Quasi parton distribution functions at NNLO: flavor non-diagonal quark contributions

Abstract

We present a next-to-next-to-leading order (NNLO) calculation of the quasi parton distribution functions (Quasi-PDFs) in the large momentum effective theory (LaMET). We focus on the flavor non-diagonal quark-quark channel and demonstrate the LaMET factorization at the NNLO accuracy in the modified minimal subtraction scheme. The matching coefficient between the quasi-PDF and the light-cone PDF is derived. This provides a first step towards a complete NNLO analysis of quasi-PDFs and to better understand the nucleon structures from the first principle of QCD.

arXiv comment10 pages, 3 figures; v2: accepted for publication in Physical Review D as a rapid communication

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• The x-dependence of hadronic parton distributions: A review on the progress of lattice QCD
• Extraction of Next-to-Next-to-Leading-Order PDFs from Lattice QCD Calculations
• Flavor non-singlet parton distribution functions from lattice QCD at physical quark masses via the pseudo-distribution approach
• Next-to-next-to-leading order corrections to quark Quasi parton distribution functions
• Flavor decomposition of the nucleon unpolarized, helicity and transversity parton distribution functions from lattice QCD simulations
• Flavor decomposition for the proton helicity parton distribution functions
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• Overview of lattice calculations of the $x$-dependence of PDFs, GPDs and TMDs
• One-Loop Hybrid Renormalization Matching Kernels for Quasi-Parton Distributions
• Non-singlet quark helicity PDFs of the nucleon from pseudo-distributions
• Renormalon Effects in Quasi Parton Distributions
• QCD Factorization of Quasi Generalized Quark Distributions
• Chiral Perturbation for Large Momentum Effective Field Theory
• Bayesian-Wilson coefficients in lattice QCD computations of valence PDFs and GPDs
• Generalized quasi, Ioffe-time, and pseudo quark distributions of the pion in the Nambu--Jona-Lasinio model
• QCD Factorization of Quasi Generalized Gluon Distributions
• Large-Momentum Effective Theory's Asymptotic Extrapolation vs the Inverse Problem
• The Continuum and Leading Twist Limits of Parton Distribution Functions in Lattice QCD
• One-loop Matching Factors for Singlet Quasi-Parton Distribution Functions in the Hybrid-Ratio Scheme
• Renormalon effect of quasi-PDF in gradient flow formalism
• The transversity parton distribution function of the nucleon using the pseudo-distribution approach