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Francesco Sannino
Zakopane 2009
Conformal Dynamics from LHC to Cosmology III
C P 3 - O r i g i n s
Particle Physics & Origins of Mass
Technicolor
SM is Unnatural
DEWSB
Need for Conformal Dynamics
Lecture 1
Atoms4%
Dark Matter22%
Dark Energy74%
Dark Matter
!DM
!B! 5
U(1) baryon number approx. conserved.
We observe a B - Anti B asymmetry.
EW unbroken B - L allows B to survive the EW transition.
B - L need not to be conserved at GUT scales
!B
A particle similar to the nucleon
But electrically neutral
At most EW-type cross sections
Great if connected to the ESWB
What if DM is due to an asymmetry?
Technibarion is similar to the nucleon
TB number like the B number
At most EW-type cross sections
EW scale and interactions built in
Technicolor is a natural example(TIMP)
Nussinov, 86Barr - Chivukula - Farhi 90Sarkar 96Gudnason - Kouvaris - F.S. 06
Ultra Minimal Technicolor is the first physical realization Ryttov - F.S. 08
PAMELA/ATIC Decaying Dark Matter + Unification, Nardi, F.S., Strumia, 08.
TIMP can be a Boson or a Fermion
Can be (or not) neutral w.r.t. Weak Interactions
Within Technicolor
TIMP is a pseudo Goldstone-boson
Ultra Minimal Technicolor
Ryttov - F.S. 08
Composite Unparticle + TC F.S. - Zwicky 08
Unbaryon (To investigate)
Plus sign minus signCDMS II Ge CombinedXENON10 2007 Projected superCDMS
Foadi, Frandsen, F.S. 08
(GeV)
10 50 100 500 1000 5000 1! 10410"45
10"44
10"43
10"42
10"41M#
$nucleon!cm"
2 "
!nucleon =µ2
4"
!Z
A
8" # dB
!2+
dM fmN
M2HM!
"2
µ = M!mN/(M! + mN )
MH = 300 GeV
dB = ±1! =3 TeV
dM = 1
Earth Based Constraints
Asymmetric DM Relic Density
mTB
mp! 1 TeV
1 GeV= 103
TB
B! exp
!"mTB(T !)
T !
"# 10"3 T ! ! 200 GeV
!TB
!B=
TB
B
mTB
mp! O(1)
ConditionsUniverse Electric Neutrality
Chemical Equilibrium
EW Sphaleron Processes, Kuzmin-Rubakov-Shaposhnikov
TB - B violated at High Energies & approx. conserved at EW
(Extra) EW Phase Transitions
Cline, Jarvinen, F.S. 08Jarvinen, Ryttov, F.S. 09
Baryogenesis
Lecture 2
Phases of Gauge Theories
Gauge Theories Knobs:
Nf, Nc, Representations, Temperature, ...
Discoveries:
IR CD for low number of flavors!
Universal Structure
Fund
2A
2S Adj
Ladder
Catterall, SanninoDel Debbio, Patella,PicaCatterall, Giedt, Sannino, SchneibleHietanen, Rummukainen, Tuominen
Iwasaki et al.
Appelquist, Fleming, NeilDeuzeman, Lombardo, Pallante
×
×
! = 1 ! = 2
Shamir, Svetitsky, DeGrand
Non-SUSY Phase Diagram Bound
Ryttov and F.S. 07
5 6 7 8 9 100
5
10
15
20
N
Nf
A.F.B.F. & γ= 2 SD
SO(N)
SO(N) Phase Diagram
F.S. 09
Sp(2N) Phase Diagram
F.S. 092 3 4 5 60
5
10
15
20
25
30
35
N
N Wf
A.F. B.F. & γ= 2 SD
SP(2N)
Conformal House
Ryttov and F.S. 09
2 Rep. ExampleSU(N) Adjoint & Fundamental Dirac Matter
010
20
Nf !F"
0.00.5
1.01.5
Nf !Adj"2
4
6
8
10
N
Lecture 3
Minimal Walking Models
Predictions for LHC
Unification
Minimal Walking Technicolor
F.S. and Tuominen 04
Dietrich, F.S. Tuominen 06
Foadi, Frandsen, Ryttov, F.S. 07Cline, Jarvinen, F.S. 08
Belyaev, Foadi, Frandsen, Jarvinen, Pukhov, F.S. 08
Gudnason, Kouvaris, F.S. 06Gudnason, Ryttov, F.S. 06
SU(3)
SU(2)
U(1)
U
D
Gt-up
t-down
t-glue SU(2)
NExtraNeutrino
EExtra Electron
U and D: Adj of SU(2)
MWT versus EWPD
Y=-3/2 for Leptons
S
T
1 TeV
117 GeV
LEP EWG Summer 2006
100 Gev < M1 < 800 Gev
100 Gev < M2 < 1000 Gev
SLeptons =16!
