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CP Violation and Rare Decays in Hyperon and Systems

Xiao-Gang He

NTU

Collaborators: Donoghue, Pakvasa, Tandean, Valencia

Antiproton Physics Workshop, , 22 May, 2010 Outline

CPV in Hyperon Decays in the SM and Beyond

HyperCP X and Some Implications

Charm Sector with New Physics

2 Contributed to 4th International Symposium on Symmetries in Subatomic Physics, Taipei, Taiwan, 2-5 Jun 2009. CPV in Hyperon Decays in the SM and Beyond

16 HyperCP X Particle and Some Implications

HyperCP’s findings

What’s the up-to-date SM prediction? Old calculation by Bergstrom, Safadi, Singer (1988) Do the observed 3 events hint at new physics?

17 From talk by HK Park (HyperCP) Interpretations of Results: Σ+ → pP0, P0 → µ+µ−

• Dimuon masses for 3 candidates are clustered within ~ 1 MeV/c2.

Data ΜC: Σ+ → pµ+µ- Σ+ → pP0 , P0 → µ+µ− (MC)

Data

• Probability for dimuon masses of 3 events to be within 1 MeV for Σ+ → pµ+µ- decays is less than 1%. • Suggests two-body decays, Σ+ → pP0, P0 → µ+µ−:

   +2.4  0 2 + 0 0 + −   -8 M =(214.3 ± 0.5) MeV/c B(Σ → pP ,P →µ µ )= 3.1 ±1.5×10 P  −1.9    18 expectations Long-distance contributions dominate Σ+ →pμ+μ− decay.

The resulting branching ratio He, JT, Valencia

agrees well with the HyperCP measurement

(under the assumption of no new physics)

The lower end of the predicted rate leaves room for attributing all the 3 observed events to new physics.

19 Standard model expectations Distribution of dimuon invariant mass Mμμ (solid curves)

He, JT, Valencia Different graphs reflect uncertainty in the calculation.

Not surprisingly, the predicted distributions show no sharp peak anywhere.

20 New-particle interpretations

The possibility that a new particle, X, is responsible for the HyperCP events has been theoretically explored to some extent in the literature He, JT, Valencia Deshpande, Eilam, Jiang Geng, Hsiao . . . . . X may be spinless Pseudoscalar sgoldstino in supersymmetric models Gorbunov et al. CP-odd Higgs in the next-to-minimal supersymmetric standard model (NMSSM) He, JT, Valencia

X may be a -1 particle Gauge (U) boson of an extra U(1) gauge group in some extensions of the SM. Chen, Geng, Kao

21 Constraints on bbX couplings for spinless X CLEO

BaBar

22 Constraints from K ± →π ± μ+μ− data With only the 2- contributions being present, the

scalar gS (vector gV) part of the sdX coupling in the spinless (spin 1) case is constrained by K ± →π ± μ+μ− data to be negligibly small.

The pseudoscalar gP (axial-vector gA) part can be probed + − by K →ππ μ μ He, JT, Valencia Deshpande, Eilam, Jiang

J Tandean NTU PPJC, 7 Dec 2009 23 0 0 Search for KL→π π X, X →γγ

This constrains some sgoldstino scenarios.

24 0 0 + − Searches for KL→π π X , X →μ μ Preliminary results reported at KAON09

25 From talk by D Phillips (KTeV)

26 Implications of KTeV results

KTeV measurements

From talk by D Phillips (KTeV) Same number for spinless or spin-1 X Predictions for spin-1 X (with real sdX coupling)

He, JT, Valencia

This is well below the KTeV upper-bound and could get lower in the presence of an imaginary part of the sdX coupling

Thus the axial-vector (gA) part the sdX coupling is not well constrained

27

Search for B 0 →K *0X, ρ0X, X →μ+μ− at Belle

From talk by H Hyun (Belle)

29 Charm Sector with New Physics

Divergences treated by dimensional regularization with a cut off

Large contributions to

D^0 – \bar D^0 mixing and CP violation. c -> u gamma.

….