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Apr 13 – 16, 2021
US/Eastern timezone

Coordinate space behavior of Parton Distribution Functions and Generalized Parton Distributions

Apr 13, 2021, 1:30 PM
20m

Speaker

Abha Rajan (Old Dominion University)

Description

The distance, z, along the lightcone that the quark fields that enter the correlator describing the Parton Distribution Functions (PDFs) are separated by is a natural variable for separating the non-perturbative (long-distance) and perturbative (short-distance) physics. We study how the behavior in z of a PDF can be mapped out given its Mellin moments. Pseudo PDFs describe the nucleon matrix elements of quark field operators that are separated by a space like distance z. These are calculable in lattice QCD and as z^2 approaches zero, pseudo PDFs approach the actual PDFs. Complementary to lattice efforts, we study the behavior of pseudo PDFs as a function of z^2 in a spectator diquark model. We also extend the study to Generalized Parton Distributions (GPDs), which involves taking into account an extra degree of freedom because of the non diagonal nature of the hadronic matrix element in the case of GPDs.

Primary authors

Abha Rajan (Old Dominion University) Simonetta Liuti (University of Virginia)

Presentation materials