First Estimates of Nonleptonic $B_c \to AT$ Weak Decays

Abstract

We obtain the first estimates of branching ratios for the weak decays of $B_c$ meson decaying to two orbitally excited mesons namely, axial-vector meson ($A$) and tensor meson ($T$), in the final state. We calculate $B_c \to T$ transition form factors using the Isgur-Scora-Grinstein-Wise II framework and consequently predict branching ratios of $ B_c \to AT $ decays in Cabibbo-Kobayashi-Maskawa favored and suppressed modes.