First study of $B \to π$ semileptonic decay form factors using NRQCD

Details First study of $B \to π$ semileptonic decay form factors using NRQCD First study of $B \to π$ semileptonic decay form factors using NRQCD

1997-11-15

arxiv.org/abs/hep-lat/9711028v1

Nucl.Phys.Proc.Suppl. 63 (1998) 368-370

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, 5 ps figures, uses espcrc2.sty and epsf.sty, Talk presented at Lattice'97

Scientific paper

10.1016/S0920-5632(97)00772-X

We present a quenched calculation of the form factors of the semileptonic weak decay $B \to \pi l \bar{\nu}$ with $O(1/m_Q)$ NRQCD heavy quark and Wilson light quark on a $16^3 \times 32$ lattice at $\beta=5.8$. The form factors are evaluated at six heavy quark masses, in the range of $m_Q \sim 1.5-8$ GeV. $1/m_Q$ dependence of matrix elements are investigated and compared with HQET predictions. We observe clear signal for the form factors near $q^2_{max}$, even at the $b$-quark mass range. $f^0(q^2_{max})$ is compared with $f_B/f_{\pi}$ based on the soft pion theorem and significant difference is observed.

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