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As an update to our previous calculation for spin $J\leq2$, we present theangular moments for exclusive $\overline{B} \to X_J \ell_1 \ell_2$, where$\ell_1$ is a charged massless lepton and $\ell_2$ is a charged or neutralmassless lepton, and $X_J$ is a mesonic system with spin $J\leq4$. The expectedapplications include higher resonances in the $[K\pi]$ system in$\overline{B}^0 \to K^- \pi^+ \mu^- \mu^+$ at LHCb in Run~II, and in the $[\pi\pi]$ system for $ \overline{B} \to \pi \pi \ell^- \bar{\nu}_\ell$ at Belle~II.For the $J\leq2$ case, we also provide a set of consistency relations among themeasured moments observables and validate them against the latest measurementsfrom LHCb.

Angular analyses of exclusive $\overline{B} \to X_J \ell_1 \ell_2$ decays for spin $J \leq 4$