Examination of Flavor Symmetry in $B,B_s\to K\pi$ Decays

Abstract

We study a relation between the weak phase $\gamma$ and the rates and CP asymmetries of several $K\pi$ decays of $B^{+}$, $B^0$, and $B_s$, emphasizing the impact of the latter measurements. Current data indicate large SU(3) breaking in the strong phases or failure of factorization (including its application to penguin amplitudes) in $K\pi$ modes of $B^0$ and $B_s$. SU(3) and factorization only remain approximately valid if the branching ratio for $B_s\to K^{-}{\pi }^{+}$ exceeds its current value of $(5.27\pm 1.17)\times 10^{-6}$ by at least 42%, or if a parameter $\xi$ describing ratios of form factors and decay constants is shifted from its nominal value by more than twice its estimated error.

10 pages, 4 figures. Misprints in some exponents corrected; one experimental value and some discussion updated

References in corpus (5)

• Measurement of phi_3 with Dalitz plot analysis of B+ -> D(*)K(*)+ decay
• $B_{s,d}\to \pi \pi ,\pi K,KK$: Status and Prospects
• Systematic Error on Weak Phase $\gamma$ from $B\to {\pi }^{+}{\pi }^{-}$ and $B\to K\pi$
• Constraints on the CKM Angle gamma from B -> K*+- pi-+
• Constraining gamma from K* pi and rho K Decays

Cited by in corpus (4)

• B, Bs -> K form factors: an update of light-cone sum rule results
• Theoretical Review on CP Violation in Rare B decays
• Prediction of the $CP$ asymmetry $C_{00}$ in $B^0\to D^0\overline{D^0}$ decay
• Estimating QCD-factorization amplitudes through $SU(3)$ symmetry in $B\to PP$ decays