Lattice study of B{r_arrow}{pi} semileptonic decay using nonrelativistic lattice QCD
- Theoretical Physics Department, Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510 (United States)
- Department of Physics, Hiroshima University, Higashi-Hiroshima 739-8526 (Japan)
We present an exploratory lattice study of B{r_arrow}{pi} semileptonic decay form factors using nonrelativistic lattice QCD for a heavy quark with a Wilson light quark on a 16{sup 3}{times}32 quenched lattice at {beta}=5.8. The matrix elements are calculated at eight values of the heavy quark mass in the range of 1.5{endash}8thinspGeV and with three values of light quark mass. The 1/m{sub 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{sup 2} dependence of the form factor f{sup +}(q{sup 2}) near q{sub thinspmax}{sup 2} becomes much stronger for a larger heavy quark mass, which may suggest an increase in the pole contribution. We perform a model independent fit of the form factors and study whether the q{sup 2} dependence is consistent with the pole contribution. Although the soft pion theorem predicts f{sup 0}(q{sub thinspmax}{sup 2}) =f{sub B}/f{sub {pi}} in the chiral limit, we observe a significant violation of this relation. thinsp {copyright} {ital 1998} {ital The American Physical Society}
- OSTI ID:
- 636215
- Journal Information:
- Physical Review, D, Vol. 58, Issue 1; Other Information: PBD: Jul 1998
- Country of Publication:
- United States
- Language:
- English
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