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2018 Update on varepsilon_K with lattice QCD inputs

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arxiv 1810.09761 v1 pith:ORNPCR2H submitted 2018-10-23 hep-lat hep-ph

2018 Update on varepsilon_K with lattice QCD inputs

classification hep-lat hep-ph
keywords varepsiloninputslatticefindmodelstandardtensionvalue
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present updated results for $\varepsilon_K$ determined directly from the standard model (SM) with lattice QCD inputs such as $\hat{B}_K$, $|V_{cb}|$, $|V_{us}|$, $\xi_0$, $\xi_2$, $\xi_\text{LD}$, $F_K$, and $m_c$. We find that the standard model with exclusive $|V_{cb}|$ and other lattice QCD inputs describes only 70% of the experimental value of $|\varepsilon_K|$ and does not explain its remaining 30%, which leads to a strong tension in $|\varepsilon_K|$ at the $4\sigma$ level between the SM theory and experiment. We also find that this tension disappears when we use the inclusive value of $|V_{cb}|$ obtained using the heavy quark expansion based on QCD sum rules.

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