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    EDMs, the LHC, and theOrigin of Matter

    M.J. Ramsey-Musolf

    Wisconsin-MadisonQuickTime and aTIFF (Uncomp ressed) decompresso

    are needed to see this pic ture.

    http://www.physics.wisc.edu/groups/particle-theory/

    NPACTheoretical Nuclear, Particle, Astrophysics & Cosmology

    NC State Seminar, March 2009

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    What is the origin of baryonic matter ?

    Cosmic Energy Budget

    Baryons

    Dark Matter

    Dark Energy

    Explaining non-zerorBrequires CP-violationand a scalar sector beyond those of the

    Standard Model(assuming inflation setrB=0)

    What are the implications of Higgs searchesat LHC and Higgs studies at ILC for

    explaining the baryon asymmetry ?

    What are thequantitativeimplications of newEDM experiments for explaining the origin of

    the baryonic component of the Universe ?

    Leptogenesis: discoverthe ingredients:LN- & CP-violation in neutrinos

    Weak scale baryogenesis:test experimentally:EDMs& Higgs Boson Searches

    D. Chung Wisconsin

    V. Cirigliano LANLB. Garbrecht Wisconsin

    C. Lee LBL

    Y. Li Wisconsin

    S. Profumo UC Santa Cruz

    S. Tulin Caltech

    G. Shaugnessy Wisconsin

    PRD 71: 075010 (2005)PRD 73: 115009 (2006)JHEP 0607:002 (2006 )PRD 78:075009 (2008)PRL 102:061301 (2009)

    PLB 673: 95 (2009)

    Baryogenesis & EDMs Higgs Phenomenology

    PRD 75: 037701 (2007)JHEP 0807:010

    (2007) PRD 77: 035005(2008) PRD79: 015018 (2009)

    V. Barger Wisconsin

    P. Langacker IASM. McCaskey Wisconsin

    D. OConnell IAS

    S. Profumo UC Santa Cruz

    G. Shaugnessy ANL/Northwestern

    M. Wise Caltech

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    Outline

    I. Baryogenesis: General Features

    II. Preview of main results

    III. Computing YBsystematically:progress & challenges

    IV. Illustrative phenomenology inMSSM: EDMs & the LHC

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    I. Baryogenesis: General Features

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    Baryogenesis: Ingredients

    Anomalous B-violating processes

    Prevent washout by inverse processes

    Sakharov Criteria

    B violation

    C & CP violation

    Nonequilibriumdynamics

    Sakharov, 1967

    SM Sphalerons:

    SM CKM CPV:

    SM EWPT:

    EDMs

    LHC: Scalars

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    EW Baryogenesis: Standard Model

    Weak Scale Baryogenesis

    B violation

    C & CP violation

    Nonequilibriumdynamics

    Sakharov, 1967

    Anomalous Processes

    Different vacua: D(B+L)= DNCS

    A

    Kuzmin, Rubakov, ShaposhnikovMcLerran,

    Sphaleron Transitions

    W

    W

    J

    B

    qL

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    EW Baryogenesis: Standard Model

    Weak Scale Baryogenesis

    B violation

    C & CP violation

    Nonequilibriumdynamics

    Sakharov, 1967

    mt4

    MW4

    mb4

    MW4

    mc2

    MW2

    ms2

    MW2 31013

    Js12s13s23c12c132 c23sin13

    (2.88 0.33) 105

    F

    F

    Increasing mh

    1st order 2nd order

    CP-violation too weak

    No EWPT

    Shaposhnikov

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    Baryogenesis: New Electroweak Physics

    Weak Scale Baryogenesis

    B violation

    C & CP violation

    Nonequilibrium

    dynamics

    Sakharov, 1967

    ne

    (x)

    Unbroken phase

    Broken phaseCP Violation

    Topological transitions

    1st order phase transition

    e

    ne

    ne

    ne

    g

    g

    e

    e

    Z0

    Z0

    Is it viable?

    Can experiment constrain it?

    How reliably can we compute it?