!1! 2Y ln
"M1
M2
#2
+1 + 8Y
20
"mZ
M1
#2
+1! 8Y
20
"mZ
M2
#2
+ O
"m4
Z
M4i
#$
The most economical WT theory
Compatible with precision measurements
Possible DM candidates and Unification investigated
Can support 1st order Electroweak Phase Transition
Can support exotic electric charges
Lattice studies have begun
MWT Features
Ultra Minimal Walking TechnicolorRyttov and F.S. 08
Eichten and Lane
SU(3)
SU(2)
U(1)
U
D
Gt-up
t-down
t-glue SU(2)
!2!1
t-lambda
U and D: Fund of SU(2)
t-lambdas: Adj of SU(2) Singlet of SM
Weyl Fermions
The most economical “2 rep” WT theory
Smallest naive S-parameter & # of fermions
Natural DM candidate visible at LHC
Order of the Electroweak PT under investigation
Rich unexplored Collider Phenomenology
UMT Features
Minimal Walking Technicolor
Back to
The Minimal Walking Theory
2 Adj. Dirac Flavors of SU(2)
The MWT Lagrangian
What you see is “not” what LHC will see
Heavy V/V coupling
Bare mass of the Axial
MWT effective lagrangian
L(Composites) + L(Mixing with SM) + L(New Leptons) + L(SM!Higgs)
Initial investigation we include:
Composite Higgs H
Composite Axial - Vector States R1,2
MA
LHC Phenomenology
A. Belyaev R. Foadi M. T. FrandsenM. O. JarvinenA. Pukhov
In collaboration with
CalcHepBFFJPS arXiv:0809.0793
An!ls and Demons of LHC
Comprehensive Effective Technicolor Lagrangian
Vector Mesons
Yukawas
** Link to MWT via Modified Weinberg Sum Rules **
Written in a renormalizable form
With imposed constraints from Precision Data
Foadi, Frandsen, Ryttov & F.S. 07
A working technicolor benchmark
Composite Higgs Signals
Associate Higgs Production BFFJPS 08, Zerwekh 05
Higgs To be done! ! !!
pp! HV
Walking/Higher dim. rep. can allow for:
Light Composite Higgs F.S. 08 Hong, Hsu, F.S. 04 Dietrich, F.S., Tuominen 05 Doff, Natale, Rodrigues da Silva 08 Doff, Natale, 09.
Light Composite Axial Foadi, Frandsen, Ryttov F.S., 07 Eichten, Lane 07
pp! HV
|!J | < 4.5, pjT > 30 GeV, |!l| < 2.5, pl
T > 15 GeV, !R(jj/jl) > .5
65 GeV < Mjj < 95 GeV
The way this event plot is done in a simple way.
1]Cross section is computed only for pp -> HW
2] Then CalcHEP adds decays of H to ZZ and on top of that it adds decay of W and ZZ to 4l and 2j.
A better way (we have not done)
pp -> WZZ. This means CalcHEP will need to compute many more diagrams. However, if we had done this fully. Once we added the cuts the results should be the same.
