A Critical Look at Rescattering Effects on $\gamma$ from $B^{+}\to K\pi$

Abstract

Three ways are compared of dealing with rescattering effects in $B^{\pm }\to K^0{\pi }^{\pm }$, in order to determine the weak phase $\gamma$ from these processes and $B^{\pm }\to K^{\pm }{\pi }^0$. We find that neglecting these contributions altogether may involve sizable errors in $\gamma$, depending on the rescattering amplitude and on the value of a certain measurable strong phase. We show that an attempt to eliminate these effects by using the charge-averaged rate of $B^{\pm }\to K^{\pm }{K}^0$ suffers from a large theoretical error due to SU(3) breaking, which may be resolved when using also the processes $B^{\pm }\to {\pi }^{\pm }{\eta }_8$.

10 pages with 6 figures

References in corpus (14)

• Determination of the Weak Phase gamma from Rate Measurements in B^+- -> pi K, pi pi Decays
• New Bound on gamma from B^+- -> pi K Decays
• Model-independent electroweak penguins in B decays to two pseudoscalars
• The Possibility of Large Direct CP Violation in B to K pi-Like Modes Due to Long Distance Rescattering Effects and Implications for the Angle gamma
• Final State Interactions and New Physics in B -> pi K Decays
• Model-Independent Analysis of B -> pi K Decays and Bounds on the Weak Phase gamma
• Weak Phase $\gamma$ From Ratio of $B\to K\pi$ Rates
• Rescattering Effects, Isospin Relations and Electroweak Penguins in B -> pi K Decays
• Isospin amplitudes and CP violation in $(B\to K\pi )$ decays
• Rescattering Information from $B\to K\bar{K}$ Decays
• Controlling Rescattering Effects in Constraints on the CKM Angle $\gamma$ arising from $B\to \pi K$ Decays
• Final State Interaction Phases in $B\to K\pi$ Decay Amplitudes
• Determining the Weak Phase $\gamma$ in the Presence of Rescattering
• Weak phases $\gamma$ and $\alpha$ from $B^{+}$, or $B^0$ and $B_s$ decays

Cited by in corpus (9)

• U-Spin Symmetry in Charmless B Decays
• The Role of $B_s\to K\pi$ in Determining the Weak Phase $\gamma$
• Implications of CP Asymmetry Limits for $B\to K\pi$ and $B\to \pi \pi$
• New Information on B Decays to Charmless VP Final States
• Searching for New Physics in Non-Leptonic B Decays
• Electroweak penguin amplitudes and constraints on $\gamma$ in charmless $B\to VP$ decays
• Recent Theoretical Developments in CP Violation in the B System
• Extrapolating SU(3) breaking effects from D to B decays
• CP Violation: Past, Present, and Future