# The 35th International Symposium on Lattice Field Theory

18-24 June 2017
Palacio de Congresos
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# Contribution Parallel

Seminarios 1+2
Standard Model Parameters and Renormalization

# Calculation of $B_{K}$ with Wilson fermion using gradient flow

## Speakers

• Mr. Asobu SUZUKI

## Content

$B_{K}$ is a parameter which is related with the Kaon mixing and is one of the targets of Lattice QCD. Naive calculation of $B_{K}$ with the Wilson fermion is difficult because the chiral symmetry is explicitly broken. In this talk we shall present on our calculation of $B_{K}$ with the Wilson fermion by applying the gradient flow method both to the gauge and quark fields. Our study is based on a fact that the chiral symmetry is restored if we apply the gradient flow to the Wilson fermion and take the continuum limit without bothering the UV divergence. This property is already observed for practical numerical simulation in Phys. Rev. D 95, 054502 (2017), where the chiral Ward-Takahashi relation is effectively restored for the topological susceptibility. In our study we expect the same good property even for the four fermi operators used for $B_{K}$.