A test of HHCPT using magnetic moments of heavy baryons

TL;DR

This paper calculates the first non-trivial chiral corrections to the magnetic moments of heavy baryons using Heavy Hadron Chiral Perturbation Theory, providing theoretical relations among their magnetic moments.

Contribution

It introduces the calculation of chiral corrections to heavy baryon magnetic moments up to specific orders, advancing the theoretical understanding in this area.

Findings

Chiral corrections to heavy baryon magnetic moments are computed.

Relations among magnetic moments of different heavy baryons are established.

Renormalization of chiral loops is discussed.

Abstract

First non-trivial chiral corrections to the magnetic moments of triplet (T) and sextet ($S^{(*)}$) heavy baryons are presented using Heavy Hadron Chiral Perturbation Theory. The contributions are calculated up to order ${\cal O}(1/(m_Q \Lambda_\chi^2))$ for T-baryons and up to order ${\cal O}(1/\Lambda_\chi^2)$ for $S^{(*)}$-baryons. The renormalization of the chiral loops is discussed and relations among the magnetic moments of different hadrons are provided.