Model-independent description of $B\to D\pi \ell \nu$ decays

Abstract

In this contribution we present a novel, model-independent description of semileptonic $B\to D\pi \ell \nu$ decays. In addition, we discuss recent developments in the understanding of coupled-channel $D\pi$-$D\eta$-$D_{s}K$ S-wave scattering and, for the first time, apply them to semileptonic decays. We not only obtain model-independent predictions for kinematic distributions in $B\to D\pi \ell \nu$ decays, but also rule out the hypothesis that the gap between the inclusive $B\to X\ell \nu$ branching fraction and the sum over exclusive channels is made up predominantly by $B\to D^{(\ast )}\eta \ell \nu$ decays.

Comments: Presented at the 12th Workshop on the CKM Unitarity Triangle, 18-22 September 2023, Santiago de Compostela