An analytic formula and an upper bound for in the Standard Model

1993/09/01 by Andrzej J. Buras, Markus E. Lautenbacher · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/0370-2693(93)91808-z

published as Phys.Lett.B318:212-216,1993 · 10 pages with 1 figure appended in PostScript format; MPI preprint MPI-Ph/93-60 and TU preprint TUM-T31-47/93

arxiv created 1993/09/01 · openalex publication_date 1993/11/01 · arxiv updated 2010/11/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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 B₆ and B₈. 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.

Citations

• A 1993 look at the lower bound on the top quark mass from CP violation
• Review of particle properties

Cited by

• CPviolation in a multi-Higgs-doublet model with flavor-changing neutral currents