NLO calculation of ${ϵ}^{\prime }/ϵ$ in QCD and QED within the lattice QCD framework

Abstract

We present the results of our recent calculation of ${ϵ}^{\prime }/ϵ$ at the Next-to-Leading (NLO) order in QCD and QED, in the framework of $\text{DSone}$ Effective Hamiltonians. The operator matrix elements are taken from lattice QCD, at a scale $\mu =2\text{mbox}GeV$. NLO corrections seem to lower the value of ${ϵ}^{\prime }/ϵ$, favouring the experimental result of E731. Contributions from different operators are analyzed and dependence on $\text{mt}$, $\mu$ and ${\Lambda }_{\text{sss}QCD}$ discussed. (Talk given at the XXVIIIth Rencontres de Moriond, ``Electro-Weak Interactions and Unified Theories'', March 13-19 1993).

Comments: 8 pages, LaTeX, figures available on request, ULB-TH 93/04