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Yingchuan Li

Testing lopsided SO(10) structure in b-s transitions. Yingchuan Li. University of Maryland. Ji, Li, Zhang, PRD (2007). Outline. The lopsided structure and its motivation ?. Testing SO(10) lopsided structure in b-s transition. Conclusion. Part I: What is lopsided structure and why?

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Yingchuan Li

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  1. Testing lopsided SO(10) structure in b-s transitions Yingchuan Li University of Maryland Ji, Li, Zhang, PRD (2007)

  2. Outline • The lopsided structure and its motivation ? • Testing SO(10) lopsided structure in b-s transition. • Conclusion.

  3. Part I: What is lopsided structure and why? - Neutrino oscillation in SO(10) GUT

  4. What is the lopsided structure? • Lopsided structure is an asymmetric structure in 2-3 sector • of down-type quark and charged lepton mass matrices: • The motivation of lopsided structure comes from • neutrino physics.

  5. Violate B-L What does the massive neutrino imply? • The only 5-dim. operator in terms of SM fields: Seesaw scale—B-L breaking scale GUT scale Planck scale E.W. scale Indirectly see the very high energy physics at low energy !

  6. Neutrino oscillation in SO(10) GUT • Provide necessary ingredient for neutrino oscillation • B-L is one of the generators of SO(10), which • has to be broken when SO(10) is broken to SM. Seesaw mechanism: • Quarks and leptons are unified in SO(10) GUT.

  7. CKM and PMNS matrices • Comparing CKM and PMNS matrices: • CKM: • PMNS: Significant difference between 2-3 mixings in quark and lepton sector !

  8. Why are the PMNS and CKM so different? — Lopsided structure • Lopsided structure (from ): Large mixing of RH d-quarks Small mixing of RH charged leptons Small mixing of LH d-quarks Large mixing of LH charged leptons Very different!

  9. Large prediction; • Small prediction; • Baryogenesis via leptogenesis scenario works in the • resonance region (fine-tuning?); • Baryogenesis via leptogenesis naturally realized w/o going to the • resonance region; Realistic models with lopsided structure • Solar angle is produced with simple structure of ; • Model I (Albright, Babu, and Barr, PRL (1998); Albright and Barr, PRD (1998)) • Solar angle from complicatede structure of (fine-tuning?); • Model II (Ji, Li, Mohapatra, PL (2006))

  10. Part II: Testing lopsided structure in b-s transition

  11. How to differentiate the models with lopsided structure from others? Large left-handed neutrino mixing in the 2-3 sector • The most essential character of lopsided models: Large right-handed quark mixing in the 2-3 sector One mixing angle of the PMNS; Observed in atmospheric neutrino oscillation; Not an element of CKM matrix Where is its effect? • b-s transition • Atmospheric Neutrinos Can Make Beauty Strange ? • (Harnik, Larson, Murayama, and Pierce, PRD 2004)

  12. The situation of FV and CPV in b-s sector • Many observables associated with b-s transition: Anomalies O.K. • Standard model prediction • Experimental results of • How to explain them in terms of new physics?

  13. Turn on the supersymmetry • Reasons to believe SUSY: Solve the hierarchy problem; Provide dark matter candidate…… Gauge coupling unification encourage us to believe both SUSY and GUT. • Sparticles in the loop induce F.V. and CPV. • SUSY flavor and CP problem too many parameters in SUSY; • Universality condition on the SUSY breaking scale reduce the number of parameters: • Off-diagonal terms still get generated radiatively; • The running is determined by the flavor structure • in the Yukawa coupling.

  14. Flavor violation parameters from lopsided model • The SUSY F.V. parameters relevant to b-s transition are: Large right-handed mixing For example: choosing We have:

  15. b-s transition from lopsided model — result(Ji, Li, Zhang, PRD, (2007)) • The parameter space satisfying • the and exp. bounds: • The predictions of • are: With lopsided Structure: Without lopsided Structure:

  16. Specific pattern of the predictions This is the characteristic pattern of lopsided model.

  17. The specific pattern of and predictions can • be used to further test the lopsided structure by • more precise experiments in the future; Conclusion • The conjecture that atmospheric neutrino can make • beauty strange depends exclusively on the lopsided • structure; • The lopsided structure in realistic SUSY SO(10) • models can explain the and anomalies; Thank you !!!

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