Extrapolating SU(3) breaking fromDtoBdecays

2000/04/03 by Michael Gronau, Dan Pirjol
Mathematics · Medicine · Physics and Astronomy · #Algorithm #Artificial intelligence #Computer science #Mathematics #Medical Imaging Techniques and Applications #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.62.077301

published as Phys.Rev. D62 (2000) 077301 · 10 pages LaTeX

arxiv created 2000/04/03 · openalex publication_date 2000/09/05 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We consider two SU(3) breaking parameters R₁(m_B) and R₂(m_B) appearing in a relation between B⁺\ensuremath→K\ensuremathπ and B⁺\ensuremath→\ensuremathπ\ensuremathπ amplitudes, which plays an important role in determining the weak phase \ensuremathγ. In the heavy quark limit, we identify an isospin-related quantity R₂(m_D) measured in D decays, exhibiting large SU(3) breaking which is likely due to nonfactorizable effects. Applying heavy quark symmetry to semileptonic D and B decay form factors, we find that factorizable SU(3) breaking in R₂(m_B)/R₁(m_B) may be significantly larger than estimated from certain model calculations of form factors.

Citations

• Dependence of the form factors of B → πℓν on the heavy quark mass
• The ratio (fBs/fB)/(fDs/fD) and its implications forB-B¯ mixing
• Decays ofBmesons to two pseudoscalars in broken SU(3) symmetry
• Semileptonic decays of heavy to light mesons from an MIT bag model
• QCD Factorization forB→ππDecays: Strong Phases andCPViolation in the Heavy Quark Limit
• SU(3) decomposition of two-bodyBdecay amplitudes