English

A 1996 Analysis of the CP Violating Ratio epsilon'/epsilon

High Energy Physics - Phenomenology 2014-11-17 v1

Abstract

We update our 1993 analysis of the CP violating ratio \epe\epe in view of the changes in several input parameters, in particular the improved value of the top quark mass. We also investigate the strange quark mass msm_s dependence of \epe\epe in view of rather low values found in the most recent lattice calculations. A simple scanning of the input parameters within one standard deviation gives the ranges: 1.2104\epe16.0104-1.2 \cdot 10^{-4} \le \epe \le 16.0 \cdot 10^{-4} and 0\epe43.01040 \le \epe \le 43.0 \cdot 10^{-4} for \ms(\mc)=150±20 \mev\ms(\mc)=150\pm20~ \mev and \ms(\mc)=100±20 \mev\ms(\mc)=100\pm20~ \mev respectively. If the experimentally measured numbers and the theoretical input parameters are used with Gaussian errors, we find \epe=(3.6±3.4)104\epe= ( 3.6\pm 3.4) \cdot 10^{-4} and \epe=(10.4±8.3)104\epe= ( 10.4\pm 8.3) \cdot 10^{-4} respectively. We also give results for ImVtsVtd{\rm Im} V_{ts}^*V_{td}. Analyzing the dependence of \epe\epe on various parameters we find that only for \ms(\mc)100\mev\ms(\mc)\le 100\,\mev and a conspiration of other input parameters, values for \epe\epe as large as (24)103(2-4) \cdot 10^{-3} and consistent with the NA31 result can be obtained.

Keywords

Cite

@article{arxiv.hep-ph/9608365,
  title  = {A 1996 Analysis of the CP Violating Ratio epsilon'/epsilon},
  author = {A. J. Buras and M. Jamin and M. E. Lautenbacher},
  journal= {arXiv preprint arXiv:hep-ph/9608365},
  year   = {2014}
}

Comments

14 pages, LaTeX, 3 figures included