PoS - Proceedings of Science
Volume 430 - The 39th International Symposium on Lattice Field Theory (LATTICE2022) - Weak Decays and Matrix Elements
A lattice QCD study of the $B\to\pi\pi\ell\bar{\nu}$ transition
L. Leskovec*, S. Meinel, M. Petschlies, J. Negele, S. Paul, A. Pochinsky and G. Rendón
Full text: pdf
Pre-published on: March 15, 2023
Published on: April 06, 2023
$V_{ub}$ is the smallest and least known of all CKM matrix elements; the community currently determines its magnitude primarily through the exclusive process $B\to\pi\ell\bar{\nu}$. Here we present our progress toward a lattice QCD determination of the $V_{ub}$ matrix element from a novel transition -- the $B\to\pi\pi\ell\bar{\nu}$ process, where the $\pi\pi$ system is in a $P$ wave and scattering features the $\rho(770)$ resonance as an enhancement. We perform our calculation on $N_f=2+1$ isotropic clover fermions on a lattice of $L\approx 3.6$ fm and a pion mass of $\approx 320$ MeV; for the $b$-quark we use the anisotropic clover action. After a brief overview of the theoretical framework, we will discuss some preliminary results.
DOI: https://doi.org/10.22323/1.430.0416
How to cite

Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating very compact bibliographies which can be beneficial to authors and readers, and in "proceeding" format which is more detailed and complete.

Open Access
Creative Commons LicenseCopyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.