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

We compute gluelump masses and mass differences using SU(3) lattice gauge theory. We study states with total angular momentum up to <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:mi>J</a:mi><a:mo>=</a:mo><a:mn>3</a:mn></a:mrow></a:math>, parity <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mi>P</c:mi><c:mo>=</c:mo><c:mo>+</c:mo><c:mo>,</c:mo><c:mo>−</c:mo></c:math>, and charge conjugation <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:mi>C</e:mi><e:mo>=</e:mo><e:mo>+</e:mo><e:mo>,</e:mo><e:mo>−</e:mo></e:math>. Computations on four ensembles with rather fine lattice spacings in the range from 0.040 to 0.093 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.