$ε^{\prime}/ε$ at the next-to-leading order in QCD and QED

Details $ε^{\prime}/ε$ at the next-to-leading order in QCD and QED $ε^{\prime}/ε$ at the next-to-leading order in QCD and QED

1992-12-01

arxiv.org/abs/hep-ph/9212203v1

Phys.Lett.B301:263-271,1993

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, 6 figures included, LaTeX

Scientific paper

10.1016/0370-2693(93)90699-I

We present a new calculation of the CP violation parameter $\epsilon^{\prime}/ \epsilon$. The results reported in this paper have been obtained by using the $\Delta S=1$ effective Hamiltonian computed at the next-to-leading order, including QCD and QED penguins. The matrix elements of the relevant operators have been taken from lattice QCD, at a scale $\mu=2$ GeV. At this relatively large scale, the perturbative matching between the relevant operators and the corresponding coefficients is quite reliable. The effect of the next-to-leading corrections is to lower the prediction obtained at the leading order, thus favouring the experimental result of E731. We analyze different contributions to the final result and compare the leading and next-to-leading cases.

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