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Paper detail

Two-loop Electroweak Corrections to the Top-Quark Contribution to $ε_K$

The parameter $ε_K$ measures $CP$ violation in the neutral kaon system. It is a sensitive probe of new physics and plays a prominent role in the global fit of the Cabibbo-Kobabyashi-Maskawa matrix. The perturbative theory uncertainty is currently dominated by the top-quark contribution. Here, we present the calculation of the full two-loop electroweak corrections to the top-quark contribution to $ε_K$, including the resummation of QED-QCD logarithms. We discuss different renormalization prescriptions for the electroweak input parameters. In the traditional normalization of the weak Hamiltonian with two powers of the Fermi constant $G_F$, the top-quark contribution is shifted by $-1\%$.

preprint2021arXivOpen access
Joachim BrodSandra KvedaraitėZachary Polonsky
hep-ph
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Joachim BrodSandra KvedaraitėZachary Polonsky

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