Sketching the pion's valence-quark generalised parton distribution

Mezrag, C.; Chang, L.; Moutarde, H.; Roberts, C. D.; Rodríguez-Quintero, J.; Sabatié, F.; Schmidt, S. M.

doi:10.1016/j.physletb.2014.12.027

Title: Sketching the pion's valence-quark generalised parton distribution

Journal Article · Sun Feb 01 00:00:00 EST 2015 · Physics Letters. B

DOI:https://doi.org/10.1016/j.physletb.2014.12.027· OSTI ID:1392584

Mezrag, C.; Chang, L.; Moutarde, H.;

; Rodríguez-Quintero, J.; Sabatié, F.; Schmidt, S. M.

In order to learn effectively from measurements of generalised parton distributions (GPDs), it is desirable to compute them using a framework that can potentially connect empirical information with basic features of the Standard Model. We sketch an approach to such computations, based upon a rainbow-ladder (RL) truncation of QCD's Dyson-Schwinger equations and exemplified via the pion's valence dressed-quark GPD, H-pi(V)(chi, xi, t). Our analysis focuses primarily on xi = 0, although we also capitalise on the symmetry-preserving nature of the RL truncation by connecting H-pi(V)(chi, xi = +/- 1, t) with the pion's valence-quark parton distribution amplitude. We explain that the impulse-approximation used hitherto to define the pion's valence dressed-quark GPD is generally invalid owing to omission of contributions from the gluons which bind dressed-quarks into the pion. A simple correction enables us to identify a practicable improvement to the approximation for H(pi)(V)p(chi, 0, t), expressed as the Radon transform of a single amplitude. Therewith we obtain results for H pi V(chi, 0, t) and the associated impact-parameter dependent distribution, q(pi)(V)(chi, vertical bar(b) over right arrow (perpendicular to)vertical bar), which provide a qualitatively sound picture of the pion's dressed-quark structure at a hadronic scale. We evolve the distributions to a scale zeta = 2 GeV, so as to facilitate comparisons in future with results from experiment or other nonperturbative methods. (C) 2014 Published by Elsevier B. V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/3.0/).

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Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: USDOE Office of Science - Office of Nuclear Physics; Commissariat a l’Energie Atomique (CEA); Australian Research Council

DOE Contract Number:: AC02-06CH11357

OSTI ID:: 1392584

Journal Information:: Physics Letters. B, Vol. 741; ISSN 0370-2693

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

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