Why is the purple event distribution so sharp to the right.
pp! HW± !W±ZZ ! 4l + 2j
10-2
10-1
1
10
10 2
400 600 800 1000 1200
S=0.3g̃=5MH=400!s=14 TeV
M4ljj (GeV)Num
ber o
f eve
nts/
20 G
eV @
100
fb-1
10-2
10-1
1
10
10 2
400 600 800 1000 1200
S=0.3g̃=5MH=200!s=14 TeV
M4ljj (GeV)Num
ber o
f eve
nts/
20 G
eV @
100
fb-1
|!J | < 4.5, pjT > 30 GeV, |!l| < 2.5, pl
T > 15 GeV, !R(jj/jl) > .5
65 GeV < Mjj < 95 GeV
10-2
10-1
1
10
10 2
400 600 800 1000 1200
S=0.3g̃=5MH=200!s=10 TeV
M4ljj (GeV)Num
ber o
f eve
nts/
20 G
eV @
10
fb-1
10-2
10-1
1
10
10 2
400 600 800 1000 1200
S=0.3g̃=5MH=400!s=10 TeV
M4ljj (GeV)Num
ber o
f eve
nts/
20 G
eV @
10
fb-1
pp! HW± !W±ZZ ! 4l + 2j
Further Signatures
New SM Fermions
DM candidates
Dietrich, F.S., Tuominen 05Gudnason, Ryttov & F.S. 08
Foadi, Frandsen, FS. 08Ryttov & F.S. 08Gudnason, Kouvaris & F.S. 05Kainulainen, Tuominen, Virkajarvi 06Kouvaris 07; Kouvaris, Khlopov 08
Unification
Farhi-Susskind, 79 Gudnason-Ryttov-F.S. 06
!!1n (µ) = !!1
n (MZ)! bn
2"ln
!µ
MZ
"
BTh !b3 " b2
b2 " b1=
!!13 " !!1 sin2 "w
(1 + c2)!!1 sin2 "w " c2!!1# BExp
MGUT = MZ exp!2!
"!12 (MZ)! "!1
1 (MZ)b2 ! b1
"
Degree of SU(3)xSU(2)xU(1) Unification
1 - loop running for SU(n)
Unification Scale
b3 =43Ng ! 11
b2 =43Ng !
223
+16!"#$
Higgs
b1 =35
%209
Ng +16
&=
43Ng +
110!"#$
Higgs
BTh ! 0.53 BExp ! 0.72
BTh ! 0.68 BExp ! 0.72
b3 =43Ng ! 11
b2 =43Ng !
223
+23
12
!2(2 + 1)
2+ 1
"=
43
(Ng + 1)! 223
b1 =35
!209
Ng +209
"=
43
(Ng + 1)
Standard Model
Minimal Walking Technicolor
Adding Adjoint SM Matter
Minimal Walking Technicolor + SM Adjoint Matter
Colored Octet of Majorana Particles
Weak Triplet of Majorana Fermions
Extra SM Weyl Singlet
b3 =43Ng ! 11 + 2
b2 =43!Ng + 1
"! 22
3+
43
b1 =43!Ng + 1
"
BTh = 13/18 = 0.72(2) versus BExp ! 0.72
Gudnason-Ryttov-F.S. ph/0612230
Bajc-Senjanovic ph/0612029
MSSM
MWT + SM Adjoint Fermions
Zoom in MWT + SM Adjoint Fermions
• Composite States: Technirho, composite (light) Higgs
• Detect Light Higgs: “Elementary or Composite ?”
• Study:
• 4th Family of Leptons no Quarks
What LHC can see and how may it deceive you
pp! HV
• wino/bino/gluino-like produced. Have you seen SUSY, WTC or ... ?
• Study their couplings to SM fermions
What LHC can see and how may it deceive you
Unpleasant scenario:
• WW scatttering is unitarized at the tree level up to 4 TeV with new vectors states of about 1.5 TeV. LHC and ILC will not discover! (Foadi and FS 08)
• Introduced different types of viable technicolor theories
• Phase Diagram for Gauge Theories
• Presented Minimal Walking Technicolor
• Dark Matter as a technibaryon
• Unification
Summary
Unifying also TC Cartoon!
• (Ultra) Minimal Walking Technicolor
• Associate Production of the Composite Higgs
• Heavy Vectors are best produced and detected via Drell-Yan
Summary
Beyond S-T-U
Burgess et al.Barbieri et al.
Beyond S-T-U
Recovering S and T
Computing the Parameters for (Minimal) Walking Technicolor
Foadi, Frandsen, Ryttov, F.S.Foadi, Frandsen, F.S.
95% confidence level error ellipsesSolid line , dashed-line , dotted one
Closest point M_A=600 GeV, Further away M_A=150 GeV. Foadi, Frandsen, F.S.
Custodial Technicolor
S=0
Novel Symmetry
S=0S=0
Appelquist, F.S.
