handness so no contributionto B-modes) B-Modes=Gravity Waves

Several inflationarymodels predicta sizable GW background(rgt001) if nlt1

Pagano Cooray MelchiorriAnd Kamionkowsky JCAP 08

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
  • Slide 8
  • Slide 9
  • Slide 10
  • Slide 11
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Slide 16
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  • Slide 34
Page 11: PLANCK LIMPATTO SULLA COSMOLOGIA ALESSANDRO MELCHIORRI

Like

lihoo

d

GG0

Constraints on Newtonrsquos constant

S Galli A Melchiorri G Smoot O Zahn arxiv09051808

51 0 GG

When the luminous source is the CMB the lensing effect essentially re-maps the temperature field according to

unlensed lensed

CMB Temperature Lensing

We phenomenologically uncoupled weak lensing from primary anisotropies by introducing a new parameter AL that scales the

lensing potential such as

bull AL=0 corresponds to a theory ignoring lensingbull AL=1 corresponds to the standard weak lensing scenario

Analysis Method

AL can also be seen like a fudge parameter controlling the amount of smoothing of the peaks In fact in this figure we can see that the curves with increasingly smoothed peak structures correspond to analysis with increasingly values of AL (0 1 3 6 9)

Planck

Letting the lensing parameter vary the obtained constraints are

Future constraints

HFI 143 GHz Channelbull fsky =1bull θ=7rsquo bull NoiseVar=3410-4 μK2

bull fiducial model with ACBAR+WMAP3 best fit parameters

E Calabrese A Slosar A Melchiorri G Smoot O Zahn PRD 2008

Calabrese Martinelli AM Pagano 2009

CMB POLARIZATION

Fluctuation and GW generator

Fluctuation amplifier

But GW dissipatorhellip

Hot Dense SmoothCool Rarefied

Clumpy

On this map we see 100000 horizons at z=1000hellip 32tta

ctdhor

2121 )12(

2

1

PCT

T

T

T

SCALAR

+

TENSOR

=

We measure thesum of the two spectraIf GW are present thislowers the amplitudeof the peakDegeneracy with other Parameters

kMpckS

T

A

Ar

10170

CMB Polarizationbull Polarization is described by Stokes-Q and -Ubull These are coordinate dependent bull The two dimensional field is described by a gradient of a scalar (E) or curl of a pseudo-scale (B)

Grad (or E) modes

Curl (or B) modes

Temperature map T ( ˆ n )

Polarization map P( ˆ n ) E B

(density fluctuations have no handness so no contributionto B-modes) B-Modes=Gravity Waves

Several inflationarymodels predicta sizable GW background(rgt001) if nlt1

Pagano Cooray MelchiorriAnd Kamionkowsky JCAP 08

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
  • Slide 8
  • Slide 9
  • Slide 10
  • Slide 11
  • Slide 12
  • Slide 13
  • Slide 14
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Page 12: PLANCK LIMPATTO SULLA COSMOLOGIA ALESSANDRO MELCHIORRI

When the luminous source is the CMB the lensing effect essentially re-maps the temperature field according to

unlensed lensed

CMB Temperature Lensing

We phenomenologically uncoupled weak lensing from primary anisotropies by introducing a new parameter AL that scales the

lensing potential such as

bull AL=0 corresponds to a theory ignoring lensingbull AL=1 corresponds to the standard weak lensing scenario

Analysis Method

AL can also be seen like a fudge parameter controlling the amount of smoothing of the peaks In fact in this figure we can see that the curves with increasingly smoothed peak structures correspond to analysis with increasingly values of AL (0 1 3 6 9)

Planck

Letting the lensing parameter vary the obtained constraints are

Future constraints

HFI 143 GHz Channelbull fsky =1bull θ=7rsquo bull NoiseVar=3410-4 μK2

bull fiducial model with ACBAR+WMAP3 best fit parameters

E Calabrese A Slosar A Melchiorri G Smoot O Zahn PRD 2008

Calabrese Martinelli AM Pagano 2009

CMB POLARIZATION

Fluctuation and GW generator

Fluctuation amplifier

But GW dissipatorhellip

Hot Dense SmoothCool Rarefied

Clumpy

On this map we see 100000 horizons at z=1000hellip 32tta

ctdhor

2121 )12(

2

1

PCT

T

T

T

SCALAR

+

TENSOR

=

We measure thesum of the two spectraIf GW are present thislowers the amplitudeof the peakDegeneracy with other Parameters

kMpckS

T

A

Ar

10170

CMB Polarizationbull Polarization is described by Stokes-Q and -Ubull These are coordinate dependent bull The two dimensional field is described by a gradient of a scalar (E) or curl of a pseudo-scale (B)

