Form factors for semileptonic $B\to \pi$, $B_s\to K$ and $B_s\to D_s$ decays

Abstract

We report on our determinations of $B\to \pi \ell \nu$, $B_s\to K\ell \nu$ and $B_s\to D_s\ell \nu$ semileptonic form factors. In addition we discuss the determination of $R$-ratios testing lepton-flavor universality and suggest an improved ratio. Our calculations are based on the set of 2+1 flavor domain-wall Iwasaki gauge field configurations generated by the RBC/UKQCD collaboration with three lattice spacings of $1/a=1.78$, $2.38$, and $2.79\text{GeV}$. We use the relativistic heavy quark action for $b$ quarks and charm quarks are simulated with the Möbius domain-wall fermion action.

11 pages, 7 figures. Lattice 2021 contribution 306 (combines 306 and 501)