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

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arxiv 2403.17501 v1 pith:ZHAAT6CH submitted 2024-03-26 hep-ph hep-exhep-lat

classification hep-phhep-exhep-lat
keywords decaysrightarrowmodel-independentdescriptionsemileptonicadditionapplybranching
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

In this contribution we present a novel, model-independent description of semileptonic $B\rightarrow D \pi \ell \nu$ 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 $B\rightarrow D \pi \ell \nu$ decays, but also rule out the hypothesis that the gap between the inclusive $B\rightarrow X\ell\nu$ branching fraction and the sum over exclusive channels is made up predominantly by $B\rightarrow D^{(\ast)} \eta \ell \nu$ decays.

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