The rare semi-leptonic $B_c$ decays involving orbitally excited final mesons

TL;DR

This paper investigates rare semi-leptonic B_c decays to orbitally excited mesons within the Standard Model, calculating decay rates and asymmetries using the Bethe-Salpeter approach and considering various quantum contributions.

Contribution

It provides a detailed theoretical analysis of B_c decays to excited mesons, including hadronic matrix elements and gauge-invariant conditions, which advances understanding of these rare processes.

Findings

Decay observables are computed for various meson final states.

The Bethe-Salpeter approach effectively evaluates hadronic matrix elements.

Multiple quantum contributions are considered in the decay analysis.

Abstract

The rare processes $B_c\to D_{(s)J} ^{(*)}\mu\bar{\mu}$, where $D_{(s)J}^{(*)}$ stands for the final meson $D_{s0}^*(2317)$, $D_{s1}(2460,2536)$,~$D_{s2}^*(2573)$, $D_0^*(2400)$, $D_{1}(2420,2430)$ or~$D_{2}^*(2460)$, are studied within the Standard Model. The hadronic matrix elements are evaluated in the Bethe-Salpeter approach and furthermore a discussion on the gauge-invariant condition of the annihilation hadronic currents is presented. Considering the penguin, box, annihilation, color-favored cascade and color-suppressed cascade contributions, the observables $\text{d}Br/\text{d}Q^2$, $A_{LPL}$, $A_{FB}$ and $P_L$ are calculated.