1. SUSY can affect scattering Parity-Violating electron scattering “Weak Charge” ~ 1 - 4 sin 2  W ~ 0.1

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

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

4. Weak Mixing Angle: Scale Dependence sin 2  W  (GeV) SLAC E158 (ee)JLab Q-Weak (ep) e + e - LEP, SLD Atomic PV N deep inelastic Czarnecki, Marciano Erler, Kurylov, MR-M

5. PV Electron Scattering SLACJefferson Lab Vernon W. Hughes 1921-2003

6. PV Electron Scattering SLACJefferson Lab

7. Interpretation of precision measurements How well do we now the SM predictions? Some QCD issues Proton Weak Charge Weak charge Q 2 =0.03 (GeV/c) 2 Form factors: MIT, JLab, Mainz Q 2 >0.1 (GeV/c) 2

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

9. Q W and SUSY Radiative Corrections Tree Level Radiative Corrections sin 2 Flavor-independent Normalization Scale-dependence of weak mixing Flavor-dependent

10. Universal corrections muon decay gauge boson propagators

11. Oblique Parameters SM fit only No SUSY effects

12. Parameter Space Scan

13. Comparing Q w e and Q W p SUSY loops 3000 randomly chosen SUSY parameters but effects are correlated Effects in sin 2  W dominate Negligible SUSY loop impact on cesium weak charge 105 parameters: random scan Kurylov, Su, MR-M

14. Correlated Radiative Corrections total

15. RPV Corrections to Weak Charges sin 2 shift in

16. Other constraints, cont’d. MWMW CKM Unitarity APV  l2

17. Comparing Q w e and Q W p SUSY loops   -> e  + e  SUSY dark matter is Majorana RPV 95% CL fit to weak decays, M W, etc. Kurylov, Su, MR-M

18. Comparing Q w e and Q W 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.

19. Comparing Q w e and Q W p Erler, Kurylov, R-M Q W P = 0.0716Q W e = 0.0449 Experiment SUSY Loops E 6 Z / boson RPV SUSY Leptoquarks SM

20. sin 2  W  (GeV) SLAC E158 (ee)JLab Q-Weak (ep) e + e - LEP, SLD Atomic PV N deep inelastic Additional PV electron scattering ideas DIS-Parity, JLab Moller, JLab DIS-Parity, SLAC Czarnecki, Marciano Erler et al. Linear Collider e - e -

21. sin 2  W  (GeV) SLAC E158 (ee)JLab Q-Weak (ep) e + e - LEP, SLD Atomic PV N deep inelastic Additional PV electron scattering ideas DIS-Parity, JLab Moller, JLab DIS-Parity, SLAC Czarnecki, Marciano Erler et al. Linear Collider e - e -

22. Neutrino-nucleus deep inelastic scattering conflicts with SUSY Cross section ratiosExp’t vs. SM Theory: NuTeV

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

24.  Nucleus DIS: NuTeV K. McFarland, Rochester

25. NuTeV-SM Discrepancy Paschos-Wolfenstein Relation

26. - Nucleus DIS: SUSY Loop Corrections wrong sign NuTeV Kurylov, SU, MR-M

27. RPV Effects unconstrained elsewhere

28. - Nucleus DIS: RPV Effects wrong sign NuTeV Kurylov, SU, MR-M

29.  N scattering conflicts with SUSY sin 2  W  (GeV) SLAC E158 (ee)JLab Q-Weak (ep) e + e - LEP, SLD Atomic PV N deep inelastic Czarnecki, Marciano Erler, Kurylov, MR-M Increase V us for CKM unitarity (BNL E865, K e3 )

30. NuTeV Anomaly: An explanation?

31. 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

32. 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 SM: CKM

33. 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 SM: Strong CP Gluons: systems with quarks

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

35. Electric dipole moment (EDM) searches may test new CP-violation f d SM d exp d future CKM Superfluid He UCN converter with high E-field E in t Pb + O–O– E ext Yale DeMille, Romalis

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

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

38. Electric dipole moment (EDM) searches may test new CP-violation f d SM d exp d future CKM Washington Princeton Argonne…

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

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

41. Electric dipole moment (EDM) searches may test SUSY CP-violation Weak Scale Baryogenesis B violation C & CP violation Nonequilibrium dynamics Sakharov, 1967 Present universeEarly universe Weak scalePlanck scale

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

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

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