Smeared quasidistributions in perturbation theory

Abstract

Quasi and pseudo distributions provide a new approach to determining parton distribution functions (PDFs) from first principles' calculations of quantum chromodynamics (QCD). Here I calculate the flavor nonsinglet unpolarized quasi distribution at one loop in perturbation theory, using the gradient flow to remove ultraviolet divergences. I demonstrate that, as expected, the gradient flow does not change the infrared structure of the quasi distribution at one loop and use the results to match the smeared matrix elements to those in the $\ms$ scheme. This matching calculation is required to relate numerical results obtained from nonperturbative lattice QCD computations to light-front PDFs extracted from global analyses of experimental data.

Twelve pages, ten figures. Version updated to correct sign error in equation 34, leading to corrected results in equations 23, 28, 37 and 44. Corrected results, along with typographic errors that do not affect results, published in erratum in Phys. Rev. D

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Cited by in corpus (28)

• Large-Momentum Effective Theory
• A guide to light-cone PDFs from Lattice QCD: an overview of approaches, techniques and results
• Insights into the Emergence of Mass from Studies of Pion and Kaon Structure
• First direct lattice-QCD calculation of the $x$-dependence of the pion parton distribution function
• Pion generalized parton distribution from lattice QCD
• Parton Distribution Functions from Ioffe Time Pseudodistributions from Lattice Calculations: Approaching the Physical Point
• Unpolarized isovector quark distribution function from Lattice QCD: A systematic analysis of renormalization and matching
• Nucleon Tomography and Generalized Parton Distribution at Physical Pion Mass from Lattice QCD
• Pion and Kaon Distribution Amplitudes in the Continuum Limit
• Transverse Momentum Dependent Quasi-Parton-Distributions
• Matching Quasi Generalized Parton Distributions in the RI/MOM scheme
• Complete Matching for Quasi-distribution Functions in Large Momentum Effective Theory
• Multiplicative renormalizability of quasi-parton operators
• Extraction of Next-to-Next-to-Leading-Order PDFs from Lattice QCD Calculations
• Generalized quasi parton distributions in a diquark spectator model
• On the power divergence in quasi gluon distribution function
• Partonic quasidistributions in two-dimensional QCD
• The role of zero-mode contributions in the matching for the twist-3 PDFs $e(x)$ and $h_L(x)$
• One-loop matching for the twist-3 parton distribution $g_T(x)$
• Exploring twist-2 GPDs through quasi-distributions in a diquark spectator model
• Nucleon Gluon Distribution Function from 2+1+1-Flavor Lattice QCD
• Renormalization of Wilson-line operators in the presence of nonzero quark masses
• Results and techniques for higher order calculations within the gradient-flow formalism
• Unravelling High-Energy Hadron Structures with Lattice QCD
• Master Integrals for two-loop QCD corrections to Quasi PDFs
• One-Loop Hybrid Renormalization Matching Kernels for Quasi-Parton Distributions
• Renormalon Effects in Quasi Parton Distributions
• Chiral Perturbation for Large Momentum Effective Field Theory