SUSY can affect scattering ParityViolating electron scattering Weak

SUSY can affect scattering Parity-Violating electron scattering “Weak Charge” ~ 1 - 4 sin 2 W ~ 0. 1

SUSY can affect scattering Neutrino-nucleus deep inelastic scattering Cross section ratios

Neutral currents mix ��J Z = ��J 0 ��J EM SU(2)L + 4 Q sin 2 W U(1)Y Weak mixing depends on scale

Weak Mixing Angle: Scale Dependence Czarnecki, Marciano Erler, Kurylov, MR-M Atomic PV N deep inelastic sin 2 W e+e- LEP, SLD SLAC E 158 (ee) JLab Q-Weak (ep) (Ge. V)

PV Electron Scattering SLAC Vernon W. Hughes 1921 -2003 Jefferson Lab

PV Electron Scattering SLAC Jefferson Lab

Interpretation of precision measurements How well do we now the SM predictions? Some QCD issues Proton Weak Charge Weak charge Form factors: MIT, JLab, Mainz Q 2=0. 03 (Ge. V/c)2 Q 2>0. 1 (Ge. V/c)2

Interpretation of precision measurements How well do we now the SM predictions? Some QCD issues Proton Weak Charge FP(Q 2, -> 0) ~ Q 2 Use PT to extrapolate in small Q 2 domain and current PV experiments to determine LEC’s

QW and SUSY Radiative Corrections Tree Level Flavor-dependent Radiative Corrections sin 2 Normalization Scale-dependence of weak mixing Flavor-independent

Universal corrections muon decay gauge boson propagators

Oblique Parameters SM fit only No SUSY effects

Parameter Space Scan

Comparing Qwe and QWp 105 parameters: random scan SUSY loops 3000 randomly chosen SUSY parameters but effects are correlated Effects in sin 2 W dominate Kurylov, Su, MR-M Negligible SUSY loop impact on cesium weak charge

Correlated Radiative Corrections total

RPV Corrections to Weak Charges shift in sin 2

Other constraints, cont’d. MW CKM Unitarity APV l 2

Comparing Qwe and QWp SUSY loops SUSY dark matter -> e + e is Majorana RPV 95% CL fit to weak decays, MW, etc. Kurylov, Su, MR-M

Comparing Qwe and QWp 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 QWp QWP = 0. 0716 QWe = 0. 0449 Experiment SUSY Loops E 6 Z/ boson RPV SUSY Leptoquarks SM SM Erler, Kurylov, R-M

Additional PV electron scattering ideas Czarnecki, Marciano Erler et al. Atomic PV N deep inelastic DIS-Parity, JLab Linear Collider e-e- DIS-Parity, SLAC sin 2 W e+e- LEP, SLD SLAC E 158 (ee) Moller, JLab Q-Weak (ep) (Ge. V)

Additional PV electron scattering ideas Czarnecki, Marciano Erler et al. Atomic PV N deep inelastic DIS-Parity, JLab Linear Collider e-e- DIS-Parity, SLAC sin 2 W e+e- LEP, SLD SLAC E 158 (ee) Moller, JLab Q-Weak (ep) (Ge. V)

Neutrino-nucleus deep inelastic scattering conflicts with SUSY Cross section ratios Exp’t vs. SM Theory: Nu. Te. V

-Nucleus DIS, Cont’d. Cross section ratios Radiative corrections sin 2 NC, CC L, R

-Nucleus DIS: Nu. Te. V K. Mc. Farland, Rochester

Nu. Te. V-SM Discrepancy Paschos-Wolfenstein Relation

-Nucleus DIS: SUSY Loop Corrections wrong sign Nu. Te. V Kurylov, SU, MR-M

RPV Effects unconstrained elsewhere

-Nucleus DIS: RPV Effects wrong sign Nu. Te. V Kurylov, SU, MR-M

N scattering conflicts with SUSY Czarnecki, Marciano Erler, Kurylov, MR-M Atomic PV N deep inelastic Increase Vus for CKM unitarity (BNL E 865, Ke 3) sin 2 W e+e- LEP, SLD SLAC E 158 (ee) JLab Q-Weak (ep) (Ge. V)

Nu. Te. V Anomaly: An explanation?

Electric dipole moment (EDM) searches may test SUSY CP-violation T-odd , CP-odd by CPT theorem C: e- $ e+ P: E $-E, S $ S

Electric dipole moment (EDM) searches may test SUSY CP-violation SM: CKM C: e- $ e+ P: E $-E, S $ S T-odd , CP-odd by CPT theorem

Electric dipole moment (EDM) searches may test SUSY CP-violation SM: Strong CP Gluons: systems with quarks C: e- $ e+ P: E $-E, S $ S T-odd , CP-odd by CPT theorem

Electric dipole moment (EDM) searches may test SUSY CP-violation CKM f d. SM dexp dfuture If SUSY CP violation is responsible for abundance of matter, will these experiments see an EDM?

Electric dipole moment (EDM) searches may test new CP-violation De. Mille, Romalis CKM f d. SM Eext Pb+ Ein O– t dexp dfuture Yale Superfluid He UCN converter with high E-field

Electric dipole moment (EDM) searches may test new CP-violation CKM f d. SM 1: B from E dexp 2: E from B LANL V E Sample magnetization M de. E/T dfuture Amherst B Sample voltage V de

Electric dipole moment (EDM) searches may test new CP-violation CKM f d. SM dexp dfuture LANSCE!SNS Superfluid He UCN converter with high E-field

Electric dipole moment (EDM) searches may test new CP-violation CKM f d. SM dexp dfuture Washingto n Princeton Argonne…

Electric dipole moment (EDM) searches may test new CP-violation CKM f d. SM dexp dfuture Storage ring: BNL JPARC… Also deuteron

Present n-EDM limit Proposed n-EDM limit Matter-Antimatter Asymmetry in the Universe Better theory B. Filippone “n-EDM has killed more theories than any other single experiment”

Electric dipole moment (EDM) searches may test SUSY CP-violation Present universe Early universe Weak Scale Baryogenesis • B violation • C & CP violation • Nonequilibrium dynamics Sakharov, 1967 Weak scale Planck scale

Electric dipole moment (EDM) searches may test SUSY CP-violation Weak Scale Baryogenesis • B violation Unbroken phase Cohen, Kaplan, Nelson Huet & Nelson Riotto…. . Topological transitions • C & CP violation • Nonequilibrium dynamics Broken phase 1 st order phase transition Sakharov, 1967 EDM: Standard SUSY - breaking CP Violation

Electric dipole moment (EDM) searches may test SUSY CP-violation Weak Scale Baryogenesis • B violation Unbroken phase Topological transitions • C & CP violation • Nonequilibrium dynamics Broken phase 1 st order phase transition Sakharov, 1967 • How model-dependent ? • Theoretical uncertainties? CP Violation

Present n-EDM limit Proposed n-EDM limit ? Matter-Antimatter Asymmetry in the Universe Better theory B. Filippone “n-EDM has killed more theories than any other single experiment”