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CP Violation in Hyperon Decays
Xiao-Gang He Workshop on form factor, polarization and CP violation in quantum-correlated hyperon-anti-hyperon production Fudan University, Shanghai 7-8, July, 2019
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Decay Modes F
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Observables (Donoghue and Pakvasa, PRL55(1985)162, Donoghue, He and Pakvasa, PRD 34 (1986)833)
B -> F M B initial baryon F baryon in the final state M meson in the final state S p-parity violating P p-parity conserving
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CPV observables diS,P –CP violating phase fiS,P – CP conserving phase
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Isospin decomposition of Hyperon decay amplitudes
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Quantities need to know
L -> p N: d1 = 6.0o, d3=-3.8o, d11=-1.1o, d31=-0.7o X -> p L: d2 = -18.7o, d21=-2.7o Amplitudes known from Br S -> p N: d1 = 9.4o, d3=-10.1o, d11=-1.8o, d31=-3.6o Need to know weak phases fS,Pi
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SM calculation for Weak phases fS,Pi
Tree and penguin contributions A. Buras et al., ReV. Mod. Phys.
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Buchalla et al., Rev. Mod. Phys. 68, 1125(1996)
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ImC5=Im(-Vtd*Vts/Vud*Vus) Y6
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SM for CPV in Hyperon Decays
Scaled by ImC5/ ~ 0.8 present value J. Tandean and G. Valencia, Phys. Rev. D 67, (2003) [hep-ph/ ].
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J. Tandean, Phys. Rev. D 70, 076005 (2004) [hep-ph/0406274].
J. Tandean and G. Valencia, Phys. Lett. B 451, 382 (1999) [hep-ph/ ] Rate asymmetry 2x10-5
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HyperCP Collaboration (Holtmstrom et al, PRL 93(2004)262001) ~ AL + AX Theory SM: |ALX| < 10-4
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Beyond SM for CPV in Hyperon Decays
Beyond SM, CP violating effects can be larger Examples Left-Right symmetric, Supersymmetric modela A can be as large as ~ a few 10-4
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Left-Right symmetric model D. Chang, N. Deshpande, X-G
Left-Right symmetric model D. Chang, N. Deshpande, X-G. He PRL74 (1995) 3927 SU(3)C x SU(2)L x SU(2)R x U(1)B-L Besides WL for SU(2)L there is additional WR for SU(2)R They mix with each other Mixing angle x There are VKML and also VKMR More CP violating phases DS = 1 effective Hamiltonian HSM from WL, HR from WR, and HLR from mixing
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Using data for CP conserving amplitudes, we have For O+,- contributions, using factorization calculation For the dipole term, using bag model Similar calculation for gluon dipole operator by J. Tandean, Phys. Rev. D 69, (2004) [hep-ph/ ].
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Constrained from e’/e = (1.65 +- 0.23)x10-3 (PDG)
x < from data Assuming |VLij| ~ |VRij| New CPV phases take sin(phase) ~1 A(L) can be as large as a few 10-4 A(X) can be as large as 10-4
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Supersymmetric Model He, Murayama, Pakvasa, Valencia, PRD61(2000)071701(R)
Exchange gluino can induce gluonic color dipole interaction 0.7Bs < Bp < 1.3 Bs
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A(L) constrained, but can be as large as a few x10-4 .
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Similar things for B-baryon decays M. He, X-G He and G. N
Similar things for B-baryon decays M. He, X-G He and G.N. Li PRD92(2015)036010
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Interesting U-spin pair relations
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CP violation in J/Y -> Hyperon Pairs X-G He, J. P. Ma and B
CP violation in J/Y -> Hyperon Pairs X-G He, J. P. Ma and B. McKellar, PRD47(1993)1745(R), PRD49(1994)4548 d term violates CP d term violates CP
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CPV observable L -> p p measures spin
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With 109 J/Y the sensitivity for hyperon edm Can reach ecm Not competative with n and p edm But better than current L edm limit which is 15x ecm
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Conclusion CP violation effect exist in hyperon decays. Correlated ploarization measurement for the quantity A(B) reaching 10-5 sensitivity will test the the SM to a good precision. With a few 10-4 sensitivity will rule out some theoretical models beyond the SM. J/y decays into L-pair, will also provide important CP violation beyond the SM. BES III can rule out some parameter space in beyond SM models. STCF can reach SM predicted range.
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