Mezrag, CédricChang, L.Moutarde, HervéRodríguez Quintero, José2020-06-252020-06-252014-12Mezrag, C., Chang, L., Moutarde, H. ... Rodríguez Quintero, J. (2014). Sketching the pion’s valence-quark generalised parton distribution. Physics Letters B, 741, 190–196. DOI: https://doi.org/10.1016/j.physletb.2014.12.0270370-2693http://hdl.handle.net/10272/18386In 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 rainbowladder (RL) truncation of QCD’s Dyson–Schwinger equations and exemplified via the pion’s valence dressed-quark GPD, Hvπ (x, ξ, t). Our analysis focuses primarily on ξ = 0, although we also capitalise on the symmetry-preserving nature of the RL truncation by connecting Hvπ (x, ξ = ±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 Hvπ (x, 0, t), expressed as the Radon transform of a single amplitude. Therewith we obtain results for Hvπ (x, 0, t) and the associated impact-parameter dependent distribution, qv π (x, | b⊥|), which provide a qualitatively sound picture of the pion’s dressedquark structure at a hadronic scale. We evolve the distributions to a scale ζ =2 GeV, so as to facilitate comparisons in future with results from experiment or other nonperturbative methods.engAtribución-NoComercial-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nc-nd/3.0/es/Deeply virtual compton scatteringDynamical chiral symmetry breakingDyson–Schwinger equationsGeneralised parton distribution functionsπ-mesonjournal article10.1016/j.physletb.2014.12.027open access