Hyperfine splitting in the bottomonium system on the lattice and in the continuum

TL;DR

This paper revises the analysis of radiative corrections to the bottomonium hyperfine splitting within lattice non-relativistic QCD at next-to-leading order, achieving better agreement with experimental and theoretical results.

Contribution

It provides a next-to-leading order correction analysis of hyperfine splitting in bottomonium on the lattice, resolving previous discrepancies.

Findings

Good agreement with experimental measurements

Alignment with perturbative and lattice QCD predictions

Improved theoretical understanding of bottomonium hyperfine splitting

Abstract

The latest experimental measurements of the hyperfine splitting $E_{\rm{hfs}}=M_{\Upsilon(1 S)}-M_{\eta_b(1 S)}$ done by the Belle collaboration and the perturbative and lattice QCD predictions show a tension with the current extraction within lattice non-relativistic QCD. In this talk we revise the analysis of radiative corrections to the bottomonium hyperfine splitting within lattice non-relativistic QCD at the next-to-leading order. The result of the analysis is in good agreement with the perturbative and lattice QCD result as well as the direct measurement.