Non-perturbative quark mass renormalization in two-flavor QCD

2005/07/31 by Michele Della Morte, Roland Hoffmann, Francesco Knechtli +5 · 11 citations
Physics and Astronomy · #Bottom quark #Down quark #High-Energy Particle Collisions Research #Lattice QCD #Massless particle #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pseudoscalar #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #Renormalization #Renormalization group #Top quark #Up quark #hep-lat #hep-ph

paper · pdf · doi:10.1016/j.nuclphysb.2005.09.028

published as Nucl.Phys. B729 (2005) 117-134 · 25 pages, 6 figures; sections 1 and 4 rearranged, minor change to the summary plot

arxiv created 2005/09/01 · openalex publication_date 2005/10/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The running of renormalized quark masses is computed in lattice QCD with two flavors of massless O(a) improved Wilson quarks. The regularization and flavor independent factor that relates running quark masses to the renormalization group invariant ones is evaluated in the Schroedinger Functional scheme. Using existing data for the scale r₀ and the pseudoscalar meson masses, we define a reference quark mass in QCD with two degenerate quark flavors. We then compute the renormalization group invariant reference quark mass at three different lattice spacings. Our estimate for the continuum value is converted to the strange quark mass with the help of chiral perturbation theory.

Citations

• Speeding up lattice QCD simulations with clover-improved Wilson fermions
• Chiral perturbation theory to one loop
• Chiral perturbation theory: Expansions in the mass of the strange quark
• A precise determination of the charm quark's mass in quenched QCD
• Schrödinger representation and Casimir effect in renormalizable quantum field theory
• Schwarz-preconditioned HMC algorithm for two-flavor lattice QCD
• The Schrödinger Functional - a Renormalizable Probe for Non-Abelian Gauge Theories
• Quark masses

Cited by

• Quark mass and field anomalous dimensions to Oαs5 O(α_s⁵)
• The effect of sea quarks on the mass of the charm quark from lattice QCD
• Running coupling constant and mass anomalous dimension of six-flavor SU(2) gauge theory
• Construction of lattice Möbius domain wall fermions in the Schrödinger functional scheme
• Quark mass anomalous dimension and Λ MS ¯ \varLambda_MS from the twisted mass Dirac operator spectrum
• Properties of light scalar mesons from lattice QCD
• Running coupling and mass anomalous dimension of SU(3) gauge theory with two flavors of symmetric-representation fermions
• Determining the conformal window: SU(2) gauge theory with N f = 4, 6 and 10 fermion flavours
• Determining fundamental parameters of QCD on the lattice
• Non-perturbative renormalization of quark mass in N f = 2 + 1 QCD with the Schrödinger functional scheme
• Chiral Symmetry Breaking in QCD with Two Light Flavors
• Determination of the charm quark mass in lattice QCD with 2 + 1 flavours on fine lattices