Carolin Riehl | Searcharxiv

arXiv2020

Hybrid static potentials in SU(2) lattice gauge theory at short quark-antiquark separations

We compute hybrid static potentials in SU(2) lattice gauge theory using a multilevel algorithm and three different small lattice spacings. The resulting static potentials, which are valid for quark-antiquark separations as small as 0.05 fm, are important e.g. when computing masses of heavy hybrid mesons in the Born-Oppenheimer approximation. We also discuss and exclude possible systematic errors from topological freezing, the finite lattice volume and glueball decays.

hep-lat↗

arXiv2019

Precision computation of hybrid static potentials in SU(3) lattice gauge theory

We perform a precision computation of hybrid static potentials with quantum numbers $Λ_η^ε= Σ_g^-,Σ_u^+,Σ_u^-,Π_g,Π_u,Δ_g,Δ_u$ using SU(3) lattice gauge theory. The resulting potentials are used to estimate masses of heavy $\bar{c} c$ and $\bar{b} b$ hybrid mesons in the Born-Oppenheimer approximation. Part of the lattice gauge theory computation, which we discuss in detail, is an extensive optimization of hybrid static potential creation operators. The resulting optimized operators are expected to be essential for future projects concerning the computation of 3-point functions as e.g. needed to study spin corrections, decays or the gluon distribution of heavy hybrid mesons.

hep-lat↗