Non-perturbative quark mass renormalisation and running in $N_f=3$ QCD

TL;DR

This paper computes the non-perturbative quark mass anomalous dimension in Nf=3 QCD, enabling precise connection between the electroweak and hadronic scales in the Standard Model.

Contribution

It provides a high-accuracy, non-perturbative determination of quark mass renormalisation and running, including matching factors for lattice QCD with improved Wilson fermions.

Findings

Achieved about 1% total uncertainty in light quark mass renormalisation.

Provided non-perturbative matching factors for lattice computations.

Connected perturbative and non-perturbative regimes of the Standard Model.

Abstract

We determine from first principles the quark mass anomalous dimension in Nf=3 QCD between the electroweak and hadronic scales. This allows for a fully non-perturbative connection of the perturbative and non-perturbative regimes of the Standard Model in the hadronic sector. The computation is carried out to high accuracy, employing massless O(a)-improved Wilson quarks and finite-size scaling techniques. We also provide the matching factors required in the renormalisation of light quark masses from lattice computations with O(a)-improved Wilson fermions and a tree-level Symanzik improved gauge action. The total uncertainty due to renormalisation and running in the determination of light quark masses in the SM is thus reduced to about 1%.