Decays of open charmed mesons in the extended Linear Sigma Model

TL;DR

This paper extends the linear Sigma Model to include charm quarks, enabling the calculation of open charmed meson decays, which align with experimental data despite some uncertainties.

Contribution

The study introduces a four-flavor extension of the extended linear Sigma Model, incorporating charm quarks with minimal additional parameters for decay predictions.

Findings

Decay widths of open charmed mesons are compatible with experimental data.

Model successfully incorporates charm quark effects into the chiral symmetry framework.

Theoretical uncertainties remain large but do not contradict experimental results.

Abstract

We enlarge the so-called extended linear Sigma model (eLSM) by including the charm quark according to the global $U(4)_r\times U(4)_l$ chiral symmetry. In the eLSM, besides scalar and pseudoscalar mesons, also vector and axial-vector mesons are present. Almost all the parameters of the model were fixed in a previous study of mesons below 2 GeV. In the extension to the four-flavor case, only three additional parameters (all of them related to the bare mass of the charm quark) appear. We compute the (OZI-dominant) strong decays of open charmed mesons. The results are compatible with the experimental data, although the theoretical uncertainties are still large.