    Quantum Transport

    CPV

    Chem Eq

    R-M et al

    Is it viable?

    Can experiment constrain it?

    How reliably can we compute it?

    Theoretical Issues:Strength of phase transition (Higgs

    sector) Bubble dynamics (numerical)

    Transport at phase boundary (non-eq QFT)

    EDMs: many-body physics & QCD

    Systematic baryogenesis: SD

    equations + power counting

    Veff(,T):Requirements on Higgssector extensions & exptl probes

    EDM sensitivity to CPVphases relevant for EWB:leptonic, hadronic, & nuclear

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    EDMs: New CPV?

    SM backgroundwell below newCPV expectations

    New expts: 102to103more sensitive

    CPV needed forBAU?

    CKM

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    Baryogenesis: EDMs & Colliders

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    Cosmology LHC

    EDMs

    Theory

    Theory

    Implications

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    EDMs & EWB: What We May Learn

    Present n-EDM limitProposed n-EDM limit

    ?

    Matter-AntimatterAsymmetry inthe Universe

    Better theory ?New theory ?Leptogenesis ?

    n-EDM has killedmore theories than

    any othersingleexperiment

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    II. Preview: Main Results

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    MSSM Baryogenesis: EDMs & LHC

    Resonant EWB

    Present de

    LEP II excl

    LHC reach

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    Prospective dn

    Cirigliano, Profumo, R-M

    +-driven EWB

    0-driven EWB

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    Probing the CPV Phase Structure

    Arg(M1b*) = Arg(M2b

    *)/

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    Res EWB notcompatible with dn

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    Res & non-res

    EWB compatiblewith future dn

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    Li, Profumo, Ramsey-Musolf

    Compatible with

    observed YB

    New 2-loop EDM calc

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    YB& Particle Spectrum: LHC & g-2

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    are needed to s ee this picture.

    Chung,Garbrecht, Ramsey-Musolf, Tulin

    Small tan

    Large tan

    YBdependence on third generation

    sparticle masses & tan

    Magnitude & sign of YBsensitive to third generationsfermion spectrum for given CPV phase

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    III. Computing YB

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    Systematic Baryogenesis

    Goal:Derive dependence of YB

    on parametersLnewsystematically (controlled approximations)

    Parameters inLnewBubble & PT

    dynamics

    CPV phases

    Departure from equilibrium

    Earliest work: QM scattering & stat mech

    New developments: non-equilibrium QFT

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    Systematic Baryogenesis

    Unbroken phase

    Topological transitions

    Broken phase

    1st order phase transition

    (x)

    rBt

    D2rB WSFWS(x) nL (x)RrB

    FWS(x) ->0 deep inside bubble

    nL produced in wall& diffuses in front

    Cohen, Kaplan,

    NelsonJoyce, Prokopec,Turok

    snow

    W W

    JB

    qL

    nL produced on short timescale compared to WS nL to

    rBconversion

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    Quantum Transport & Baryogenesis

    Particle Propagation: Beyond familiar (Peskin) QFT

    0IN

    0OUT

    LI

    Assumptions: 1. Evolution is adiabatic2. Spectrum is non-degenerate

    3. Density is zero

    ne

    (x)

    Electroweak Baryogenesis 1. Evolution is non-adiabatic:vwall> 0 -> decoherence

    2. Spectrum is degenerate:

    T > 0 -> Quasiparticles mix3. Density is non-zero

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    Quantum Transport & Baryogenesis

    ne

    (x)

    Electroweak Baryogenesis 1. Evolution is non-adiabatic:

    vwall> 0 -> decoherence

    2. Spectrum is degenerate:

    T > 0 -> Quasiparticles mix3. Density is non-zero

    Scale Hierarchy:

    Fast, but not too fast

    Hot, but not too hot

    Dense, but not too dense

    d=vw(k /w)

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    Quantum Transport Equations

