An Analytic Formula and an Upper Bound for epsilon'/epsilon in the Standard Model

Abstract

Using the idea of the penguin box expansion we find an analytic expression for epsilon'/epsilon in the Standard Model as a function of m_t, m_s(m_c) and two non-perturbative parameters B_6 and B_8. This formula includes next-to-leading QCD/QED short distance effects calculated recently by means of the operator product expansion and renormalization group techniques. We also derive an analytic expression for the upper bound on epsilon'/epsilon as a function of |V_cb|, |V_ub/V_cb|, B_K and other relevant parameters. Numerical examples of the bound are given.

10 pages with 1 figure appended in PostScript format; MPI preprint MPI-Ph/93-60 and TU preprint TUM-T31-47/93

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Cited by in corpus (9)

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• epsilon'/epsilon at the NLO: 10 Years Later
• On the consistency between the observed amount of CP violation in the K- and Bd-systems within minimal flavor violation
• The Strong Isospin-Breaking Correction for the Gluonic Penguin Contribution to epsilon'/epsilon at Next-to-Leading Order in the Chiral Expansion
• CP violation in a multi-Higgs doublet model with flavor changing neutral current