Next-to-leading order QCD corrections to the form factors of B to scalar meson decays

Abstract

Abstract We calculate the next-to-leading order QCD corrections to B to scalar meson form factors from QCD light-cone sum rules with B meson light-cone distribution amplitudes. We demonstrate that the B meson-to-vacuum correlation functions can be factorized into the convolution of short-distance coefficients and light-cone distribution amplitudes at the one-loop level and find that only ϕ B + $$ {\phi}_B^{+} $$ (ω, μ) contributes to the form factors. We then employ the z-parameterization combined with constraints from strong coupling constants to reconstruct the q 2 dependence of the form factors in the whole kinematic allowed regions. Due to the large cancellations between the hard functions and the jet functions, the next-to-leading order results show a modest increase of approximately 5% compared to the leading order results. Based on the results of form factors, we predict the branching ratios of semi-leptonic B → S ℓ ν ¯ ℓ $$ S\ell {\overline{\nu}}_{\ell } $$ and B → S ν ℓ ν ¯ ℓ $$ S{\nu}_{\ell }{\overline{\nu}}_{\ell } $$ processes, as well as several angular observables, such as forward-backward asymmetries, “flat terms” and lepton polarization asymmetries. We compare these results with calculations from other methods. Experimental verification of these results is required in future experiments.

Keywords

• Bottom Quarks
• Factorization
• Renormalization Group
• Higher-Order Perturbative Calculations
• Semi-Leptonic Decays