Weak decays of unstable $b$-mesons

Abstract

We investigate the decays of the excited $(b\bar{q})$ mesons as probes of the short-distance structure of the weak $\Delta B=1$ transitions. These states are unstable under the electromagnetic or strong interactions although their widths are typically suppressed by phase space. As compared to the pseudoscalar $B$ meson, the purely leptonic decays of the vector $B^{\ast }$ are not chirally suppressed and are sensitive to different combinations of the underlying weak effective operators. An interesting example is $B_s^{\ast }\to {\ell }^{+}{\ell }^{-}$, which has a rate that can be accurately predicted in the standard model. The branching fraction is $\mathcal{B}\sim 10^{-11}$, irrespective of the lepton flavor and where the main uncertainty stems from the unmeasured and theoretically not-well known $B_s^{\ast }$ width. We discuss the prospects for producing this decay mode at the LHC and explore the possibility of measuring the $B_s^{\ast }\to \ell \ell$ amplitude, instead, through scattering experiments at the $B_s^{\ast }$ resonance peak. Finally we also discuss the charged-current $B_{u,c}^{\ast }\to \ell \nu$ decay which can provide complementary information on the $b\to u\ell \nu$ and $b\to c\ell \nu$ transitions.

21 pages

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• Towards establishing an abundant $B$ and $B_s$ spectrum up to the second orbital excitations
• Renormalisation of the tensor current in lattice QCD and the $J/\psi$ tensor decay constant
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• Wave Functions and Leptonic Decays of Bottom Mesons In the Relativistic Potential Model
• Study of the rare decays $B_{s,d}^{\ast }\to {\mu }^{+}{\mu }^{-}$
• Model independent analysis of $B^{\ast }\to P\ell {\bar{\nu }}_{\ell }$ decay processes
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• Probing new physics through $B_s^{\ast }\to {\mu }^{+}{\mu }^{-}$ decay
• Semi-leptonic decays of $B^{\ast }$, $B_s^{\ast }$, and $B_c^{\ast }$ with the Bethe-Salpeter method
• Study of ${\bar{B}}_{u,d,s}^{\ast }\to D_{u,d,s}^{\ast }V(V=D_{d,s}^{\ast -},K^{\ast -},{\rho }^{-})$ weak decays
• Study of the rare decays $B_{(}s,d{)}^{\ast }$ arrow $l^{+}{l}^{-}$ in Z' model
• $B_{s,d}^{\ast }\to {\mu }^{+}{\mu }^{-}$ and its impact on $B_{s,d}\to {\mu }^{+}{\mu }^{-}$
• Prospects for studies of $D^{\ast 0}\to {\mu }^{+}{\mu }^{-}$ and $B_{(s)}^{\ast 0}\to {\mu }^{+}{\mu }^{-}$ decays
• A unique discrimination between new physics scenarios in $b\to s{\mu }^{+}{\mu }^{-}$ anomalies
• $B^{\ast }$ $\to$ $\bar{D}D$ decays with perturbative QCD approach
• Lepton polarization asymmetry in $B_{(}s,d{)}^{\ast }$ arrow ${\mu }^{+}{\mu }^{-}$ with new Z' couplings
• Search for $B_c^{+}\to {\pi }^{+}{\mu }^{+}{\mu }^{-}$ decays and measurement of the branching fraction ratio $\mathcal{B}(B_c^{+}\to \psi (2S){\pi }^{+})/\mathcal{B}(B_c^{+}\to J/\psi {\pi }^{+})$
• QCD calculations of radiative heavy meson decays with subleading power corrections
• Search for $B_{(s)}^{\ast 0}\to {\mu }^{+}{\mu }^{-}$ in $B_c^{+}\to {\pi }^{+}{\mu }^{+}{\mu }^{-}$ decays
• $B_s^{\ast }\to l^{+}{l}^{-}$ decays in light of recent $B$ anomalies
• Flavor Dependent Effects on Rare Weak Decays of $B_c^{\ast }$ and $B_s^{\ast }$ Mesons