Study of Form Factors and Observables in $B_c^{-}\to {\bar{D}}^{(\ast )0}{\ell }^{-}{\bar{\nu }}_{\ell }$ and $B_c^{-}\to D^{(\ast )-}{\ell }^{+}{\ell }^{-}$ decays

Abstract

We investigate the decays $B_c^{-}\to {\bar{D}}^{(\ast )0}{\ell }^{-}{\bar{\nu }}_{\ell }$ and $B_c^{-}\to D^{(\ast )-}{\ell }^{+}{\ell }^{-}$ within the Standard Model (SM), employing perturbative QCD (pQCD) form factors that are sensitive to the wave functions of $B_c$ and $D^{(\ast )}$ mesons. Using lattice QCD inputs for $B\to D^{(\ast )}$ and $B_c\to D$ transitions, we extract the shape parameters of the meson wave functions and estimate the $q^2$-dependence of $B_c\to D^{\ast }$ form factors via heavy quark spin symmetry. We present predictions for branching fractions, lepton flavor violating observables, and perform a detailed angular analysis of the cascade decay $B_c^{-}\to D^{\ast -}(\to D^0{\pi }^{-}){\ell }^{+}{\ell }^{-}$, providing SM expectations for several angular observables.

arXiv comment54 pages, 15 figures, 30 tables. This updated version is in accordance with the final published version in JHEP

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