Form factors for semileptonic D decays

TL;DR

This paper investigates the form factors in semileptonic D-meson decays using chiral quark models, exploring the LEET limit and incorporating light vector mesons, with comparisons to existing data and predictions.

Contribution

It introduces a comprehensive analysis of D-meson decay form factors within chiral quark models, including vector mesons and LEET, and compares results with lattice and sum rule calculations.

Findings

Validated form factors against existing data

Explored LEET limit applicability for D decays

Provided new predictions for decay amplitudes

Abstract

We study the form factors for semileptonic decays of $D$-mesons. That is, we consider the matrix element of the weak left-handed quark current for the transitions $D \rightarrow P$ and $D \rightarrow V$, where $P$ and $V$ are light pseudoscalar or vector mesons, respectively. Our motivation to perform the present study of these form factors are future calculations of non-leptonic decay amplitudes. We consider the form factors within a class of chiral quark models. Especially, we study how the Large Energy Effective Theory (LEET) limit works for $D$-meson decays. Compared to previous work we also introduce light vector mesons $V = \rho, K^*,...$ within chiral quark models. In order to determine some of the parameters in our model, we use existing data and results based on some other methods like lattice calculations, light-cone sum rules, and heavy-light chiral perturbation theory. We also obtain some predictions within our framework.