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

Author:

Jannis Herr, Carolin Schlosser, Marc Wagner

Keyword:

High Energy Physics - Lattice, High Energy Physics - Lattice (hep-lat)

journal:

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date:

2023-06-15 16:00:00

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.