PoS - Proceedings of Science
Volume 396 - The 38th International Symposium on Lattice Field Theory (LATTICE2021) - Poster
2021 update on $\varepsilon_K$ with lattice QCD inputs
W. Lee*, J. Kim, Y.C. Jang, S. Lee, J. Leem, C. Park and S. Park
Full text: pdf
Pre-published on: May 16, 2022
Published on:
Abstract
We present recent updates 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 66\% of the experimental value of
$|\varepsilon_K|$ and does not explain its remaining 34\%, which leads to a
strong tension in $|\varepsilon_K|$ at the $4.5\sigma \sim 3.7\sigma$ 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 the QCD sum rule
approach.
DOI: https://doi.org/10.22323/1.396.0078
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