Quantifying finite-momentum effects in meson quasi-PDFs

Abstract

The recently proposed large momentum effective theory (LaMET) of Ji has led to a burst of activity among lattice practitioners to perform and control the first pioneering calculations of the quasi-PDFs of the nucleon. These calculations represent approximations to the standard PDFs defined as correlation functions of fields with lightlike separation, being instead correlations along a longitudinal direction of the operator ${\gamma }^z$; as such, they differ from standard PDFs by power-suppressed $1/p_z^2$ corrections, becoming exact in the limit $p_z\to \infty$. Investigating the systematics of this behavior thus becomes crucial to understanding the validity of LaMET calculations. While this has been done using models for the nucleon, an analogous dedicated study has not been carried out for the $\pi$ and $\rho$ quark distribution functions. Using a constituent quark model, a systematic calculation is performed to estimate the size and $x$ dependence of the finite-$p_z$ effects in these quasi-PDFs, finding them to be potentially tamer for lighter mesons than for the collinear quasi-PDFs of the nucleon.

10 pages, 4 two-panel figures

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Cited by in corpus (29)

• Large-Momentum Effective Theory
• 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
• Revealing the structure of light pseudoscalar mesons at the Electron-Ion Collider
• Pion generalized parton distribution from lattice QCD
• Nucleon Tomography and Generalized Parton Distribution at Physical Pion Mass from Lattice QCD
• Pion and Kaon Distribution Amplitudes in the Continuum Limit
• Matching Quasi Generalized Parton Distributions in the RI/MOM scheme
• Complete Matching for Quasi-distribution Functions in Large Momentum Effective Theory
• Generalized quasi parton distributions in a diquark spectator model
• On the power divergence in quasi gluon distribution function
• 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 $g_T(x)$
• Nucleon Gluon Distribution Function from 2+1+1-Flavor Lattice QCD
• Exploring twist-2 GPDs through quasi-distributions in a diquark spectator model
• Charting the coming synergy between lattice QCD and high-energy phenomenology
• Complementarity of experimental and lattice QCD data on pion parton distributions
• Master Integrals for two-loop QCD corrections to Quasi PDFs
• Quasi parton distribution function and quasi generalized parton distribution of the pion meson in a spectator model
• 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
• T-odd generalized and quasi transverse momentum dependent parton distribution in a scalar spectator model
• Chiral Perturbation for Large Momentum Effective Field Theory
• Mapping Parton Distributions of Hadrons with Lattice QCD
• Global QCD Analysis of Pion Parton Distributions with Threshold Resummation
• The Continuum and Leading Twist Limits of Parton Distribution Functions in Lattice QCD
• The quark quasi Sivers function and quasi Boer-Mulders function in a spectator diquark model
• One-loop Matching Factors for Singlet Quasi-Parton Distribution Functions in the Hybrid-Ratio Scheme