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Update on $\varepsilon_K$ with lattice QCD inputs

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arxiv 1710.06614 v2 pith:NUKISFK2 submitted 2017-10-18 hep-lat

classification hep-lat
keywords latticeinputsupdatedvarepsilongroupresultstensionangle-only-fit
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We report updated results for $\varepsilon_K$, 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 $\varepsilon_K$ 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.

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  1. 2024 Update on $\varepsilon_K$ with lattice QCD inputs

    hep-lat 2024-12 conditional novelty 4.0 of 10

    Using 2024 inputs and exclusive |V_cb|, the standard model predicts only about 65% of the measured |epsilon_K|, a gap that vanishes when inclusive |V_cb| is used.

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