Electroweak corrections to the Charm-Top-Quark Contribution to ϵK

Abstract

We calculate the leading-logarithmic and next-to-leading-logarithmic electroweak corrections to the charm-top-quark contribution to the effective |∆S| = 2 Lagrangian, relevant for the parameter ϵK. We find that these corrections lead to a −0.5% shift in the corresponding Wilson coefficient. Moreover, our calculation removes an implicit ambiguity in the standard-model prediction of ϵK, by fixing the renormalization scheme of the electroweak input parameters.

Higher-Order Electroweak Contributions to Indirect CP Violation in Neutral Kaons

“…The details of the RG running are given in Ref. [8] including the modified RGEs featuring the anomalous dimension tensor corresponding to the mixing of double-insertions of |Δ𝑆| = 1 operators into Q7 . After matching onto the three-flavor theory at the charm scale, 𝜇 𝑐 , the running proceeds in an analogous way as 𝐶 𝑡𝑡 𝑆2 .…”

“…In these proceedings, we present the updated perturbative results including electroweak contributions given in Refs. [7,8].…”

“…We perfomed several analytical checks throughout several stages of the calculations, as outlined in Refs. [7,8].…”

Two-loop Electroweak Corrections to ϵK

“…In section 3, the results are discussed, followed by conclusion. Further details on the work presented here can be found in [3,4].…”