The $D^{\ast }D\pi$ and $B^{\ast }B\pi$ couplings from light-cone sum rules

Abstract

We revisit the calculation of the strong couplings $D^{\ast }D\pi$ and $B^{\ast }B\pi$ 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 $\mathcal{O}({\alpha }_s)$ 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 $g_{D^{\ast }D\pi }=14.1_{-1.2}^{+1.3}$ and $g_{B^{\ast }B\pi }=30.0_{-2.4}^{+2.6}$ 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.

arXiv comment41 pages, 3 figures, a few comments added, the version published in JHEP

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