Probing the structure of the $B$ meson with $B\to\ell\ell\ell'ν$
We consider the decay $B\to\ell\ell\ell^{\prime}ν$ in QCD factorization for the case of non-zero (but small) $q^2$, taking into account leading power contributions at NLL in $\mathcal{O}(α_s)$ and next-to-leading power corrections at $\mathcal{O}(α_s^0)$. We further incorporate soft contributions obtained from light-cone sum rules, extrapolated from the Euclidean to physical region using once-subtracted dispersion relations. We restrict ourselves to the case $\ell\neq\ell'$ as otherwise the same sign $\ell$ and $\ell'$ cannot be distinguished. We study the sensitivity of the results to the leading moment of the $B$-meson distribution amplitude and discuss the potential to extract this quantity at LHCb and the Belle II experiment.