2022
DOI: 10.48550/arxiv.2207.07669
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Electroweak Corrections to the Charm-Top-Quark Contribution to $ε_K$

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 K . 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 K , by fixing the renormalization scheme of the electroweak input parameters.

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Cited by 2 publications
(2 citation statements)
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“…Again, NNLO corrections are known [4,5,12,13,14] and also LD contributions have been estimated [15,16,17]. Large progress has been made recently in the work of Brod et al [18], in which the unitarity relation of the CKM matrix has been used in a special manner to reduce the uncertainty from the charm-quark contribution, leading to…”
Section: Kaon Mixingmentioning
confidence: 99%
“…Again, NNLO corrections are known [4,5,12,13,14] and also LD contributions have been estimated [15,16,17]. Large progress has been made recently in the work of Brod et al [18], in which the unitarity relation of the CKM matrix has been used in a special manner to reduce the uncertainty from the charm-quark contribution, leading to…”
Section: Kaon Mixingmentioning
confidence: 99%
“…Due to the impressive progress by LQCD and HQET done in the last decade, the hadronic matrix elements relevant for the latter observables are already known with a high precision. This is even more the case of short distance QCD contributions for which not only NLO QCD corrections are known [15][16][17][18] but also the NNLO ones [19][20][21]and the NLO electroweak corrections [22,23]. As the experimental precision on |ε K |, M s and M d is already impressive and the one on the mixing induced CP-asymmetry S ψ K S , that gives us β, will be improved by the LHCb and Belle II collaborations soon, this complex of F = 2 observables is in a much better shape than F = 1 transitions if both the status of the experiment and the status of the theory are simultaneously considered.…”
Section: Introductionmentioning
confidence: 99%