    = + +

    G

    G0

    +

    G0

    G0

    Expandind,p,

    Currents

    CP violating

    sourcesLinks CP violation in Higgs

    and baryon sectors

    Chiral

    Relaxation

    Strongsphalerons

    Producing nL = 0

    SCPV

    M, H , Y, SS

    Xj(X) d

    3z dz0 (X,z)G(z,X) G(X,z) (z,X)

    X0ApproximationsNeglect O(3) terms

    Others under scrutiny

    R-M, Chung, Tulin,

    Garbrecht, Lee,Cirigliano

    From S-D Equations:SCPV

    M, H, Y

    Riotto, Carena et al, R-M et al,Konstandin et al

    R-M et al

    Objectives:

    Determine param dep of SCPVand alls and not just that of SCPV

    Develop general methods for anymodel with new CPV

    Quantify theor uncertainties

    Y>> other rates? (No)

    Majorana fermions ?

    (densities decouple) Particle-sparticle eq?

    Vev resummation ?

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    Our Work Applied to MSSM

    Resonant enhancements in chiralrelaxation offsets resonant CPV

    Three-body contributions enhance

    Yukawa rates Large tan (g-2) regime quenches

    YBand introduces strongdependence on SUSY spectrum

    EDM constraints imply non-universalgaugino phases

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    Illustrative Study: MSSM

    Neutralino Mass Matrix

    M1

    -M2

    -mZ cossinqW mZ coscosqWmZ sinsinqW -mZ sinsinqW 0

    0

    00

    --mZ cossinqW mZ coscosqWmZ sinsinqW -mZ sinsinqWMN =

    Chargino Mass Matrix

    M2

    MC =

    cos2mW

    sin2mW T

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    Baryon Number: MSSM

    YB rBs

    F1 sin F2 sin( A )

    F1S

    H

    CPV

    WS

    diff

    F2St

    CPV

    WS

    diff

    Higgsinos SquarksImpt to computeboth num and denconsistently

    F2: EWPO imply

    suppression

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    Resonant CPV & Relaxation

    SH

    R

    (GeV)

    (GeV)

    MW

    Huet &Nelson

    MW

    CP violation Relaxation

    F1S

    H

    CPV

    WS

    diff

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    Baryon Number & Y

    Cirigliano, Lee, R-M, Tulin

    gH

    tLtLtR

    Joyce, Prokopec, Turok

    YB rBs

    F1 sin F2 sin( A )

    YB rB

    sF1 sin F2 sin( A )

    ourY

    previous Y

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    Baryogenesis: tan effectsTransport, Spectrum, & EDMs

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    Canceling t,b (s)quarkcontributions

    Enhanced light staucontributions

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    Small tan:nleft=5Q+4T

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    + SUSYChung,Garbrecht, R-M, Tulin: PRL 102:061301 (2009)

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    Small tannegligible Yb,

    effectstan=20: impt Yb,

    effectsSmall tan: strong sphaleronsinduce 1st& 2ndgen quarkcontributions to counteract 3rdgeneration chiral asymmetry

    Large tan: 3rdgeneration chiralasymmetry vanishes: no strongsphaleron-induced 1st& 2ndgenquark contributions

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    IV. Phenomenology: EDMs, LHC, & YB

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    EDMs: Complementary Searches

    f

    0

    f

    f

    g

    q

    0

    q

    q

    ElectronImprovementsof 102 to 103

    Neutron

    f

    0

    f

    f

    Neutral

    Atoms

    g

    q

    0

    q

    q

    Deuteron

    g

    q

    0

    q

    q

    N

    e

    QCD

    QCD

    QCD

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    EDMs: Theory

    g

    q

    0

    q

    q

    f

    0

    f

    f

    ElectronImprovementsof 102 to 103

    Neutron

    f

    0

    f

    f

    Neutral

    Atoms

    g

    q

    0

    q

    q

    Deuteron

    g

    q

    0

    q

    q

    N

    e

    QCD

    QCD

    QCD

    n

    p

    Nuclear Schiff Moment

    Nuclear EDM:Screened in atoms

    Neutron EDM from LQCD:

