Current status of $\varepsilon_K$ calculated with lattice QCD inputs

We present results for $\varepsilon_K$, the indirect CP violation parameter, calculated in the Standard Model using inputs from lattice QCD: the kaon bag parameter $\hat{B}_K$, and the CKM matrix element $V_{cb}$ from the axial current form factor for the exclusive decay $\bar{B}\to D^*\ell\barν$ at zero-recoil. In addition, we take the coordinates of the unitarity triangle apex $(\barρ,\barη)$ from the angle-only fit of the UTfit Collaboration and use $V_{us}$ to fix $λ$. In order to estimate the systematic error, we also use Wolfenstein parameters from the CKMfitter and UTfit. We find a $3.3(2)σ$ difference between $\varepsilon_K$ and experiment with exclusive $V_{cb}$. We report details of this preliminary result.

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