Role of $B_c^{+}\to B_{s,d}^{(\ast )}\bar{\ell }{\nu }_{\ell }$ in the Standard Model and in the search for BSM signals

Abstract

The decays $B_c^{+}\to B_a\bar{\ell }{\nu }_{\ell }$ and $B_c^{+}\to B_a^{\ast }(\to B_a\gamma )\bar{\ell }{\nu }_{\ell }$, with $a=s,d$ and $\ell =e,\mu$, are studied in the Standard Model (SM) and in the extension based on the low-energy Hamiltonian comprising the full set of dimension-$6$ semileptonic $c\to s,d$ operators with left-handed neutrinos. Tests of $\mu /e$ universality are investigated using such modes. The heavy quark spin symmetry is applied to relate the relevant hadronic matrix elements and to exploit lattice QCD results on $B_c$ form factors. Optimized observables are selected, and the pattern of their correlations is studied to identify the effects of the various operators in the extended low-energy Hamiltonian.

arXiv commentLaTex, 15 pages, 17 figures. Figures and references added, version to appear in PRD

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• New physics and the tau polarization vector in $b\to c\tau {\bar{\nu }}_{\tau }$ decays
• New physics footprints in the angular distribution of $B_s\to D_s^{\ast }(\to D_s\gamma ,D_s\pi )\tau \nu$ decays
• Semileptonic $B_c$ decays to $P-$wave charmonium and the nature of ${\chi }_{c1}(3872)$
• $B_c$ to $A$ Transition Form Factors and Semileptonic Decays in Self-consistent Covariant Light-front Approach
• Nonleptonic $B_c$ decay rates from model independent relations
• The effects of polarization on the observables in the decay ${\Xi }_{cc}^{++}\to {\Xi }_c^{+}\bar{\ell }{\nu }_{\ell }$