Abstract
The rare processes B c → D s * J μ μ ¯ $$ {B}_c\to {D_{(s)}^{\left(*\right)}}_J\mu \overline{\mu} $$ , where D(s)(*)J stands for the final meson Ds0* (2317), Ds1(2460, 2536), Ds2* (2573), D0* (2400), D1(2420, 2430) or D2* (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 dBr/dQ2, ALPL, AFB and PL are calculated.