Doubly Heavy Baryons and Quark-Diquark Symmetry in Quenched and Partially Quenched Chiral Perturbation Theory

TL;DR

This paper extends chiral Lagrangian frameworks to quenched and partially quenched QCD, providing formulas for mass extrapolation and hyperfine splittings of doubly heavy baryons, with implications for lattice QCD simulations.

Contribution

It introduces a heavy quark-diquark symmetric chiral Lagrangian applicable to quenched and partially quenched theories, deriving new extrapolation formulas for baryon properties.

Findings

Hyperfine splittings are insensitive to chiral corrections.

Derived formulas facilitate lattice QCD mass extrapolations.

Electromagnetic transition moments are computed for partially quenched theories.

Abstract

We extend the chiral Lagrangian with heavy quark-diquark symmetry to quenched and partially quenched theories. These theories are used to derive formulae for the chiral extrapolation of masses and hyperfine splittings of doubly heavy baryons in lattice QCD simulations. A quark-diquark symmetry prediction for the hyperfine splittings of heavy mesons and doubly heavy baryons is rather insensitive to chiral corrections in both quenched and partially quenched QCD. Extrapolation formulae for the doubly heavy baryon electromagnetic transition moments are also determined for the partially quenched theory.