The Strange Quark Mass From Finite Energy Sum Rules

TL;DR

This paper accurately determines the strange quark mass using finite energy sum rules and the correlator of the divergence of the strange vector current, achieving results consistent with theoretical and experimental data.

Contribution

It introduces a precise method employing finite energy sum rules to determine the strange quark mass, with improved agreement between OPE and hadronic representations.

Findings

Strange quark mass $m_s=115 ext{ MeV}$ at 2 GeV scale.

Good match between OPE and hadronic representations.

Uncertainty contributions from theory and experiment are comparable.

Abstract

The strange quark mass is determined from a study of the correlator of the divergence of the strange vector current using a family of finite energy sum rules recently shown to be very accurately satisfied in the isovector vector channel. It is shown that the match between the OPE and hadronic representations for the sum rules employed is extremely good once one fixes the overall scale, (m_s-m_u), which normalizes the OPE side. A value $m_s=115\pm 8$ MeV at a scale 2 GeV, corresponding to $m_s=159\pm 11$ MeV at a scale 1 GeV, is obtained, with theoretical and experimental uncertainties contributing roughly equally to the combined error.