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Determination of $\varepsilon_K$ using lattice QCD inputs · Around

2015

Determination of $\varepsilon_K$ using lattice QCD inputs

Bailey, Jon A., Jang, Yong-Chull, Lee, Weonjong et al.

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We present results for the indirect CP violation parameter $\varepsilon_K$ determined directly from the standard model using lattice QCD to fix the inputs $\hat{B}_K$, $\xi_0$, $|V_{us}|$, and $|V_{cb}|$.

We use the FLAG and SWME results for $\hat{B}_K$.
We use the RBC-UKQCD result for $\xi_0$ determined using the experimental value of $\varepsilon'/\varepsilon$ and the lattice result of $\mathrm{Im}\,A_2$.
To set the Wolfenstein parameter $\lambda$, we use $|V_{us}|$, which is determined from $K_{\ell3}$ and $K_{\mu2}$ decays combined with lattice evaluations of the $K \to \pi \ell \nu$ vector form factor and $f_K$.

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