$B \to πl\barν$ Form Factors with NRQCD Heavy Quark and Clover Light Quark Actions

Details $B \to πl\barν$ Form Factors with NRQCD Heavy Quark and Clover Light Quark Actions $B \to πl\barν$ Form Factors with NRQCD Heavy Quark and Clover Light Quark Actions

1999-11-29

arxiv.org/abs/hep-lat/9911036v1

Nucl.Phys.Proc.Suppl. 83 (2000) 325-327

Physics

High Energy Physics

High Energy Physics - Lattice

LATTICE99, 3 pages, 3 figures

Scientific paper

We report results on semileptonic $B\to\pi l\bar{\nu}$ decay form factors near $q^2_{\rm max}$ using NRQCD heavy quark and clover light quark actions and currents improved through $O(\alpha a)$. An inconsistency with the soft pion relation $f^0(q^2_{\rm max})= f_B/f_{\pi}$ found in a previous work is confirmed, and a possible solution with nonperturbative renormalization is discussed. We find that $f^+(q^2)$ is well described by the $B^*$ pole near $q^2_{\rm max}$, and its $1/M_B$ scaling is also consistent with the prediction of the pole dominance model.

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