Particle Scattering Single Dipole scattering ( ‘ tiny ’ particles)
SUSY can affect scattering - Brookhaven National · PDF fileSUSY can affect scattering...
Transcript of SUSY can affect scattering - Brookhaven National · PDF fileSUSY can affect scattering...
SUSY can affect scatteringParity-Violating electron scattering
ALR =GFQ2
4 2παQW + F(Q2,θ)[ ]
r e −
e−
e−, p
e−, pZ 0
r e −
e−
e−, p
e−, pγ
“Weak Charge” ~ 1 - 4 sin2 θW ~ 0.1
SUSY can affect scattering
Neutrino-nucleus deep inelastic scattering
ν µ
ν µ
N
XZ 0
ν µ
µ−
N
XW +
R−
= 1− 2sin2
θW( ) 2Cross section ratios
Neutral currents mix
JµZ = Jµ
0 + 4 Q sin2θWJµ
EM
sin2 θW =g(µ)Y
2
g(µ)2 + g(µ)Y2
SU(2)LU(1)Y
Weak mixing depends on scale
Weak Mixing Angle: Scale Dependence
sin2θW
µ (GeV)
SLAC E158 (ee) JLab Q-Weak (ep)
e+e- LEP, SLD
Atomic PV νN deep inelastic
Czarnecki, Marciano Erler, Kurylov, MR-M
Interpretation of precision measurementsHow well do we now the SM predictions? Some QCD issues
Proton Weak Charge
ALR =GFQ
2
4 2παQW
p + Fp(Q2,θ)[ ]
Weak charge
Q2=0.03 (GeV/c)2
Form factors: MIT, JLab, Mainz
Q2>0.1 (GeV/c)2
Interpretation of precision measurementsHow well do we now the SM predictions? Some QCD issues
Proton Weak Charge
FP(Q2, θ -> 0) ~ Q2
Use χPT to extrapolate in small Q2
domain and current PV experiments to determine LEC’s
ALR =GFQ
2
4 2παQW
p + Fp(Q2,θ)[ ]
QW and SUSY Radiative Corrections
Tree Level
QWf = gV
f
Radiative Corrections
QWf = ρPV (2I3
f − 4Qfκ PV ) + λ fsin2 θW
Flavor-independent
Normalization Scale-dependence of weak mixing
Flavor-dependent
Universal corrections
δρPV = ˆ α T − ˆ δ VBµ
δκPVSUSY=−ˆ α
ˆ c 2
ˆ c 2 −ˆ s 2⎛ ⎝ ⎜ ⎞
⎠ T+ ˆ α
1
4ˆ s 2(ˆ c 2 −ˆ s 2)
⎛ ⎝ ⎜ ⎞
⎠ S
+ˆ c ˆ s
ˆ Π Zγ (q2)
q2 −ˆ Π Zγ (MZ
2)
MZ2
⎡
⎣ ⎢
⎤
⎦ ⎥ +
ˆ c 2
ˆ c 2 − ˆ s 2⎛ ⎝ ⎜ ⎞
⎠ ∆ˆ α ˆ α
−ˆ Π γγ(MZ
2)
MZ2
⎡
⎣ ⎢
⎤
⎦ ⎥ +
ˆ δ VBµ
muon decay
S,T , ˆ Π VV ' gauge boson propagators
Comparing Qwe and QW
p
SUSY loops
QuickTime™ and a TIFF (Uncompressed) decompressor are needed to see this picture.
SUSY loops
3000 randomly chosen SUSY parameters but effects are correlatedEffects in sin2θW dominate Negligible SUSY
loop impact on cesium weak charge
Z 0 γ
˜ χ +
˜ χ −105 parameters: random scan
Kurylov, Su, MR-M
RPV Corrections to Weak Charges
∆QWp
QWp ≈
2
1 − 4 ˆ s 2⎛ ⎝
⎞ ⎠ −2λ ˆ s ∆12k (˜ e R
k) + 2∆11k/ ( ˜ d R
k ) − ∆1 j1/ ( ˜ q L
j )[ ]
∆QWe
QWe ≈ −
4
1− 4 ˆ s 2⎛ ⎝
⎞ ⎠ λ ˆ s ∆12 k (˜ e R
k )sin2θWshift in
λˆ s ≈ˆ s 2(1− ˆ s 2)
1−2ˆ s 2
Comparing Qwe and QW
p
QuickTime™ and a TIFF (Uncompressed) decompressor are needed to see this picture.
