Doubly heavy baryons in Born-Oppenheimer EFT

TL;DR

This paper advances the theoretical computation of doubly heavy baryon spectra using effective field theory, lattice QCD, and an effective string theory extension, providing new parametrizations and spectrum predictions.

Contribution

It introduces a novel parametrization of hyperfine potentials based on an interpolation between short- and long-distance regimes, extending effective string theory to include fermion fields.

Findings

Computed doubly heavy baryon spectrum with hyperfine contributions.

Proposed a new parametrization for hyperfine potentials.

Extended effective string theory to include fermion fields.

Abstract

We report on the recent progress on the computation of the doubly heavy baryon spectrum in effective field theory. The effective field theory is built upon the heavy-quark mass and adiabatic expansions. The potentials can be expressed as NRQCD Wilson loops with operator insertions. These are nonperturbative objects and so far only the one corresponding to the static potential has been computed with lattice QCD. We review the proposal for a parametrization of the potentials based in an interpolation between the short- and long-distance regimes. The long-distance description is obtained with a newly proposed Effective String Theory which coincides with the previous ones for pure gluodynamics but it is extended to contain a fermion field. We show the doubly heavy baryon spectrum with hyperfine contributions obtained using these parametrizations for the hyperfine potentials.