$D \rightarrow a_1, f_1$ transition form factors and semileptonic decays via 3-point QCD sum rules

TL;DR

This paper calculates the transition form factors for D meson decays into axial vector mesons using 3-point QCD sum rules, considering meson quark contents and mixing, and predicts semileptonic decay branching ratios for future experimental tests.

Contribution

It provides detailed calculations of D to axial vector meson transition form factors with quark content and mixing effects, offering new predictions for semileptonic decay branching ratios.

Findings

Calculated form factors for D to a1(1260), f1(1285), f1(1420) transitions.

Predicted branching ratios for semileptonic decays involving these mesons.

Considered meson quark content and mixing effects in the calculations.

Abstract

By using the 3-point QCD sum rules, we calculate the transition form factors of $D$ decays into the spin triplet axial vector mesons $a_1(1260)$, $f_1(1285) $, $f_1(1420)$. In the calculations, we consider the quark contents of each meson in detail. In view of the fact that the isospin of $a_1(1260)$ is one, we calculate the $D^+ \rightarrow a_1^0 (1260)$ and $D^0 \rightarrow a_1^- (1260)$ transition form factors separately. In the case of $ f_1(1285), f_1(1420)$, the mixing between light flavor $SU(3)$ singlet and octet is taken into account. Based on the form factors obtained here, we give predictions for the branching ratios of relevant semileptonic decays, which can be tested in the future experiments.