PoS - Proceedings of Science
Volume 453 - The 40th International Symposium on Lattice Field Theory (LATTICE2023) - Poster session
2023 update of $\varepsilon_K$ with lattice QCD inputs
W. Lee*, S. Jwa, J. Kim, S. Kim, S. Lee, J. Leem, J. Pak and S. Park
Full text: pdf
Pre-published on: May 03, 2024
Published on:
Abstract
We report recent progress on $\varepsilon_K$ evaluated directly from the
standard model (SM) with lattice QCD inputs such as $\hat{B}_K$, $|V_{cb}|$,
$|V_{us}|$, $|V_{ud}|$, $\xi_0$, $\xi_2$, $\xi_\text{LD}$, $f_K$, and $m_c$.
We find that the standard model with exclusive $|V_{cb}|$ and lattice
QCD inputs describes only 66% of the experimental value of
$|\varepsilon_K|$ and does not explain its remaining 34%, which corresponds
to a strong tension in $|\varepsilon_K|$ at the $4.9\sigma \sim 3.9\sigma$
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/10.22323/1.453.0160
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