Relativistic Bottomonium Spectrum from Anisotropic Lattices

TL;DR

This paper presents a relativistic lattice QCD calculation of the bottomonium spectrum using anisotropic lattices, achieving continuum extrapolation and systematic error analysis beyond non-relativistic methods.

Contribution

It provides the first relativistic quenched bottomonium spectrum calculation with continuum extrapolation from multiple lattice spacings and anisotropies.

Findings

Results agree with non-relativistic simulations within errors.

Systematic errors are thoroughly investigated.

Continuum limit achieved with multiple lattice spacings.

Abstract

We report on a first relativistic calculation of the quenched bottomonium spectrum from anisotropic lattices. Using a very fine discretisation in the temporal direction we were able to go beyond the non-relativistic approximation and perform a continuum extrapolation of our results from five different lattice spacings (0.04-0.17 fm) and two anisotropies (4 and 5). We investigate several systematic errors within the quenched approximation and compare our results with those from non-relativistic simulations.