Revisiting D-meson twist-2, 3 distribution amplitudes*

Abstract

Abstract Owing to the significant difference between the experimental measurements and the theoretical predictions of the standard model (SM) for the value of of the semileptonic decay , researchers speculate that this decay may be evidence of new physics beyond the SM. Usually, the D-meson twist-2, 3 distribution amplitudes (DAs) , , and are the main error sources when perturbative QCD factorization and light-cone QCD sum rules are used to study . Therefore, it is important to obtain more reasonable and accurate behaviors for these DAs. Motivated by our previous work [Phys. Rev. D 104, no.1, 016021 (2021)] on pionic leading-twist DA, we revisit D-meson twist-2, 3 DAs , , and . New sum rule formulae for the -moments of these three DAs are suggested for obtaining more accurate values. The light-cone harmonic oscillator models for the DAs are improved, and their parameters are determined by fitting the values of ξ -moments via the least squares method.