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t- EDM with polarized beams

t- EDM with polarized beams. J. Bernabéu. G. Gonzalez-Sprinberg, J. Vidal IFIC- VALENCIA. SuperB Worksoh VI January 2008 . t- EDM with polarized beams.

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t- EDM with polarized beams

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  1. t-EDM with polarized beams J. Bernabéu. G. Gonzalez-Sprinberg, J. Vidal IFIC- VALENCIA SuperB Worksoh VI January 2008 

  2. t- EDM with polarized beams telectric dipole moment can be studied in high statistics Super B factories. For polarized beams we signal new CP-odd observables and find that a sensitivity of the order of 10-19 e-cm can be obtained. OUTLINE 1. tELECTRIC DIPOLE MOMENT (EDM) 1.1 Definition 1.2 Experiments 2. OBSERVABLES 3. CONCLUSIONS

  3. 1. EDM 1.1Definition P and T-odd interaction of a fermion with gauge fields (Landau 1957): Besides, chirality flipping (insight into the mass origin) Classical electromagnetism Ordinary quantum mechanics Same H with non-relativistic limit of Dirac’s equation: CPT: CP and T are correlated

  4. 1. EDM 1.1Definition g t t EDM SM : • vertex corrections •at least 4-loops for leptons Beyond SM: •one loop effect (SUSY,2HDM,...) • dimension six effective operator

  5. 1. EDM 1.1Definition SM : VCKM V*CKM E.P.Shabalin ’78 We need 3-loops for a quark-EDM, and 4 loops for a lepton... = 0 !!!

  6. 1. EDM 1.2 Experiments BOUNDS: PDG ’06 95% CL EDM BELLE ‘02

  7. 1. EDM 1.2 Experiments Light Fermions : • Stable or with enough large lifetime • EDM : spin dynamics in electric fields Heavy Fermions: • Short living particles • Spin matrix and angular distribution of decay products in TAU-pair production may depend on the EDM

  8. 1. EDM 1.2 Experiments HOW DO WE MEASURE ELECTRIC DIPOLE MOMENTS? Totalcross sections e+e-  +- e+e- e+e- +- Partial widthsZ +-  Sensitive to many contributions Spin correlations · Linear polarizations Correlations and asymmetries observables select EDM by symmetry properties

  9. 2. Observables Tau pair production Normal polarization: and needs helicity-flip so for the Tau it is mass enhanced Genuine if J.B.,G.G.S.,J.V. Nucl. Phys B763 (2007) NORMAL POLARIZATION: T-odd P-even Vs. EDM: T-odd P-odd Polarized beams provide another P-odd source

  10. 2. Observables + - 1011-12 TAU PAIRS

  11. 2. Observables Diagrams

  12. 2. Observables + RESONANT PRODUCTION

  13. 2. Observables Normal polarization: EDM and polarized beams can produce a P-even observable

  14. Gabriel González Sprinberg, DIF06-LNF, March 2006

  15. 2. Observables For polarized beams Angular asymmetries ( ) are proportional to EDM One can also measure for and/or

  16. 2. Observables Sensitivity 1 ab = 10-18 b

  17. 3. Conclusions • Longitudinal polarization CP-odd observables at SuperB factories. • Normal Tau polarization observables and polarized beams allow strong sensitivity to the EDM. • These observables are independent from other low and high energy observables already investigated. • These bounds are 3 orders of magnitude below current limits.

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