Heavy quark mass dependence of semileptonic form factors for B decays

Details Heavy quark mass dependence of semileptonic form factors for B decays Heavy quark mass dependence of semileptonic form factors for B decays

1997-11-13

arxiv.org/abs/hep-lat/9711021v1

Nucl.Phys.Proc.Suppl. 63 (1998) 380-382

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, latex source-file, 4 figures as epsf-file, uses espcrc2.sty. Talk presented by S. Tominaga at Lattice 97, Edinburgh,

Scientific paper

10.1016/S0920-5632(97)00776-7

We present our study of the dependence of the heavy-to-light semileptonic B decay form factors on the heavy-light meson mass $M_{PS}$. Simulations are made over a range of the heavy quark mass covering both the charm and bottom quarks using the $O(a)$-improved clover action at $\beta=5.9$ on a $16^3\times 40$ and $24^3\times 64$ lattice. We find that a weak dependence of form factors on $M_{PS}$ observed in previous studies in the region of charm quark persists up to the region of$b$ quark. The soft pion relation $f^0(q^2_{max})=f_B/f_\pi$ is examined and found to be largely violated.

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