Masses of doubly charmed baryons in the extended on-mass-shell renormalization scheme

TL;DR

This paper calculates the masses of doubly charmed baryons using the extended on-mass-shell renormalization scheme, comparing with heavy baryon chiral perturbation theory, and fits lattice data to predict baryon masses.

Contribution

It introduces the use of the EOMS scheme for baryon mass corrections and demonstrates its advantages over the heavy baryon approach, including parameter determination and mass predictions.

Findings

EOMS scheme includes more terms than heavy baryon approach.

Parameters are fitted from lattice QCD data.

Predicted masses for $\\Xi_{cc}$ and $\\\Omega_{cc}$ baryons.

Abstract

In this work, we investigate the mass corrections of the doubly charmed baryons up to $N^2LO$ in the extended-on-mass-shell (EOMS) renormalization scheme, comparing with the results of heavy baryon chiral perturbation theory. We find that the terms from the heavy baryon approach are a subset of those obtained in the EOMS scheme. By fitting the lattice data, we can determine the parameters $\tilde{m}$, $\alpha$, $c_1$ and $c_7$ from the Lagrangian, while in the heavy baryon approach no information on $c_1$ can be obtained from the baryons mass. Correspondingly, the masses of $m_{\Xi_{cc}}$ and $m_{\Omega_{cc}}$ are predicted, in the EOMS scheme, extrapolating the results from different values of the charm quark and the pion masses of the lattice QCD calculations.