2007/01/24 by M. Bóna, UTfit Collaboration, M. Bona +12 · 2 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1103/physrevd.76.014015
published as Phys.Rev.D76:014015,2007 · 16 pages, 7 figures
arxiv created 2007/01/24 · openalex publication_date 2007/07/31 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Motivated by a recent paper that compares the results of the analysis of the CKM angle \ensuremathα in the frequentist and in the Bayesian approaches, we have reconsidered the information on the hadronic amplitudes, which helps in constraining the value of \ensuremathα in the standard model. We find that the Bayesian method gives consistent results irrespective of the parametrization of the hadronic amplitudes and that the results of the frequentist and Bayesian approaches are equivalent when comparing meaningful probability ranges or confidence levels. We also find that from B\ensuremath→\ensuremathπ\ensuremathπ decays alone the 95% probability region for \ensuremathα is the interval [80\ifmmode^∘\else\textdegree\fi, 170\ifmmode^∘\else\textdegree\fi], well consistent with recent analyses of the unitarity triangle where, by using all the available experimental and theoretical information, one gets \ensuremathα=(93\ifmmode±\else\textpm\fi4)\ifmmode^∘\else\textdegree\fi. Last but not least, by using simple arguments on the hadronic matrix elements, we show that the unphysical region \ensuremathα\ensuremath∼0, present in several experimental analyses, can be eliminated.