NEW PHYSICS PHASE FROM CHARGINO YILI WANG IOWA STATE UNIVERITY SUPER B FACTORY WORKSHOP IN HAWAII JANUARY 19-22,2004.

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NEW PHYSICS PHASE FROM CHARGINO YILI WANG IOWA STATE UNIVERITY SUPER B FACTORY WORKSHOP IN HAWAII JANUARY 19-22,2004

2 Yili Wang - Super B Factory in Hawaii - 21 Jan CP Asymmetry in B system. New Phase From Chargino. Numerical Results. Summary and Conclusion. Y. Wang, hep-ph/ , to be published in PRD.

3 A single phase in CKM matrix  All of CP asymmetries in B system Yili Wang - Super B Factory in Hawaii - 21 Jan In Standard Model: CP Asymmetries in B System

4 CKM matrix is unitary Yili Wang - Super B Factory in Hawaii - 21 Jan  

5 Definition: Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004

6 are mixing parameters. Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004

7 Two CP Violation Sources: Yili Wang - Super B Factory in Hawaii - 21 Jan (a) Mixing (b) Decay amplitude

8 In Standard model Yili Wang - Super B Factory in Hawaii - 21 Jan

9 CP comes from mixing in very good agreement with SM. Yili Wang - Super B Factory in Hawaii - 21 Jan SM prediction:

10 In SM, No tree level diagrams.B  K Yili Wang - Super B Factory in Hawaii - 21 Jan CP Asymmetries in

11 Decay Amplitude: CP comes from mixing. Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004

12 Measurement: Yili Wang - Super B Factory in Hawaii - 21 Jan ~2σ deviation with SM prediction. Need new physics.

13 Yili Wang - Super B Factory in Hawaii - 21 Jan Both SM and New physics are at one loop. Possible new physics change only SUSY is significant candidate. SM dominate tree level diagrams. New physics enter only at one loop level.

14 SUSY in CP Asymmetry New Phase From Chargino 1.Gluino loop 2.Chargino loop 3.Neutralino loop. Neutralino loop can be ignored. Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004

15 Box Penguin ignored Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004

16 Focus on chargino loop contributions Special Frame: Down-type squark mass matrix diagonalized. No down-type intergeneration mixing. Yili Wang - Super B Factory in Hawaii - 21 Jan  no gluino loop contributions.

17 Yili Wang - Super B Factory in Hawaii - 21 Jan Chargino diagrams:

18 Up squark mass matrix: Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004

19 Define: Yili Wang - Super B Factory in Hawaii - 21 Jan diagonalized mass matrix: Mass eigenstates: Gauge eigenstates:

20 Chargino Mass Matrix: Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004

21 Mixing angle: Yili Wang - Super B Factory in Hawaii - 22 Jan. 2004

22 Wilson coefficients: Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004

23 Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004

24 Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004

25 Hadronic matrix: Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004

26 Numerical Results: Three Scenario: 1.Left-Left Mixing Dominant. 2.Right-Right Mixing Dominant. 3.Left-Left plus Right-Right Mixing. Yili Wang - Super B Factory in Hawaii - 21 Jan hep-ph/ , to be published in PRD

27 Left-Right and Right-Right mixings are ignored. Yili Wang - Super B Factory in Hawaii - 21 Jan One phase and one mixing angles 1.Left-Left Mixing: Parameter space: New Phase

28 Constraints:  Severe bound on mixing Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004

29 Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004

30 Large deviation from SM prediction. large chargino influences. special property on Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004

31 Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004

32 3. Left-Left + Right-Right Mixing Too many parameters. Yili Wang - Super B Factory in Hawaii - 21 Jan Assumption:

33 Parameter space: Yili Wang - Super B Factory in Hawaii - 21 Jan Constraints:

34 Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004

35 Yili Wang - Super B Factory in Hawaii - 21 Jan Scan Region:

36 Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004

37 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

38 Left-Left mixing : Within constraints, large SUSY chargino contribution to CP asymmetry in Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004

39

40 2. Right-Right Mixing Mixing matrix: Parameter space: Constraints:

41

42 Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004

43

44 Parameters:

45

46 Loop function: Yili Wang - Super B Factory in Hawaii - 22 Jan. 2004

47 Many assumptions in κ estimation. Yili Wang - Super B Factory in Hawaii - 22 Jan. 2004