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.

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

References in corpus (12)

• $B_s\to f_0(980)$ form factors and $B_s$ decays into $f_0(980)$
• Heavy-Quark Expansion for ${\bar{B}}_s\to D_s^{(\ast )}$ Form Factors and Unitarity Bounds beyond the $SU(3{)}_F$ Limit
• Semileptonic form factors for $B\to D^{\ast }\ell \nu$ at nonzero recoil from 2 + 1-flavor lattice QCD
• B \to K(K^*) missing energy in Unparticle physics
• S-wave ground state charmonium decays of $B_c$ mesons in the perturbative QCD approach
• Semileptonic decays $B/B_s\to (D^{(\ast )},D_s^{(\ast )})l{\nu }_l$ in the PQCD approach with the lattice QCD input
• B Physics at LHCb
• Next-to-leading-logarithm $k_T$ resummation for $B_c\to J/\psi$ decays
• Study of ${\bar{B}}_s\to K^{(\ast )}{\ell }^{+}{\ell }^{-}$ decays in the PQCD factorization approach with the lattice QCD input
• Study of the $b\to d\ell \ell$ transitions in the Standard Model and test of New Physics sensitivities
• A closer look at observables from exclusive semileptonic $B\to (\pi ,\rho )\ell {\nu }_{\ell }$ decays
• Correlated study on some $B_c\to P$ and $B_c\to S$ wave channels in light of new inputs