Spectroscopy of excited charmed mesons

TL;DR

This paper develops mass formulas for excited charmed mesons incorporating one-loop chiral corrections, using experimental and lattice data to validate the perturbative approach and providing insights for related heavy meson systems.

Contribution

It introduces a comprehensive formalism for calculating excited charmed meson masses with one-loop corrections, validated against experimental and lattice QCD data.

Findings

Mass formulas successfully incorporate one-loop corrections.

Validation against experimental and lattice data supports perturbative expansion.

Results applicable to excited bottom meson systems.

Abstract

We derive mass formulas for the $P$-wave orbitally excited $D^*_{0(s)}$, $D^\prime_{1(s)}$, $D_{1(s)}$, and $D^*_{2(s)}$ heavy charmed mesons including all effects from one-loop corrections that contribute at leading order in chiral expansion. In our formalism, the effects to first order in $m_q$, where $m_q$ is the light quark mass, and to first order in $m^{-1}_c$, where $m_c$ is the charm quark mass, and $m_q/m_c$ terms are considered. The experimental and lattice QCD results on the charmed meson spectra are employed to fix the large number of counterterms appearing in the effective chiral Lagrangian used in this work. This allows us to test the validity of perturbative expansion of our theory. The results presented in the current paper are useful to other applications of excited charmed and bottom meson systems.