Grad (or E) modes

Curl (or B) modes

Temperature map T ( ˆ n )

Polarization map P( ˆ n ) E B

(density fluctuations have no handness so no contributionto B-modes) B-Modes=Gravity Waves

Several inflationarymodels predicta sizable GW background(rgt001) if nlt1

Pagano Cooray MelchiorriAnd Kamionkowsky JCAP 08

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
  • Slide 8
  • Slide 9
  • Slide 10
  • Slide 11
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Page 13: PLANCK LIMPATTO SULLA COSMOLOGIA ALESSANDRO MELCHIORRI

We phenomenologically uncoupled weak lensing from primary anisotropies by introducing a new parameter AL that scales the

lensing potential such as

bull AL=0 corresponds to a theory ignoring lensingbull AL=1 corresponds to the standard weak lensing scenario

Analysis Method

AL can also be seen like a fudge parameter controlling the amount of smoothing of the peaks In fact in this figure we can see that the curves with increasingly smoothed peak structures correspond to analysis with increasingly values of AL (0 1 3 6 9)

Planck

Letting the lensing parameter vary the obtained constraints are

Future constraints

HFI 143 GHz Channelbull fsky =1bull θ=7rsquo bull NoiseVar=3410-4 μK2

bull fiducial model with ACBAR+WMAP3 best fit parameters

E Calabrese A Slosar A Melchiorri G Smoot O Zahn PRD 2008

Calabrese Martinelli AM Pagano 2009

CMB POLARIZATION

Fluctuation and GW generator

Fluctuation amplifier

But GW dissipatorhellip

Hot Dense SmoothCool Rarefied

Clumpy

On this map we see 100000 horizons at z=1000hellip 32tta

ctdhor

2121 )12(

2

1

PCT

T

T

T

SCALAR

+

TENSOR

=

We measure thesum of the two spectraIf GW are present thislowers the amplitudeof the peakDegeneracy with other Parameters

kMpckS

T

A

Ar

10170

CMB Polarizationbull Polarization is described by Stokes-Q and -Ubull These are coordinate dependent bull The two dimensional field is described by a gradient of a scalar (E) or curl of a pseudo-scale (B)

Grad (or E) modes

Curl (or B) modes

Temperature map T ( ˆ n )

Polarization map P( ˆ n ) E B

(density fluctuations have no handness so no contributionto B-modes) B-Modes=Gravity Waves

Several inflationarymodels predicta sizable GW background(rgt001) if nlt1

Pagano Cooray MelchiorriAnd Kamionkowsky JCAP 08

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
  • Slide 8
  • Slide 9
  • Slide 10
  • Slide 11
  • Slide 12
  • Slide 13
  • Slide 14
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  • Slide 16
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Page 14: PLANCK LIMPATTO SULLA COSMOLOGIA ALESSANDRO MELCHIORRI

Planck

Letting the lensing parameter vary the obtained constraints are

Future constraints

HFI 143 GHz Channelbull fsky =1bull θ=7rsquo bull NoiseVar=3410-4 μK2

bull fiducial model with ACBAR+WMAP3 best fit parameters

E Calabrese A Slosar A Melchiorri G Smoot O Zahn PRD 2008

Calabrese Martinelli AM Pagano 2009

CMB POLARIZATION

Fluctuation and GW generator

Fluctuation amplifier

But GW dissipatorhellip

Hot Dense SmoothCool Rarefied

Clumpy

On this map we see 100000 horizons at z=1000hellip 32tta

ctdhor

2121 )12(

2

1

PCT

T

T

T

SCALAR

+

TENSOR

=

We measure thesum of the two spectraIf GW are present thislowers the amplitudeof the peakDegeneracy with other Parameters

kMpckS

T

A

Ar

10170

CMB Polarizationbull Polarization is described by Stokes-Q and -Ubull These are coordinate dependent bull The two dimensional field is described by a gradient of a scalar (E) or curl of a pseudo-scale (B)

Grad (or E) modes

Curl (or B) modes

Temperature map T ( ˆ n )

Polarization map P( ˆ n ) E B

(density fluctuations have no handness so no contributionto B-modes) B-Modes=Gravity Waves

