Calculation of $K\to \pi \pi$ decay amplitudes with improved Wilson fermion

Abstract

We present results of our trial calculation of the $K\to \pi \pi$ decay amplitudes with the improved Wilson fermion action. Calculations are carried out with $N_f=2+1$ gauge configurations generated with the Iwasaki gauge action and non-perturbatively $O(a)$-improved Wilson fermion action at $a=0.091\mathrm{fm}$, $m_{\pi }=280\mathrm{MeV}$ and $m_K=560\mathrm{MeV}(\sim 2m_{\pi })$ on a $32^3\times 64$ ($La=2.9\mathrm{fm}$) lattice.

Comments: 7 pages, 3 figures, presented at the 31st International Symposium on Lattice Field Theory (Lattice 2013), 29 July - 3 August 2013, Mainz, Germany (Added references in reference table of v1.)