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2018 Update on $\varepsilon_K$ with lattice QCD inputs

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abstract

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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hep-lat 1

years

2024 1

verdicts

CONDITIONAL 1

representative citing papers

2024 Update on $\varepsilon_K$ with lattice QCD inputs

hep-lat · 2024-12-31 · conditional · novelty 4.0

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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  • 2024 Update on $\varepsilon_K$ with lattice QCD inputs hep-lat · 2024-12-31 · conditional · none · ref 7 · internal anchor

    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.