    Two approaches:

    Expand inq& average overtopological sectors (Blum et al,Shintani et al)

    ComputeDE for spin up/downnucleon in backgroundEfield

    (Shintani et al)

    mN=2.2 GeV

    QCD SR (Pospelov et al)

    Hadronic couplings

    Pospelov et al:

    PCAC + hadmodels & QCD SR

    ChPT for dn: van Kolck et al

    Schiff Screening

    Atomic effect fromnuclear finite size:Schiff moment

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    EDMs & Schiff Moments

    f

    0

    f

    f

    g

    q

    0

    q

    q

    One-loop

    EDM: q, l, n Chromo-EDM: q, n

    Dominant innuclei & atoms

    Engel & de Jesus:Reduced isoscalar sensitivity (qQCD)

    Schiff Moment in199Hg Nuclear & hadron structure

    Liu et al:New formulation of Schiff operator

    +

    New nuclear calcs needed

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    One Loop EDMs & Baryogenesis

    g

    q

    0

    q

    q

    f

    0

    f

    f

    ne

    (x)

    q , W, B , Hu,d

    T ~ TEW

    Resonant Non-resonantCirigliano, Lee,Tulin, R-M

    Futured

    ed

    nd

    A

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    EDMs in SUSY

    f

    0

    f

    f

    g

    q

    0

    q

    q

    One-loop

    EDM: q, l, n Chromo-EDM: q, n

    Dominant innuclei & atoms

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    EDMs in SUSY

    f

    0

    f

    f

    g

    q

    0

    q

    q

    One-loop

    EDM: q, l, n Chromo-EDM: q, n

    Dominant innuclei & atoms

    Two-loop

    EDM only: no chromo-EDM

    g

    g

    g

    Weinberg: small matrix els

    Decouple in large limit

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    EDM constraints & SUSY CPV

    AMSB: M1

    ~ 3M2

    Baryogenesis

    LEP II Exclusion

    Two loop de

    Cirigliano,

    Profumo, R-MSUGRA: M

    2

    ~ 2M1

    | sin | > 0.02

    | de, dn| > 10-28e-cm

    M < 1 TeV

    Arg(M1b*) = Arg(M2b

    *)

    +-driven EWB

    0-driven EWB

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    MSSM Baryogenesis: EDMs & LHC

    baryogenesis

    Present de

    LEP II excl

    LHC reach

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    Prospective dn

    Cirigliano, Profumo, R-M

    +-driven EWB

    0-driven EWB

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    EDMs in SUSY: Full Two-Loop

    Higgs Boson Masses

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    Li, Profumo, R-M: PRD 78:075009(2008)

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    WH Loops dominate for neutron &comparable toH, A for electron

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    mA=300 GeV, =300 GeV, M2=2M1=290 GeV

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    EDMs in SUSY: Full Two-Loop

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    Higgs Boson Masses

    Stronger limits onCPV for lightHiggses & large tan

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    Arg(M1b*) = Arg(M2b

    *)

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    Baryogenesis: EDMs & LHC

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    Higgs Boson MassesQuickTime and a

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    Stronger limits onCPV for lightHiggses & large tan

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    Examples w/ mstop= 125 GeV,mA=200 GeV:tan=15, sin=0.05; tan~5, sin=0.1

    Large tan(g-2) & universal gauginoCPVchallenging for MSSM EWB

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    EDMs & EWB: Non-universal phases

    Arg(M1b*) = Arg(M2b

    *)/

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    Weak dependence ofde, dnon Arg(M1b

    *)

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    Res EWB notcompatible with dn

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    Res & non-res

    EWB compatiblewith future dn, lightmA, & moderatetan

    Li, Profumo, R-M: PLB673:95 (2009)

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    Summary

    EWB remains a viable and testablescenario for explaining the cosmicbaryon asymmetry

    We are making progress in refining YB& EDM computations with reducedtheoretical uncertainties

    Input from EDM searches, colliderstudies, & theory needed to addressthe origin of matter problem