Chiral corrections to the masses of the doubly heavy baryons

TL;DR

This paper calculates the masses of doubly heavy baryons using heavy baryon chiral perturbation theory up to third order, fitting lattice QCD data to refine low-energy constants and compare with existing models.

Contribution

It provides a detailed third-order chiral correction analysis for doubly heavy baryon masses, incorporating lattice QCD data to determine key constants.

Findings

Mass predictions for doubly bottom and charmed bottom baryons.

Agreement with some existing theoretical models.

Refined low-energy constants from lattice QCD data.

Abstract

We study the masses of the doubly bottom baryons and the charmed bottom baryons up to $\mathcal{O}\left(p^{3}\right)$ in heavy baryon chiral perturbation theory. For the low-energy constants, $g_{A}$ was determined in the quark model, and we fit to the lattice QCD data to determine $m_{0}$, $c_{1}$, and $c_{7}$. We show the numerical results up to $\mathcal{O}\left(p^{3}\right)$, and our results are compared with other theoretical results.