Light Cone Distribution Amplitudes of Heavy-Light Mesons and Quarkonia

TL;DR

This paper employs Dyson-Schwinger and Bethe-Salpeter equations to compute light-cone distribution amplitudes of heavy-light mesons and quarkonia, improving predictions for meson properties by incorporating flavor dependence.

Contribution

It introduces a flavor-dependent kernel in the Bethe-Salpeter equation, enhancing the accuracy of meson mass and decay constant calculations.

Findings

Improved meson mass predictions

Enhanced decay constant calculations

Reconstructed distribution amplitudes on the light front

Abstract

In this work we use the framework of the Dyson-Schwinger and Bethe-Salpeter equations to compute Light-Cone Distribution Amplitudes of heavy-light mesons and quarkonia. In studying the meson properties, we introduce a flavor dependence in the heavy-quark sector of the Bethe-Salpeter ladder kernel which yields improved numerical results for masses and leptonic decay constants of the pseudoscalar $D$, $D_s$, $B$ and $B_s$ mesons. Finally, the corresponding heavy-light Bethe-Salpeter amplitudes are projected onto the light front and we reconstruct the distribution amplitudes of the mesons in the full theory.