Semileptonic D(s) → Aℓ+ν and nonleptonic D → K1(1270, 1400)π decays in LCSR

Abstract

In this work, the transition form factors are calculated for the semileptonic D(s) → Aℓ+ν where A = a1, b1, K1(1270, 1400), i.e. , , and in the frame work of the light-cone QCD sum rules (LCSR) approach up to the twist-3 distribution amplitudes (DAs). Since the masses of these axial vector mesons are comparable to the charm quark mass, we keep out in our calculations all terms including mA/mc (all orders) in expansion of two-parton DAs. Branching ratio values are estimated for the semileptonic D(s) → Aℓν and nonleptonic D→K1 (1270, 1400) π decays. A comparison is also made between our results and predictions of other methods and the existing experimental values.