Speaker
Description
$V_{ub}$ is the smallest and least known of all CKM matrix elements; the community determines its current value primarily through the exclusive process $B\to\pi\ell\nu$. This talk will present our progress toward a lattice QCD determination of the $V_{ub}$ matrix element from a novel transition - $B \to \pi\pi\ell\nu$ process, where the $\pi\pi$ rescattering features the $\rho(770)$ resonance as an enhancement. We perform our calculation on $N_f=2+1$ clover fermions on a lattice of $L=3.6$ fm and a pion mass of $320$ MeV. After a brief overview of the theoretical framework, we will discuss some preliminary results.