Tests for CPT sum rule and U-spin violation in time-dependent CP violation of Bs0 → K+K- and B0 → π+π-

作者：He, Xiao-Gang^*; Li, Siao-Fong; Ren, Bo; Yuan, Xing-Bo

来源：PHYSICAL REVIEW D, 2017, 96(5): 053004.

DOI：10.1103/PhysRevD.96.053004

• STANDARD MODEL
• QCD FACTORIZATION
• DECAYS
• CHARMLESS
• SYMMETRY
• PENGUINS

Recent LHCb data for time-dependent CP violation in B-0 -> pi(+) pi(-) and B-s(0) -> K+K- show deviations from theoretical predictions. Besides their central values for C-K(K)+(-), S(K)(K)(+)(-)and A(K+K-)(Delta Gamma)violate quantum mechanic CPT invariant sum rule (CPT sum rule) prediction of vertical bar CK+K-vertical bar(2) vertical bar SK+K-vertical bar(2) + vertical bar A(K+K-)(Delta Gamma)vertical bar(2) = 1 (LHCb data imply the sum to be 0.67 +/- 0.20.), their values for CK+K- = 0.24 +/- 0.06 +/- 0.02 and C pi+pi- = -0.24 +/- 0.07 +/- 0.01 also show large violation of SU(3) or its U-spin sub-group symmetry (SU(3)/U) relation CK+K- /C pi-pi+ = -(B) over bar (B-0 -> pi(-)pi(+))tau B-s(0)/(B) over barB(s)(0) -> K+K-)tau(0)(B) (LHCb data imply the ratio of left-side to right-side to be 4.67 +/- 1.88.). The LHCb results need to be further confirmed to be taken seriously. We suggest to use time-dependent CP violation in B-s -> K-0(K) over bar (0) , pi(+) pi(-) , pi(0) pi(0) to further test the CPT sum rule. Assuming that the sum rule holds, we propose that violation of the SU(3)/U relation may indicate a large FSI phase difference in the pi(+) pi(-) and K+K- rescattering. We suggest several other U-spin pairs of B -> PP decays to further test SU(3)/U relations.

• 出版日期2017-9-14
• 单位上海交通大学