Implications of the Fleischer-Mannel Bound

Abstract

Fleischer and Mannel (FM) have shown that it may become possible to constrain the angle $\gamma$ of the unitarity triangle from measurements of various $B\to \pi K$ decays. This constraint is independent of hadronic uncertainties to the few percent level. We show that, within the Standard Model, the FM bound gives strong constraints on the CKM parameters. In particular, it could predict a well defined sign for $\sin 2\gamma$ and $\sin 2\alpha$. In a class of extensions of the Standard Model, where the New Physics affects only $\Delta B=2$ (and, in particular, not $\Delta B=1$) processes, the FM bound can lead to constraints on CP asymmetries in $B$ decays into final CP eigenstates even if $B-\bar{B}$ mixing is dominated by unknown New Physics. In our analysis, we use a new method to combine in a statistically meaningful way the various measurements that involve CKM parameters.

24 pages, revtex, 6 figures included using psfig

Cited by in corpus (14)

• CP Violation in the B System and Relations to $K\to \pi \nu \bar{\nu }$ Decays
• Analysis of ε'/εin the 1/N_c Expansion
• CP Violating Lepton Asymmetries from B Decays and Their Implication for Supersymmetric Flavor Models
• New Bounds On The CKM Matrix From B -> K pi pi Dalitz Plot Analyses
• Indirect Measurement of the Vertex and Angles of the Unitarity Triangle
• Controlling Rescattering Effects in Constraints on the CKM Angle $\gamma$ arising from $B\to \pi K$ Decays
• Constraining Models of New Physics in Light of Recent Experimental Results on $a_{\psi K_S}$
• Penguin Topologies, Rescattering Effects and Penguin Hunting with $B_{u,d}\to K\bar{K}$ and $B^{\pm }\to {\pi }^{\pm }K$
• SU(3) Flavor Symmetry and CP Violating Rate Differences for Charmless $B\to PV$ Decays
• Towards Extractions of the CKM Angle $\gamma$ from $B_{u,d}\to \pi K$ and Untagged $B_s\to K\bar{K}$ Decays
• On the Geometry Origin of Weak CP Phase
• Implication of $\sin 2\beta$ from global fit and $B\to J/\psi K_S$
• Status and Prospects of CKM Phase Determinations
• Probing the CKM Angle $\gamma$ with $B\to \pi K$ Decays