Revisiting D-meson twist-2, 3 distribution amplitudes* *Supported in part by the National Natural Science Foundation of China (12265009, 12265010), the Project of Guizhou Provincial Department of Science and Technology (ZK[2021]024, ZK[2023]142), the Project of Guizhou Provincial Department of Education (KY[2021]030) and the Chongqing Graduate Research and Innovation Foundation (ydstd1912)

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.