Exclusive $D_{s} \to (\eta,\eta^{\prime}) l \nu$ decays in light cone QCD

TL;DR

This paper calculates the form factors for semileptonic $D_s$ decays to $\

Contribution

It introduces a detailed light cone QCD sum rule calculation considering meson mixing and gluonic effects, providing new insights into decay form factors.

Findings

Results agree with experimental data

Branching ratios depend on mixing angles

Provides predictions consistent with other approaches

Abstract

Probing the $\bar ss$ content of the $\eta$ and $\eta'$ mesons and considering mixing between these states as well as gluonic contributions, the form factors responsible for semileptonic $D_s \to (\eta, \eta') l \nu$ transitions are calculated via light cone QCD sum rules. Corresponding branching fractions and their ratio for different mixing angles are also obtained. Our results are in a good consistency with experimental data as well as predictions of other nonperturbative approaches.