2004/10/07 by Xiaogang He, Xiao-Gang He, He, Xiao-Gang +2
Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/0410098
RevTex, 17 pages. New materials showing the equivalence of diagram and algebraic SU(3) analysis added, analysis updated, and typos corrected
openalex publication_date 2004/10/07 · arxiv created 2005/06/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
One can analyze the hadronic decay amplitudes for B→ PP decays using flavor SU(3) symmetry in different ways, such as the algebraic and quark diagram approaches. We derive specific relations between these two sets of amplitudes. In the Standard Model the leading hadronic decay amplitudes depend on only five independent parameters which can be determined using recent experimental data on the branching ratios and CP violating asymmetries of B→ K π and B → ππ. We find, however, that the leading amplitudes provide a best fit solution with a large χ2, which cannot therefore be regarded as a good fit. Keeping sub-leading terms, makes it possible to have a reasonable minimal χ2. We also find that in general the color suppressed decay amplitude is comparable with the color allowed amplitude, contrary to expectations.