Power corrections to the CP-violation parameter εK

Author:

Ciuchini M.,Franco E.,Lubicz V.,Martinelli G.,Silvestrini L.ORCID,Tarantino C.

Abstract

Abstract We present the calculation of the short-distance power corrections to the CP-violation parameter εK coming from dimension-8 operators in the ∆S = 2 effective Hamiltonian. A first estimate of this contribution, obtained for large-Nc and in the chiral limit, was provided in ref. [1]. Here we evaluate and include the $$ \mathcal{O}\left({m}_K^2/{m}_c^2\right) $$ O m K 2 / m c 2 and $$ \mathcal{O}\left({\Lambda}_{\mathrm{QCD}}^2/{m}_c^2\right) $$ O Λ QCD 2 / m c 2 contributions that, a priori, could induce $$ \mathcal{O} $$ O (1) corrections to previous estimates, as mK is numerically of order ΛQCD. Our computation shows that there are several dimension-8 operators besides the one considered before. Their effect on εK, however, accidentally cancels out to a large extent, leaving the final correction at the level of 1%.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. New UTfit analysis of the unitarity triangle in the Cabibbo–Kobayashi–Maskawa scheme;Rendiconti Lincei. Scienze Fisiche e Naturali;2023-02-14

2. Electroweak corrections to the Charm-Top-Quark Contribution to ϵK;Journal of High Energy Physics;2022-12-05

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