GPDs at HERA and perspectives at COMPASS

TL;DR

This paper discusses how measurements of deep-inelastic scattering and exclusive processes like DVCS at HERA and COMPASS can enhance understanding of the three-dimensional structure of nucleons through Generalized Parton Distributions (GPDs).

Contribution

It highlights the potential of exclusive processes such as DVCS to provide new insights into the transverse and correlated partonic structure of nucleons, complementing traditional PDFs.

Findings

HERA measurements have provided initial constraints on GPDs.

Prospects at COMPASS could lead to more detailed imaging of nucleon structure.

Exclusive processes can reveal correlations and transverse motion of partons.

Abstract

Measurements of the deep-inelastic scattering (DIS) of leptons and nucleons, $e+p\to e+X$, allow the extraction of Parton Distribution Functions (PDFs) which describe the longitudinal momentum carried by the quarks, anti-quarks and gluons that make up the fast-moving nucleons. While PDFs provide crucial input to perturbative Quantum Chromodynamic (QCD) calculations of processes involving hadrons, they do not provide a complete picture of the partonic structure of nucleons. In particular, PDFs contain neither information on the correlations between partons nor on their transverse motion. Hard exclusive processes, in which the nucleon remains intact, have emerged in recent years as prime candidates to complement this essentially one dimentional picture. The simplest exclusive process is the deeply virtual Compton scattering (DVCS) or exclusive production of real photon, $e + p \to e + \gamma + p$. This process is of particular interest as it has both a clear experimental signature and is calculable in perturbative QCD. The DVCS reaction can be regarded as the elastic scattering of the virtual photon off the proton via a colourless exchange, producing a real photon in the final state. In the Bjorken scaling regime, QCD calculations assume that the exchange involves two partons, having different longitudinal and transverse momenta, in a colourless configuration. These unequal momenta or skewing are a consequence of the mass difference between the incoming virtual photon and the outgoing real photon. This skewedness effect can be interpreted in the context of generalised parton distributions (GPDs). In this proceeding, we examine typical measurements from HERA and prospects for COMPASS at CERN, that can bring new insights on the quarks/gluons imaging of the nucleon.