A symmetry-guided phenomenological model organizes leading current-current operators for charged-current decays of heavy-light mesons and reproduces heavy-quark scaling relations for decay constants and form factors.
Semileptonic $B_c$ Decay and Heavy Quark Spin Symmetry
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abstract
Semileptonic decay of the $B_c$ meson is studied in the heavy quark limit. The six possible form factors for $B_c \rightarrow B_s (B^0),B_s^* (B^{*0})$ semileptonic decay are determined by two invariant functions. Only one of these functions contributes at zero recoil, where it is calculable to lowest order in an operator product expansion in terms of the meson decay constant $f_B$ and the $B_c$ wavefunction. A similar result is found for $B_c \rightarrow D^0,D^{*0}$ and for $B_c\rightarrow\eta_c,J/\psi$ semileptonic decay for a restricted kinematic region. Semileptonic $B_c$ decay provides a means for determining the KM mixing angle $|V_{ub}|$.
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A quark-diquark formalism extracts effective masses and couplings from known heavy baryon data to predict spectra across singly, doubly, and triply heavy sectors with two scenarios and a mass-dependent binding term.
Computes pQCD form factors for B_c to D(*) transitions via lattice inputs and heavy quark symmetry, then predicts branching fractions and angular observables for semileptonic and rare dilepton decays.
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