Decuplet baryon masses in covariant baryon chiral perturbation theory

TL;DR

This paper analyzes decuplet baryon masses using covariant baryon chiral perturbation theory up to high order, fitting lattice QCD data and predicting sigma terms, demonstrating good theoretical and experimental agreement.

Contribution

It provides a comprehensive next-to-next-to-next-to-leading order analysis of decuplet baryon masses with a simultaneous fit to multiple lattice QCD datasets, including finite-volume effects.

Findings

Good description of lattice QCD and experimental data at high order

Next-to-leading order fits lattice data well but slightly misses experimental data

Predicted pion- and strangeness-sigma terms of decuplet baryons

Abstract

We present an analysis of the lowest-lying decuplet baryon masses in the covariant baryon chiral perturbation theory with the extended-on-mass-shell scheme up to next-to-next-to-next-to-leading order. In order to determine the $14$ low-energy constants, we perform a simultaneous fit of the $n_f=2+1$ lattice QCD data from the PACS-CS, QCDSF-UKQCD, and HSC Collaborations, taking finite-volume corrections into account self-consistently. We show that up to next-to-next-to-next-to-leading order one can achieve a good description of the lattice QCD and experimental data. Surprisingly, we note that the current lattice decuplet baryon masses can be fitted rather well by the next-to-leading order baryon chiral perturbation theory, which, however, misses the experimental data a little bit. Furthermore, we predict the pion- and strangeness-sigma terms of the decuplet baryons by use of the Feynman-Hellmann theorem.