Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1997-11-17
Phys.Rev. D58 (1998) 014502
Physics
High Energy Physics
High Energy Physics - Lattice
42 pages, Revised March 1998, REVTeX, 30 eps figures, uses psfig.sty
Scientific paper
10.1103/PhysRevD.58.014502
We present an exploratory lattice study of $B\to\pi$ semileptonic decay form factors using the nonrelativistic lattice QCD for heavy quark with Wilson light quark on a $16^3 \times 32$ quenched lattice at $\beta=5.8$. The matrix elements are calculated at eight values of heavy quark mass in a range of $1.5-8$ GeV and with three values of light quark mass. The $1/m_B$ corrections to the matrix elements are found to be fairly small except for the spatial component proportional to the $B$ meson momentum. We find that the $q^2$ dependence of the form factor $f^+(q^2)$ near $q_{max}^2$ becomes much stronger for larger heavy quark mass, which may suggest the increase of a pole contribution. We perform a model independent fit of the form factors and study whether the $q^2$ dependence is consistent with the pole contribution. Although the soft pion theorem predicts $f^0(q_{max}^2)=f_B/f_{\pi}$ in the chiral limit, we observe a significant violation of this relation.
Hashimoto Shigehira
Ishikawa Kei-Ichi
Matsufuru Hideo
Onogi Tetsuya
Yamada Namiha
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