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

Understand

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.