Gluelump masses and mass splittings from SU(3) lattice gauge theory

TL;DR

This paper calculates gluelump masses and their differences using SU(3) lattice gauge theory, providing continuum extrapolations and connecting to heavy hybrid meson studies.

Contribution

It presents new lattice QCD results for gluelump masses with continuum extrapolation and discusses their relevance for heavy hybrid meson research.

Findings

Computed gluelump masses for states with J up to 3

Performed continuum extrapolations of mass differences

Connected lattice results to the Renormalon Subtracted scheme

Abstract

We compute gluelump masses and mass differences using SU(3) lattice gauge theory. We study states with total angular momentum up to $J = 3$, parity $P = +,-$ and charge conjugation $C = +,-$. Computations on four ensembles with rather fine lattice spacings in the range $0.040 \, \text{fm} \ldots 0.093 \, \text{fm}$ allow continuum extrapolations of gluelump mass differences. We complement existing results on hybrid static potentials with the obtained gluelump masses, which represent the limit of vanishing quark-antiquark separation. We also discuss the conversion of lattice gluelump masses to the Renormalon Subtracted scheme, which is e.g. important for studies of heavy hybrid mesons in the Born-Oppenheimer approximation.