SUSY loops
χ0 ->eµ+νe
Νο SUSY dark matter
ν is Majorana
RPV 95% CL fit to weak decays, MW, etc.
Kurylov, Su, MR-M
Comparing Qwe and QW
p
Can be a diagnostic tool to determine whether or not
• the early Universe was supersymmetric
• there is supersymmetric dark matter
The weak charges can serve a similar diagnostic purpose for other models for high energy symmetries, such as left-right symmetry, grand unified theories with extra U(1) groups, etc.
Comparing Qwe and QW
p
Erler, Kurylov, R-M
QWP = 0.0716 QW
e = 0.0449
Experiment
SUSY Loops
E6 Z/ boson
RPV SUSY
Leptoquarks
SM SM
± 0.0029 ± 0.0040
sin2θW
µ (GeV)
SLAC E158 (ee) JLab Q-Weak (ep)
e+e- LEP, SLD
Atomic PV νN deep inelastic
Additional PV electron scattering ideas
DIS-Parity, JLab
Moller, JLab
DIS-Parity, SLAC
Czarnecki, Marciano Erler et al. Linear
Collider e-e-
sin2θW
µ (GeV)
SLAC E158 (ee) JLab Q-Weak (ep)
e+e- LEP, SLD
Atomic PV νN deep inelastic
Additional PV electron scattering ideas
DIS-Parity, JLab
Moller, JLab
DIS-Parity, SLAC
Czarnecki, Marciano Erler et al. Linear
Collider e-e-
Neutrino-nucleus deep inelastic scattering conflicts with SUSY
Cross section ratios
Rν =σνNNCσνN
CC
Rν =σν NNCσν N
CC
Exp’t vs. SM Theory: NuTeV
Rνexp−Rν
SM=−0.0033±0.000
Rν exp−Rν
SM=−0.0019±0.001
r = σνNCC σν N
CC
R− =
Rν −rRν
1−r=(1−2sin2θW)/2+L
ν-Nucleus DIS, Cont’d.
Cross section ratios
Rν=σνNNCσνN
CC=gL2+rgR
2
Rν =σν NNCσν N
CC=gL2 +r−1gR
2
gL,R2 =
ρνNNC
ρνNCC
⎛
⎝ ⎜ ⎞
⎠ ⎟
2
(εL ,Rq
q∑ )2
r = σνNCC σν N
CC
Radiative corrections
ε Lq = IL
3 − Qqκ ν sin2θW + λ Lq
ε Lq = −Qqκ ν sin2θW + λ R
q
δρNC,CC
δκνλL,R
NuTeV-SM Discrepancy
Paschos-Wolfenstein Relation
Rνexp−Rν
SM=−0.0033±0.000
Rν exp−Rν
SM=−0.0019±0.001
R− =
Rν −rRν
1−r=(1−2sin2θW)/2+L
RPV Effects
δρνNNC = ∆12k(˜ e R
k)
δρνNCC =∆12k(˜ e R
k)+∆21k/ (˜ d R
k)
δεLd =
1
3λˆ s ∆12k(˜ e R
k) −∆21k/ (˜ d R
k)
δεRd =
1
3λˆ s ∆12k(˜ e R
k) −∆2k1/ (˜ d L
k)
δεLu =δεR
u =−2
3λˆ s ∆12k(˜ e R
k)
unconstrained elsewhere
νN scattering conflicts with SUSY
sin2θW
µ (GeV)
SLAC E158 (ee) JLab Q-Weak (ep)
e+e- LEP, SLD
Atomic PV νN deep inelastic
Czarnecki, Marciano Erler, Kurylov, MR-M
Increase Vus for CKM unitarity (BNL E865, Ke3)
Electric dipole moment (EDM) searches may test SUSY CP-violation
r E
r d = d
r S
ν EDM = −
dr S ⋅
r E
hT-odd , CP-odd by CPT theorem
C: e- $ e+ P: E $-E, S $ S
Electric dipole moment (EDM) searches may test SUSY CP-violation
r E
r d = d
r S
ν EDM = −
dr S ⋅
r E
hT-odd , CP-odd by CPT theorem
C: e- $ e+ P: E $-E, S $ S
u c t( )Vud Vus Vub
Vcd Vcs Vcb
Vtd Vts Vtb
⎛
⎝
⎜ ⎜ ⎜
⎞
⎠
⎟ ⎟ ⎟
d
s
b
⎛
⎝
⎜ ⎜ ⎜
⎞
⎠
⎟ ⎟ ⎟
SM: CKM
θ1, θ2, θ3, eiδ
Electric dipole moment (EDM) searches may test SUSY CP-violation
r E
r d = d
r S
ν EDM = −
dr S ⋅
r E
hT-odd , CP-odd by CPT theorem
C: e- $ e+ P: E $-E, S $ S
SM: Strong CP
LStrongCP =θQCD
αs
8πGµν ˜ G µν
Gluons: systems with quarks
Electric dipole moment (EDM) searches may test SUSY CP-violation
f dSM dexp dfuture
e−
n199Hg
µ
< 10−40
< 10−30
< 10−33
< 10−28
< 1.6 ×10−27
< 6.3×10−26
< 2.1×10−28
< 1.1×10−18
→ 10−31
→ 10−29
→ 10−32
→ 10−24
If SUSY CP violation is responsible for abundance of matter, will these experiments see an EDM?
