2021/12/20 by Isabel Campos Plasencia, Plasencia, Isabel Campos, Mattia Dalla Brida +11
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2112.10606
openalex publication_date 2021/12/20 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28
We study the Renormalisation Group (RG) running of the quark mass, for Nf=3 QCD with Wilson fermions in a mixed action setup, with standard Schrödinger Functional (SF) boundary conditions for sea quarks and chirally rotated Schrödinger Functional (χSF) boundary conditions for valence quarks. This necessitates the tuning of the boundary factor zf(g02) of the χSF valence action, in order to ensure that QCD symmetries are fully recovered in the continuum. The properties of this novel setup are monitored through the ratios ZS/ZP and ΣS/ΣP of the renormalisation parameters and step scaling functions of the scalar and pseudoscalar densities. Where comparison is possible, our ZS/ZP results are found to agree with previous determinations, based on a mass ratio method arXiv:1906.03445 and Ward identities arXiv:2005.01352, arXiv:2101.10969, with Schrödinger Functional boundary conditions. The behaviour of ΣS/ΣP confirms the theoretical expectations of χSF QCD, related to the restoration of the theory's symmetries in the continuum limit. From the step scaling function of the pseudoscalar density we obtain the quark mass RG-running function from hadronic to perturbative energy scales. This is fully compatible with the earlier result obtained in a similar setup for Wilson quarks with Schrödinger Functional boundary conditions arXiv:1802.05243 and provides a strong universality test for the two lattice setups.