Nonperturbative Renormalization in Lattice QCD with three Flavors of Clover Fermions: Using Periodic and Open Boundary Conditions

Abstract

We present the nonperturbative computation of renormalization factors in the RI'-(S)MOM schemes for the QCD gauge field ensembles generated by the CLS (coordinated lattice simulations) effort with three flavors of nonperturbatively improved Wilson (clover) quarks. We use ensembles with the standard (anti-)periodic boundary conditions in the time direction as well as gauge field configurations with open boundary conditions. Besides flavor-nonsinglet quark-antiquark operators with up to two derivatives we also consider three-quark operators with up to one derivative. For the RI'-SMOM scheme results we make use of the recently calculated three-loop conversion factors to the modified minimal subtraction scheme. The present version of the paper contains an Addendum with additional analytical expressions and updated results.

41 pages, 24 figures, 4 ancillary files; v2: additional clarifications and references, results unchanged; v3: contains an addendum with updated results

References in corpus (18)

• The five-loop beta function of Yang-Mills theory with fermions
• Simulation of QCD with N_f=2+1 flavors of non-perturbatively improved Wilson fermions
• Four-Loop Non-Singlet Splitting Functions in the Planar Limit and Beyond
• The strong coupling from a nonperturbative determination of the $\Lambda$ parameter in three-flavor QCD
• Continuum Limit of $B_K$ from 2+1 Flavor Domain Wall QCD
• On the reduction of hypercubic lattice artifacts
• Five-loop contributions to low-N non-singlet anomalous dimensions in QCD
• Light-cone distribution amplitudes of octet baryons from lattice QCD
• Nucleon axial, scalar, and tensor charges using lattice QCD at the physical pion mass
• Step Scaling with off-shell renormalisation
• RI'/SMOM scheme amplitudes for quark currents at two loops
• Three loop anomalous dimensions of higher moments of the non-singlet twist-2 Wilson and transversity operators in the MSbar and RI' schemes
• Nonperturbative Renormalization in Lattice QCD with three Flavors of Clover Fermions: Using Periodic and Open Boundary Conditions
• Two loop renormalization of the n = 2 Wilson operator in the RI'/SMOM scheme
• Amplitudes for the n = 3 moment of the Wilson operator at two loops in the RI/'SMOM scheme
• Irreducible Multiplets of Three-Quark Operators on the Lattice: Controlling Mixing under Renormalization
• Moments $n=2$ and $n=3$ of the Wilson twist-two operators at three loops in the RI${}^{\prime }$/SMOM scheme
• Five loop anomalous dimension of non-singlet quark currents in the RI' scheme

Cited by in corpus (12)

• Lattice Calculation of the Intrinsic Soft Function and the Collins-Soper Kernel
• Scale setting and the light baryon spectrum in $N_f=2+1$ QCD with Wilson fermions
• Octet baryon isovector charges from $N_f=2+1$ lattice QCD
• Nonperturbative Renormalization in Lattice QCD with three Flavors of Clover Fermions: Using Periodic and Open Boundary Conditions
• Mellin moments of spin dependent and independent PDFs of the pion and rho meson
• Lattice results for the longitudinal spin structure and color forces on quarks in a nucleon
• Double parton distributions in the nucleon from lattice QCD
• Ratio of flavour non-singlet and singlet scalar density renormalisation parameters in $N_{\mathrm{f}}=3$ QCD with Wilson quarks
• Updated determination of light-cone distribution amplitudes of octet baryons in lattice QCD
• Universality of the Collins-Soper kernel in lattice calculations
• Valence Quark PDFs of the Proton from Two-Current Correlations in Lattice QCD
• Double parton distributions with flavor interference from lattice QCD