CKM
Electric dipole moment (EDM) searches may test new CP-violation
f dSM dexp dfuture
e−
n199Hg
µ
< 10−40
< 10−30
< 10−25
< 10−28
< 1.6 ×10−27
< 6.3×10−26
< 2.1×10−28
< 1.1×10−18
→ 10−31
→ 10−29
→ 10−32
→ 10−24
CKM
Superfluid He UCN converter
with high E-field Eint
Pb+
O–
Eext Yale
DeMille, Romalis
Electric dipole moment (EDM) searches may test new CP-violation
f dSM dexp dfuture
e−
n199Hg
µ
< 10−40
< 10−30
< 10−25
< 10−28
< 1.6 ×10−27
< 6.3×10−26
< 2.1×10−28
< 1.1×10−18
→ 10−31
→ 10−29
→ 10−32
→ 10−24
CKM
1: B from E
Sample magnetization M ∝ deE/T
E
2: E from B
BV
Sample voltageV ∝ de
LANL
Amherst
Electric dipole moment (EDM) searches may test new CP-violation
f dSM dexp dfuture
e−
n199Hg
µ
< 10−40
< 10−30
< 10−25
< 10−28
< 1.6 ×10−27
< 6.3×10−26
< 2.1×10−28
< 1.1×10−18
→ 10−31
→ 10−29
→ 10−32
→ 10−24
CKM
LANSCE!SNS
Superfluid He UCN converter
with high E-field
Electric dipole moment (EDM) searches may test new CP-violation
f dSM dexp dfuture
e−
n199Hg
µ
< 10−40
< 10−30
< 10−25
< 10−28
< 1.6 ×10−27
< 6.3×10−26
< 2.1×10−28
< 1.1×10−18
→ 10−31
→ 10−29
→ 10−32
→ 10−24
CKM
Washington
Princeton
Argonne…
Electric dipole moment (EDM) searches may test new CP-violation
f dSM dexp dfuture
e−
n199Hg
µ
< 10−40
< 10−30
< 10−25
< 10−28
< 1.6 ×10−27
< 6.3×10−26
< 2.1×10−28
< 1.1×10−18
→ 10−31
→ 10−29
→ 10−32
→ 10−24
CKM
Storage ring:
BNL
JPARC…Also deuteron
Present n-EDM limit
Proposed n-EDM limit
“n-EDM has killed more theories than any other single experiment”B. Filippone
Matter-AntimatterAsymmetry in the Universe
Better theory
Electric dipole moment (EDM) searches may test SUSY CP-violation
Weak Scale Baryogenesis
• B violation
• C & CP violation
• Nonequilibrium dynamics
Sakharov, 1967
Present universe Early universe
Weak scale Planck scale
log10 (µ / µ0 )
αS−1
αL−1
αY−1
Electric dipole moment (EDM) searches may test SUSY CP-violation
Weak Scale Baryogenesis
• B violation
• C & CP violation
• Nonequilibrium dynamics
Sakharov, 1967
˜ t H
Unbroken phase
Broken phaseCP Violation
Topological transitions
1st order phase transition
γ˜ e
e−
˜ e
χ 0
EDM: Standard SUSY - breaking
Cohen, Kaplan, NelsonHuet & NelsonRiotto…..
Electric dipole moment (EDM) searches may test SUSY CP-violation
Weak Scale Baryogenesis
• B violation
• C & CP violation
• Nonequilibrium dynamics
Sakharov, 1967
˜ t H
Unbroken phase
Broken phaseCP Violation
Topological transitions
1st order phase transition
γ˜ e
e−
˜ e
χ 0• How model-dependent ?
• Theoretical uncertainties?