Testing lopsided SO10 structure in bs transitions Yingchuan

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

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

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

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. 4

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

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. 6

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

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 Very different! Large mixing of LH charged leptons 8

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

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

How to differentiate the models with lopsided structure from others? • The most essential character of lopsided models: Large left-handed neutrino mixing in the 2 -3 sector One mixing angle of the PMNS; Observed in atmospheric neutrino oscillation; Large right-handed quark mixing in the 2 -3 sector 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) 11

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

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. 13

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: 14

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: 15

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

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; • The specific pattern of and predictions can be used to further test the lopsided structure by more precise experiments in the future; Thank you !!! 17