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This workshop paper discusses the CP asymmetry in the B system and presents numerical results, examining the effects of new physics.
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NEW PHYSICS PHASE FROM CHARGINO IOWA STATE UNIVERITY YILI WANG SUPER B FACTORY WORKSHOP IN HAWAII JANUARY 19-22,2004
CP Asymmetry in B system. • New Phase From Chargino. • Numerical Results. • Summary and Conclusion. Y. Wang, hep-ph/0309290, to be published in PRD. Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004
CP Asymmetries in B System In Standard Model: A single phase in CKM matrix All of CP asymmetries in B system Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004
CKM matrix is unitary Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004
Definition: Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004
are mixing parameters. Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004
Two CP Violation Sources: (a) Mixing (b) Decay amplitude Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004
In Standard model Browder@LP03 Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004
SM prediction: CP comes from mixing in very good agreement with SM. Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004
CP Asymmetries in B K In SM, No tree level diagrams. Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004
CP comes from mixing. Decay Amplitude: Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004
Measurement: ~2σ deviation with SM prediction. Need new physics. Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004
SM dominate tree level diagrams. New physics enter only at one loop level. Both SM and New physics are at one loop. Possible new physics change only SUSY is significant candidate. Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004
New Phase From Chargino SUSY in CP Asymmetry • Gluino loop • Chargino loop • Neutralino loop. Neutralino loop can be ignored. Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004
ignored Box Penguin Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004
Focus on chargino loop contributions Special Frame: Down-type squark mass matrix diagonalized. No down-type intergeneration mixing. no gluino loop contributions. Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004
Chargino diagrams: Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004
Up squark mass matrix: Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004
diagonalized mass matrix: Define: Mass eigenstates: Gauge eigenstates: Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004
Chargino Mass Matrix: Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004
Mixing angle: Yili Wang - Super B Factory in Hawaii - 22 Jan. 2004
Wilson coefficients: Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004
Hadronic matrix: Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004
Numerical Results: Three Scenario: • Left-Left Mixing Dominant. • Right-Right Mixing Dominant. • Left-Left plus Right-Right Mixing. hep-ph/0309290, to be published in PRD Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004
Left-Left Mixing: Left-Right and Right-Right mixings are ignored. New Phase One phase and one mixing angles Parameter space: Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004
Constraints: Severe bound on mixing Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004
Large deviation from SM prediction. • large chargino influences. • special property on Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004
Assumption: 3. Left-Left + Right-Right Mixing Too many parameters. Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004
Parameter space: • Constraints: Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004
Scan Region: Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004
Conclusion • Chargino loop did give large contribution to CP asymmetry. It can compensate the 2.7σ deviation in some region. • Results depend on parameter choice. • In general, gluino loop provide large contribution. • SUSY contributions include chargino and gluino loop. Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004
Left-Left mixing : • Within constraints, large SUSY chargino contribution to CP asymmetry in Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004
2. Right-Right Mixing • Mixing matrix: • Parameter space: • Constraints:
Loop function: Yili Wang - Super B Factory in Hawaii - 22 Jan. 2004
Many assumptions in κ estimation. Yili Wang - Super B Factory in Hawaii - 22 Jan. 2004