Sum rule for rate and CP asymmetry in B+→K+π0

2006/10/29 by Michael Gronau, Jonathan L. Rosner
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ex #hep-ph

paper · pdf · doi:10.1016/j.physletb.2006.11.044

published as Phys.Lett.B644:237-240,2007 · small correction

arxiv created 2006/10/29 · openalex publication_date 2006/12/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A sum rule relating the ratio R_c = 2 Γ(B⁺ → K⁺ π⁰)/Γ(B⁺ → K⁰ π⁺) and the CP asymmetry A_CP(B⁺ → K⁺π⁰) is proved to first order in the ratio of tree to penguin amplitudes. The sum rule explains why it is possible to have R_c consistent with 1 together with a small CP asymmetry in B⁺ → K⁺ π⁰. The measured ratio A_CP(B⁺→ K⁺π⁰)/A_CP(B⁰→ K⁺π^-) rules out a small strong phase difference between a color-suppressed and a color-favored tree amplitude contributing to B⁺→ K⁺π⁰ as favored by QCD factorization.

Citations

• CP violation difference in B^o and B^± decays explained No tree-penguin interference in B⁺ → K⁺π^o
• Electroweak penguin diagrams and two-bodyBdecays
• QCD factorization in B→πK, ππ decays and extraction of Wolfenstein parameters
• A new approach to a global fit of the CKM matrix
• Review of Particle Physics