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SU(3) relations and theCPasymmetries inBdecays toη′KS,φKS,andK+K−KS

2003/03/31 by Yuval Grossman, Zoltan Ligeti, Yosef Nir +2 · 8 citations
Mathematics · Physics and Astronomy · #Amplitude #Combinatorics #Mathematical analysis #Mathematics #Neutrino Physics Research #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Upper and lower bounds #hep-ph

paper · pdf · doi:10.1103/physrevd.68.015004

published as Phys.Rev.D68:015004,2003 · 24 pages; corrections in Sec. III.A and V, results hardly affected, to appear in Phys Rev D

arxiv created 2003/06/05 · openalex publication_date 2003/07/16 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We consider CP asymmetries in neutral B meson decays to \ensuremathη^\ensuremath'KS, \ensuremathφKS, and K+K^\ensuremath-KS. We use SU(3) relations to estimate or bound the contributions to these amplitudes proportional to Vub*Vus. Such contributions induce a deviation of the Sf terms measured in these time dependent CP asymmetries from that measured for \ensuremathψKS. For the K+K^\ensuremath-KS mode, we estimate the deviation to be of order 0.1. For the \ensuremathη^\ensuremath'KS mode, we obtain an upper bound on this deviation of order 0.3. For the \ensuremathφKS mode, we have to add a mild dynamical assumption to the SU(3) analysis due to insufficient available data, yielding an upper bound of order 0.25. These bounds may improve significantly with future data. While they are large at present compared to the usually assumed standard model contribution, they are obtained with minimal assumptions and hence provide more rigorous tests for new physics. If measurements yield |Sf\ensuremath-S_\ensuremathψK| that are much larger than our bounds, it would make a convincing case for new physics.

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