B to rho ell nu form factors in lattice QCD

TL;DR

This paper reports lattice QCD calculations of B to rho semileptonic decay form factors, providing decay rate estimates crucial for understanding weak interactions and CKM matrix elements.

Contribution

It presents quenched lattice QCD results for B to rho decay form factors using improved actions and extrapolation techniques for the bottom quark mass.

Findings

Decay rate   4.9^{+12}_{-10}{+0}_{-14})   10^{12} s^-1

Form factors calculated at two lattice spacings with improved actions

Results aid in extracting CKM matrix elements from experimental data

Abstract

We present results from quenched lattice QCD for the form factors for the decay $B\to\rho l\nu$. The calculations are performed using a nonperturbatively improved action and operators at two values of the lattice spacing. The bottom quark mass is reached by extrapolation from simulations performed with heavy quark masses around the charm mass. Our primary result is for the partially integrated decay rate $\Gamma_{PI}$ over the range $12.7\gev^2 < q^2 < 18.2\gev^2$: \Gamma_PI = (4.9^{+12}_{-10}{+0}_{-14}) X 10^12 s^-1