RI'/SMOM scheme amplitudes for deep inelastic scattering operators at one loop in QCD

Abstract

We compute the amplitudes for the insertion of various operators in a quark 2-point function at one loop in the RI' symmetric momentum scheme, RI'/SMOM. Specifically we focus on the moments n = 2 and 3 of the flavour non-singlet twist-2 operators used in deep inelastic scattering as these are required for lattice computations.

27 latex pages, 1 figure, inconsistency in vector current renormalization and the corresponding W_2 and W_3 parts corrected as well as several typos

References in corpus (27)

• The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
• The Three-Loop Splitting Functions in QCD: The Singlet Case
• A General Method for Non-Perturbative Renormalization of Lattice Operators
• The three-loop QCD $\beta$-function and anomalous dimensions
• Renormalization and Running of Quark Mass and Field in the Regularization Invariant and MS-bar Schemes at Three and Four Loops
• Renormalization of quark bilinear operators in a momentum-subtraction scheme with a nonexceptional subtraction point
• The Longitudinal Structure Function at the Third Order
• Nonperturbative Renormalisation of Composite Operators in Lattice QCD
• Three loop anomalous dimension of non-singlet quark currents in the RI' scheme
• Non-perturbative renormalization of quark bilinear operators with Nf=2 (tmQCD) Wilson fermions and the tree-level improved gauge action
• Renormalisation and off-shell improvement in lattice perturbation theory
• Quark Mass Renormalization in the $\MSbar$ and RI schemes up to the NNLO order
• A lattice determination of moments of unpolarised nucleon structure functions using improved Wilson fermions
• Two-loop matching factors for light quark masses and three-loop mass anomalous dimensions in the RI/SMOM schemes
• Two-loop renormalization of vector, axial-vector and tensor fermion bilinears on the lattice
• Non-perturbative Renormalization of Quark bilinears
• Three loop anomalous dimension of the second moment of the transversity operator in the MSbar and RI' schemes
• Precise MS-bar light-quark masses from lattice QCD in the RI/SMOM scheme
• Renormalization Constants of Quark Operators for the Non-Perturbatively Improved Wilson Action
• Renormalization of bilinear quark operators for the chirally improved lattice Dirac operator
• Three loop anomalous dimensions of higher moments of the non-singlet twist-2 Wilson and transversity operators in the MSbar and RI' schemes
• Three loop MSbar operator correlation functions for deep inelastic scattering in the chiral limit
• Calculation of Moments of Structure Functions
• Remarks on the Gauge Dependence of the RI/MOM Renormalization Procedure
• Nonperturbative renormalization of composite operators with overlap fermions
• Nonperturbative renormalisation of composite operators with overlap quarks
• The QCD Splitting Functions at Three Loops: Methods and Results

Cited by in corpus (6)

• Matching factors for Delta S=1 four-quark operators in RI/SMOM schemes
• Bilinear quark operators in the RI/SMOM scheme at three loops
• 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
• Moments $n=2$ and $n=3$ of the Wilson twist-two operators at three loops in the RI${}^{\prime }$/SMOM scheme
• Renormalization of three-quark operators at two loops in the RI${}^{\prime }$/SMOM scheme