Still Constrained
Low Energy Scalar Sector
Low Energy Vector Sector
Higgsless versus Higgsful
Higgsless:
Higgsful:
Spectrum of Hadronic/Technihadronic States
Using ‘t Hooft Large N and Unitarity in Pion-Pion Scattering in QCD
Vector Meson is a quark-antiquark state:
Broad Sigma of multiquark nature
F.S. & Schechter, 95Harada, F.S. and Schechter, 03Caprini, Colangelo,Leutwyler 05Maiani,Piccinini, Polosa, Riquer 04F.S. and Schechter, 07
QCD is NOT higgsless!
Higgsless: ‘t Hooft Limit
MT! =!
2v0
F"
!3!
ND NTCm!
MTf0 =!
2v0
F"!
ND
!NTC!
3
" p!12
mf0
v0 ! 250GeV
MT!(TeV)
MTf0(TeV)
ND = 2NTC
ND =NTF
2
F.S. 07
p ! 1
3 4 5 6 7 8 90.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
M_H/M_V < 1 in 2-index theories (Corrigan - Ramond Limit)
Signals Independent
of the
Composite Higgs
Drell-Yan production of heavy vectors
Vector Boson Fusion production of heavy vectors
Heavy Vectors Signals
R1,2
Drell Yan Production
q
q̄!
R1,2
Drell-Yan
1
10
10 2
10 3
10 4
500 1000 1500 2000
S=0.3g̃=2
Mll (GeV)Num
ber o
f eve
nts/
20 G
eV @
100
fb-1
1
10
10 2
10 3
10 4
500 1000 1500 2000
S=0.3g̃=5
Mll (GeV)Num
ber o
f eve
nts/
20 G
eV @
100
fb-1
√s = 14 TeV √s = 14 TeV
Drell-Yan
Undetectable
g̃ = 5
1
10
10 2
10 3
10 4
500 1000 1500 2000
S=0.3g̃=2!s=10 TeV
Mll (GeV)Num
ber o
f eve
nts/
20 G
eV @
10
fb-1
DY visible at small due to large mixing with W/Z
At small we observe near Vector-Axial degeneracy
Stronger coupling of the technirho to fermions.
Drell-Yan
10-1
1
10
10 2
500 1000 1500 2000
S=0.3g̃=2
MT3l (GeV)Nu
mbe
r of e
vent
s/20
GeV
@ 1
00 fb
-1
10-1
1
10
10 2
500 1000 1500 2000
S=0.3g̃=5
MT3l (GeV)Nu
mbe
r of e
vent
s/20
GeV
@ 1
00 fb
-1
√s = 14 TeV √s = 14 TeV
Peaks merge at large Mass because of the inversion point.
We still see a signal at large since now R decays via WZ which grows with
Vector-Axial Spectrum
MA (TeV)
Mas
s Sp
ectru
m (T
eV)
R±2,0
R±1,0 S=0.3
g̃=50.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2
2.2
0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2
Vector Resonances Branching Ratios
Mass (TeV)
BR(R
± 1)
tb
ffnl
W±Z
W±H
S=0.3g̃=5
10-6
10-5
10-4
10-3
10-2
10-1
1
0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2
Mass (TeV)
BR(R
0 1)
ff
ll
W+W-
ZH
S=0.3g̃=5
10-6
10-5
10-4
10-3
10-2
10-1
1
0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2
For light masses (Below vector/axial inversion) and large : R1 -> HV is dominant. M_H = 200 GeV.
Vector Resonances Decays
M_H = 200 GeV.
Mass (TeV)
! (G
eV)
R±2
R±1
S=0.3g̃=5
10-1
1
10
10 2
10 3
0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2
Mass (TeV)
! (G
eV)
R02
R01
S=0.3g̃=5
10-1
1
10
10 2
10 3
0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2
pp! HV
MA
!(p
p "
H W
+ ) (pb
)
MH=200 GeV, S=0.3, g̃=5#s=14 TeV#s=10 TeV
10-3
10-2
10-1
1
600 800 1000 1200 1400
MA
!(p
p "
H W
+ ) (pb
)
MH=400 GeV, S=0.3, g̃=5#s=14 TeV#s=10 TeV
10-3
10-2
10-1
1
600 800 1000 1200 1400
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