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- W4300694087 abstract "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 $f_K$. To set the Wolfenstein parameter $A$, we use the FNAL/MILC results for $|V_{cb}|$, which are determined from the exclusive decay $bar{B} to D^* ell bar{nu}$ and the axial form factor at zero recoil. We also use the inclusive $|V_{cb}|$ obtained using the heavy quark expansion based on QCD sum rules and the OPE. We compare the results with those for exclusive $|V_{cb}|$. We find that the standard model prediction of $varepsilon_K$ with exclusive $|V_{cb}|$ (lattice QCD results) is lower than the experimental value by 3.4$sigma$. However, we observe no tension in $varepsilon_K$ determined from inclusive $|V_{cb}|$." @default.
- W4300694087 created "2022-10-04" @default.
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- W4300694087 date "2015-11-03" @default.
- W4300694087 modified "2023-10-15" @default.
- W4300694087 title "Determination of $varepsilon_K$ using lattice QCD inputs" @default.
- W4300694087 doi "https://doi.org/10.48550/arxiv.1511.00969" @default.
- W4300694087 hasPublicationYear "2015" @default.
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