https://doi.org/10.1140/epjc/s10052-020-7698-z
Regular Article - Theoretical Physics
Light quark masses in 
lattice QCD with Wilson fermions
ALPHA Collaboration
1
Theoretical Physics Department, CERN, 1211, Geneva 23, Switzerland
2
Instituto de Física de Cantabria IFCA-CSIC, Avda. de los Castros s/n, 39005, Santander, Spain
3
High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki, 305-0801, Japan
4
Departamento de Física Teórica, Universidad Autónoma de Madrid, Cantoblanco, 28049, Madrid, Spain
5
Instituto de Física Teórica UAM-CSIC, Universidad Autónoma de Madrid, C/ Nicolás Cabrera 13-15, Cantoblanco, 28049, Madrid, Spain
6
INFN, Sezione di Torino, Via Pietro Giuria 1, 10125, Turin, Italy
7
School of Mathematics, Hamilton Mathematics Institute, Trinity College Dublin, Dublin 2, Ireland
8
INFN, Sezione di Tor Vergata, c/o Dipartimento di Fisica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica 1, 00133, Rome, Italy
* e-mail: jonna.koponen@kek.jp
Received:
29
November
2019
Accepted:
30
January
2020
Published online:
22
February
2020
We present a lattice QCD determination of light quark masses with three sea-quark flavours (
). Bare quark masses are known from PCAC relations in the framework of CLS lattice computations with a non-perturbatively improved Wilson-Clover action and a tree-level Symanzik improved gauge action. They are fully non-perturbatively improved, including the recently computed Symanzik counter-term 
. The mass renormalisation at hadronic scales and the renormalisation group running over a wide range of scales are known non-perturbatively in the Schrödinger functional scheme. In the present paper we perform detailed extrapolations to the physical point, obtaining (for the four-flavour theory) 
and 
in the 
scheme. For the mass ratio we have 
. The RGI values in the three-flavour theory are 
and 
.
© The Author(s), 2020
