Update on ${\epsilon }_K$ with lattice QCD inputs

Abstract

We report updated results for ${\epsilon }_K$, the indirect CP violation parameter in neutral kaons, which is evaluated directly from the standard model with lattice QCD inputs. We use lattice QCD inputs to fix ${\bar{B}}_K$, $|V_{cb}|$, ${\xi }_0$, ${\xi }_2$, $|V_{us}|$, and $m_c(m_c)$. Since Lattice 2016, the UTfit group has updated the Wolfenstein parameters in the angle-only-fit method, and the HFLAV group has also updated $|V_{cb}|$. Our results show that the evaluation of ${\epsilon }_K$ with exclusive $|V_{cb}|$ (lattice QCD inputs) has $4.0\sigma$ tension with the experimental value, while that with inclusive $|V_{cb}|$ (heavy quark expansion based on OPE and QCD sum rules) shows no tension.

arXiv comment8 pages, 7 figures, Lattice 2017 proceeding, references updated

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• Big-Bang Nucleosynthesis
• CP Violation and the CKM Matrix: Assessing the Impact of the Asymmetric B Factories
• ππscattering
• The top quark and Higgs boson masses and the stability of the electroweak vacuum
• Standard-model prediction for direct CP violation in $K\to \pi \pi$ decay
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Cited by in corpus (5)

• Gluino-mediated electroweak penguin with flavor-violating trilinear couplings
• Flavor-Safe Light Squarks in Higgs-Anomaly Mediation
• Updated evaluation of ${\epsilon }_K$ in the Standard Model with lattice QCD inputs
• Muon $g-2$ in Split-Family SUSY in light of LHC Run II
• Probing SUSY effects in $K_S^0\to {\mu }^{+}{\mu }^{-}$