Speaker
Description
We report on the status of an ongoing determination of the light and strange quark masses in QCD with $N_{f}=2+1$ dynamical flavours. Using CLS gauge ensembles, we employ a combination of a unitary non-perturbatively $\mathrm{O}(a)$-improved Wilson setup and a mixed-action approach with Wilson twisted-mass quarks at maximal twist in the valence. Bare quark masses are extracted from the PCAC relation in the pure Wilson setup and via the matching condition between the sea and valence sectors for the case of the mixed action. Scale setting is performed using the same mixed-action approach. Non-perturbative mass renormalisation at a hadronic scale and renormalisation-group running to the perturbative regime employ the Schrödinger functional scheme, enabling a well-controlled conversion to the $\overline{\mathrm{MS}}$ scheme. The analysis covers five values of the lattice spacing, down to $a \sim 0.038\,\text{fm}$, and pion masses reaching the physical value, enabling a systematic study of discretisation and chiral extrapolation uncertainties.