Off-shell quark bilinear operator Green’s functions at two loops

2019/06/05 by J. A. Gracey
Mathematics · Physics and Astronomy · #Bilinear interpolation #Compact operator #Computer science #High-Energy Particle Collisions Research #Mathematical physics #Mathematics #Momentum operator #Operator (biology) #Operator product expansion #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quark #Shift operator #hep-lat #hep-ph

paper · pdf · doi:10.1103/physrevd.99.125017

published as Phys. Rev. D 99, 125017 (2019) · 17 latex pages, 10 figures

arxiv created 2019/06/05 · openalex publication_date 2019/06/28 · arxiv updated 2019/07/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We construct the two-loop Green's functions for a quark bilinear operator inserted at nonzero momentum in a quark 2-point function for the most general off-shell configuration. In particular we consider the quark mass operator, vector and tensor currents as well as the second moment of the flavor nonsinglet Wilson operator.

Citations

• Three loop anomalous dimension of non-singlet quark currents in the RI′ scheme
• Three loop MSbar operator correlation functions for deep inelastic scattering in the chiral limit
• Quark mass renormalization in the and RI schemes up to the NNLO order
• Renormalization of quark bilinear operators in a momentum-subtraction scheme with a nonexceptional subtraction point
• A lattice determination of moments of unpolarized nucleon structure functions using improved Wilson fermions
• New results for two-loop off-shell three-point diagrams
• Bilinear quark operator renormalization at generalized symmetric point
• RI/MOM and RI/SMOM renormalization of overlap quark bilinears on domain wall fermion configurations
• The pressure distribution inside the proton