The D ∗ Dπ and B ∗ Bπ couplings from light-cone sum rules

Abstract

Abstract We revisit the calculation of the strong couplings D ∗ Dπ and B ∗ Bπ from the QCD light-cone sum rules using the pion light-cone distribution amplitudes. The accuracy of the correlation function, calculated from the operator product expansion near the light-cone, is upgraded by taking into account the gluon radiative corrections to the twist-3 terms. The double spectral density of the correlation function, including the twist-2, 3 terms at O α s $$ \mathcal{O}\left({\alpha}_s\right) $$ and the twist-4 LO terms, is presented in an analytical form for the first time. This form allows us to use various versions of the quark-hadron duality regions in the double dispersion relation underlying the sum rules. We predict g D ∗ Dπ = 14.1 − 1.2 + 1.3 $$ {g}_{D^{\ast } D\pi}={14.1}_{-1.2}^{+1.3} $$ and g B ∗ Bπ = 30.0 − 2.4 + 2.6 $$ {g}_{B^{\ast } B\pi}={30.0}_{-2.4}^{+2.6} $$ when the decay constants of heavy mesons entering the light-cone sum rule are taken from lattice QCD results. We compare our results with the experimental value for the charmed meson coupling and with the lattice QCD calculations.

Keywords

• NLO Computations
• QCD Phenomenology