2006/01/29 by Michael Gronau, Yuval Grossman, Guy Raz +1 · 1 citation
Mathematics · Physics and Astronomy · #Amplitude #Hadron #High-Energy Particle Collisions Research #Homogeneous space #Isospin #Mathematics #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Spontaneous symmetry breaking #Sum rule in quantum mechanics #Symmetry (geometry) #Symmetry breaking #hep-ph
paper · pdf · doi:10.1016/j.physletb.2006.02.066
published as Phys.Lett.B635:207-212,2006 · 11 pages, small corrections, one reference added, submitted to Physics Letters B
arxiv created 2006/01/29 · openalex publication_date 2006/03/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
While flavor symmetries are useful for studying hadronic B decays, symmetry relations for amplitudes and decay rates are usually violated by first order symmetry breaking corrections. We point out two cases in which first order symmetry breaking is suppressed by a small ratio of amplitudes: (1) An isospin sum rule for four B→ Kπ decays, where isospin breaking is shown to be negligible. (2) An SU(3) sum rule for pairs of B→ Kπ and B→ Kη8, generalized to pairs of B→ Kπ, B→ Kη and B→ Kη'.