Tests for CPT sum rule and U-spin violation in time-dependent CP violation of Bs0 →k+K-A nd B0 →π+π-
Journal
Physical Review D
Journal Volume
2016
Journal Issue
12
Date Issued
2016
Author(s)
Abstract
Recent LHCb data for time-dependent CP violation in B0→π+π-A nd Bs0→K+K-show deviations from theoretical predictions. Besides their central values for CK+K-, SK+K-A nd AK+K-ΔΓ violate quantum mechanic CPT invariant sum rule (CPT sum rule) prediction of |CK+K-|2+|SK+K-|2+|AK+K-ΔΓ|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 Cπ+π-=-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-/Cπ-π+=-B-(B0→π-π+)τBs0/B-(Bs0→K+K-)τB0 (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 Bs→K0K̄0,π+π-,π0π0 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 π+π-A nd K+K-rescattering. We suggest several other U-spin pairs of B→PP decays to further test SU(3)/U relations.
SDGs
Type
journal article