Calculation of $K \to ����$ decay amplitudes with improved Wilson fermion in 2+1 flavor lattice QCD
| Autor: | Ishizuka, N., Ishikawa, K. I., Ukawa, A., Yoshi��, T. |
|---|---|
| Rok vydání: | 2014 |
| Předmět: | |
| DOI: | 10.48550/arxiv.1410.8237 |
| Popis: | We present results for the $K\to����$ decay amplitudes for both the $��I=1/2$ and $3/2$ channels. This calculation is carried out on 480 gauge configurations in $N_f=2+1$ QCD generated over 12,000 trajectories with the Iwasaki gauge action and non-perturbatively $O(a)$-improved Wilson fermion action at $a=0.091\,{\rm fm}$, $m_��=280\,{\rm MeV}$ and $m_K=580\,{\rm MeV}$ on a $32^3\times 64$ ($La=2.9\,{\rm fm}$) lattice. For the quark loops in the Penguin and disconnected contributions in the $I=0$ channel, the combined hopping parameter expansion and truncated solver techniques work very well for variance reduction. We obtain, for the first time with a Wilson-type fermion action, that ${\rm Re}A_0 = 60(36) \times10^{ -8}\,{\rm GeV}$ and ${\rm Im}A_0 =-67(56) \times10^{-12}\,{\rm GeV}$ for a matching scale $q^* =1/a$. The dependence on the matching scale is weak. 7 pages, 3 figures, Contribution to the 32nd International Symposium on Lattice Field Theory (Lattice 2014), 23-28 June 2014, Columbia University, New York, NY, USA |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|