arXiv:hep-lat/9809152·v1·High Energy Physics — Lattice

Scaling behavior of $f_{B}$ with NRQCD

JLQCD Collaboration: K-I. Ishikawa🇯🇵 · N. Yamada🇯🇵 · S. Aoki🇯🇵 · M. Fukugita🇯🇵 · S. Hashimoto🇯🇵 · N. Ishizuka🇯🇵 · Y. Iwasaki🇯🇵 · K. Kanaya🇯🇵 · T. Kaneda🇯🇵 · S. Kaya🇯🇵 · Y. Kuramashi🇯🇵 · H. Matsufuru🇩🇪

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Abstract

We investigate the scaling behavior of the $B$ meson decay constant $f_{B}$ and $f_{B_{s}}$ at $β$ $=$ $5.7, 5.9, 6.1$ , employing the NRQCD heavy quark action and the clover light quark action. Mixing effect from dimension-4 operator in the heavy-light axial-vector current is studied, and we find that the $a$ dependence of $f_{B}$ is significantly reduced. Our preliminary result for the decay constants in the quenched approximation is $f_{B}$ $=$ $162 (_{- 18}^{+ 35})$ MeV, $f_{B_{s}}$ $=$ $190 (_{- 19}^{+ 40})$ MeV, and $f_{B_{s}} / f_{B}$ $=$ $1.18 (_{- 6}^{+ 6})$ .