Lattice study of B{r_arrow}{pi} semileptonic decay using nonrelativistic lattice QCD

Journal Article · Wed Jul 01 04:00:00 EDT 1998 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.58.014502· OSTI ID:636215

Hashimoto, S ^[1]; Ishikawa, K; Matsufuru, H; Onogi, T; Yamada, N ^[2]

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1. Theoretical Physics Department, Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510 (United States)
2. 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, Journal Name: Physical Review, D Journal Issue: 1 Vol. 58; ISSN 0556-2821; ISSN PRVDAQ
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
B MESONS
FORM FACTORS
LATTICE FIELD THEORY
MATRIX ELEMENTS
MOMENTUM TRANSFER
PIONS
QUANTUM CHROMODYNAMICS
QUARKS
SEMILEPTONIC DECAY