Several inflationarymodels predicta sizable GW background(rgt001) if nlt1

Pagano Cooray MelchiorriAnd Kamionkowsky JCAP 08

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
  • Slide 8
  • Slide 9
  • Slide 10
  • Slide 11
  • Slide 12
  • Slide 13
  • Slide 14
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Page 15: PLANCK LIMPATTO SULLA COSMOLOGIA ALESSANDRO MELCHIORRI

Calabrese Martinelli AM Pagano 2009

CMB POLARIZATION

Fluctuation and GW generator

Fluctuation amplifier

But GW dissipatorhellip

Hot Dense SmoothCool Rarefied

Clumpy

On this map we see 100000 horizons at z=1000hellip 32tta

ctdhor

2121 )12(

2

1

PCT

T

T

T

SCALAR

+

TENSOR

=

We measure thesum of the two spectraIf GW are present thislowers the amplitudeof the peakDegeneracy with other Parameters

kMpckS

T

A

Ar

10170

CMB Polarizationbull Polarization is described by Stokes-Q and -Ubull These are coordinate dependent bull The two dimensional field is described by a gradient of a scalar (E) or curl of a pseudo-scale (B)

Grad (or E) modes

Curl (or B) modes

Temperature map T ( ˆ n )

Polarization map P( ˆ n ) E B

(density fluctuations have no handness so no contributionto B-modes) B-Modes=Gravity Waves

Several inflationarymodels predicta sizable GW background(rgt001) if nlt1

Pagano Cooray MelchiorriAnd Kamionkowsky JCAP 08

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
  • Slide 8
  • Slide 9
  • Slide 10
  • Slide 11
  • Slide 12
  • Slide 13
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  • Slide 34
Page 16: PLANCK LIMPATTO SULLA COSMOLOGIA ALESSANDRO MELCHIORRI

CMB POLARIZATION

Fluctuation and GW generator

Fluctuation amplifier

But GW dissipatorhellip

Hot Dense SmoothCool Rarefied

Clumpy

On this map we see 100000 horizons at z=1000hellip 32tta

ctdhor

2121 )12(

2

1

PCT

T

T

T

SCALAR

+

TENSOR

=

We measure thesum of the two spectraIf GW are present thislowers the amplitudeof the peakDegeneracy with other Parameters

kMpckS

T

A

Ar

10170

CMB Polarizationbull Polarization is described by Stokes-Q and -Ubull These are coordinate dependent bull The two dimensional field is described by a gradient of a scalar (E) or curl of a pseudo-scale (B)

Grad (or E) modes

Curl (or B) modes

Temperature map T ( ˆ n )

Polarization map P( ˆ n ) E B

(density fluctuations have no handness so no contributionto B-modes) B-Modes=Gravity Waves

Several inflationarymodels predicta sizable GW background(rgt001) if nlt1

Pagano Cooray MelchiorriAnd Kamionkowsky JCAP 08

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
  • Slide 8
  • Slide 9
  • Slide 10
  • Slide 11
  • Slide 12
  • Slide 13
  • Slide 14
  • Slide 15
  • Slide 16
  • Slide 17
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  • Slide 21
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Page 17: PLANCK LIMPATTO SULLA COSMOLOGIA ALESSANDRO MELCHIORRI

Fluctuation and GW generator

Fluctuation amplifier

But GW dissipatorhellip

Hot Dense SmoothCool Rarefied

Clumpy

On this map we see 100000 horizons at z=1000hellip 32tta

ctdhor

2121 )12(

2

1

PCT

T

T

T

SCALAR

+

TENSOR

=

We measure thesum of the two spectraIf GW are present thislowers the amplitudeof the peakDegeneracy with other Parameters

kMpckS

T

A

Ar

10170

CMB Polarizationbull Polarization is described by Stokes-Q and -Ubull These are coordinate dependent bull The two dimensional field is described by a gradient of a scalar (E) or curl of a pseudo-scale (B)

Grad (or E) modes

Curl (or B) modes

Temperature map T ( ˆ n )

Polarization map P( ˆ n ) E B

(density fluctuations have no handness so no contributionto B-modes) B-Modes=Gravity Waves

Several inflationarymodels predicta sizable GW background(rgt001) if nlt1

Pagano Cooray MelchiorriAnd Kamionkowsky JCAP 08

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
  • Slide 8
  • Slide 9
  • Slide 10
  • Slide 11
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Page 18: PLANCK LIMPATTO SULLA COSMOLOGIA ALESSANDRO MELCHIORRI

