Heavy quark mass dependence of semileptonic form factors for B decays

Abstract

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 $f^0(q_{max}^2)=f_B/f_{\pi }$ is examined and found to be largely violated.

arXiv comment3 pages, latex source-file, 4 figures as epsf-file, uses espcrc2.sty. Talk presented by S. Tominaga at Lattice 97, Edinburgh, Scotland, 22-26 Jul 1997

References in corpus (4)

• Semi-leptonic Decays of Heavy Flavours on a Fine Grained Lattice
• Lattice Calculation of D- and B-meson Semileptonic Decays, using the Clover Action at beta=6.0 on APE
• Form Factors for B -> pi l nu-bar_l and B -> K* gamma Decays on the Lattice
• Lattice Study of the Decay B^0-bar -> rho^+ l^- nu_l-bar: Model-Independent Determination of |V_{ub}|

Cited by in corpus (3)

• Heavy Quark Physics on the Lattice
• Status of Heavy Quark Physics on the Lattice
• ${\Lambda }_c\to \Lambda$ Form Factors in Lattice QCD