Quark mass RG-running for $N_f=3$ QCD in a $chi$SF setup

We compute the nonperturbative quark mass RG-running in the range ΛQCD⪅μ⪅MW for Nf=3 massless QCD with a mixed action approach: sea quarks are regularised using nonperturbatively O(a)-improved Wilson fermions with Schrodinger functional (SF) boundary conditions, employing the configurations of 1802.05243, while valence quarks are regularised using nonperturbatively O(a)-improved Wilson fermions with chirally rotated Schrodinger functional boundary conditions (χSF). Our result is compatible with its SF counterpart of ref.1802.05243, confirming the universality of χSF and SF in the continuum limit. We also establish the optimal tuning strategy for the critical hopping parameter κc and the χSF boundary counterterm coefficient zf. We work in two energy regimes with two different definitions of the coupling: SF-coupling for 2 GeV~⪅μ⪅MW and GF-coupling for ΛQCD⪅μ⪅2 GeV