On this map we see 100000 horizons at z=1000hellip 32tta

ctdhor

2121 )12(

2

1

PCT

T

T

T

SCALAR

+

TENSOR

=

We measure thesum of the two spectraIf GW are present thislowers the amplitudeof the peakDegeneracy with other Parameters

kMpckS

T

A

Ar

10170

CMB Polarizationbull Polarization is described by Stokes-Q and -Ubull These are coordinate dependent bull The two dimensional field is described by a gradient of a scalar (E) or curl of a pseudo-scale (B)

Grad (or E) modes

Curl (or B) modes

Temperature map T ( ˆ n )

Polarization map P( ˆ n ) E B

(density fluctuations have no handness so no contributionto B-modes) B-Modes=Gravity Waves

Several inflationarymodels predicta sizable GW background(rgt001) if nlt1

Pagano Cooray MelchiorriAnd Kamionkowsky JCAP 08

  • Slide 1
  • Slide 2
  • Slide 3
  • Slide 4
  • Slide 5
  • Slide 6
  • Slide 7
  • Slide 8
  • Slide 9
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Page 19: PLANCK LIMPATTO SULLA COSMOLOGIA ALESSANDRO MELCHIORRI

2121 )12(

2

1

PCT

T

T

T

SCALAR

+

TENSOR

=

We measure thesum of the two spectraIf GW are present thislowers the amplitudeof the peakDegeneracy with other Parameters

kMpckS

T

A

Ar

10170

CMB Polarizationbull Polarization is described by Stokes-Q and -Ubull These are coordinate dependent bull The two dimensional field is described by a gradient of a scalar (E) or curl of a pseudo-scale (B)

Grad (or E) modes

Curl (or B) modes

Temperature map T ( ˆ n )

Polarization map P( ˆ n ) E B

(density fluctuations have no handness so no contributionto B-modes) B-Modes=Gravity Waves

Several inflationarymodels predicta sizable GW background(rgt001) if nlt1

Pagano Cooray MelchiorriAnd Kamionkowsky JCAP 08

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SCALAR

+

TENSOR

=

We measure thesum of the two spectraIf GW are present thislowers the amplitudeof the peakDegeneracy with other Parameters

kMpckS

T

A

Ar

10170

CMB Polarizationbull Polarization is described by Stokes-Q and -Ubull These are coordinate dependent bull The two dimensional field is described by a gradient of a scalar (E) or curl of a pseudo-scale (B)

Grad (or E) modes

Curl (or B) modes

Temperature map T ( ˆ n )

Polarization map P( ˆ n ) E B

(density fluctuations have no handness so no contributionto B-modes) B-Modes=Gravity Waves

Several inflationarymodels predicta sizable GW background(rgt001) if nlt1

Pagano Cooray MelchiorriAnd Kamionkowsky JCAP 08

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Page 21: PLANCK LIMPATTO SULLA COSMOLOGIA ALESSANDRO MELCHIORRI

kMpckS

T

A

Ar

10170

CMB Polarizationbull Polarization is described by Stokes-Q and -Ubull These are coordinate dependent bull The two dimensional field is described by a gradient of a scalar (E) or curl of a pseudo-scale (B)

Grad (or E) modes

Curl (or B) modes

Temperature map T ( ˆ n )

Polarization map P( ˆ n ) E B

(density fluctuations have no handness so no contributionto B-modes) B-Modes=Gravity Waves

Several inflationarymodels predicta sizable GW background(rgt001) if nlt1

Pagano Cooray MelchiorriAnd Kamionkowsky JCAP 08

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Page 22: PLANCK LIMPATTO SULLA COSMOLOGIA ALESSANDRO MELCHIORRI

CMB Polarizationbull Polarization is described by Stokes-Q and -Ubull These are coordinate dependent bull The two dimensional field is described by a gradient of a scalar (E) or curl of a pseudo-scale (B)

Grad (or E) modes

Curl (or B) modes

Temperature map T ( ˆ n )

Polarization map P( ˆ n ) E B

(density fluctuations have no handness so no contributionto B-modes) B-Modes=Gravity Waves

Several inflationarymodels predicta sizable GW background(rgt001) if nlt1

Pagano Cooray MelchiorriAnd Kamionkowsky JCAP 08

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Several inflationarymodels predicta sizable GW background(rgt001) if nlt1

Pagano Cooray MelchiorriAnd Kamionkowsky JCAP 08

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