PoS - Proceedings of Science
Volume 430 - The 39th International Symposium on Lattice Field Theory (LATTICE2022) - Poster
2022 update on $\varepsilon_K$ with lattice QCD inputs
W. Lee*, S. Kim, S. Lee, J. Leem and S. Park
Full text: pdf
Pre-published on: February 27, 2023
Published on: April 06, 2023
We present recent updates for $\epsilon_K$ 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 65\% of the experimental value of
$|\epsilon_K|$ and does not explain its remaining 35\%, which leads to a
strong tension in $|\epsilon_K|$ at the $5.1\sigma \sim 3.9\sigma$ 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, although this inclusive tension is small ($\approx
1.4\sigma$) but keeps increasing as time goes on.
DOI: https://doi.org/10.22323/1.430.0297
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