The D ∗ Dπ and B ∗ Bπ couplings from light-cone sum rules
Alexander Khodjamirian (Theoretische Physik 1, Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Straße 3, Siegen, D-57068, Germany); Blaženka Melić (Rudjer Boskovic Institute, Division of Theoretical Physics, Bijenička 54, Zagreb, HR-10000, Croatia); Yu-Ming Wang (School of Physics, Nankai University, Weijin Road 94, Tianjin, 300071, China); Yan-Bing Wei (School of Physics, Nankai University, Weijin Road 94, Tianjin, 300071, China, Physik Department T31, Technische Universität München, James-Franck-Straße 1, Garching, D-85748, Germany)
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 $$ \mathcal{O}\left({\alpha}_s\right) $$ 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 $$ {g}_{D^{\ast } D\pi}={14.1}_{-1.2}^{+1.3} $$ 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.