Wide-angle photo- and electroproduction of pions to twist-3 accuracy

Abstract

We investigate wide-angle photo- and electroproduction of pions within the handbag mechanism in which the ${\gamma }^{(\ast )}N\to \pi N^{\prime }$ amplitudes factorize into hard partonic subprocess amplitudes, ${\gamma }^{(\ast )}q\to \pi q^{\prime }$, and form factors representing $1/x$-moments of generalized parton distributions (GPDs). The subprocess is calculated to twist-3 accuracy taking into account the 2- and 3-body Fock components of the pion. Both components are required for achieving gauge invariance in QED and QCD. The twist-2 and twist-3 distribution amplitudes (DAs) of the pion as well as the form factors are taken from our study of ${\pi }^0$ photoproduction. Extensive results on photoproduction of charged pions are presented and compared to experiment. Predictions on electroproduction of pions as well as on spin effects are also given. As a byproduct of our analysis we also obtain the complete twist-3 subprocess amplitudes contributing to deeply-virtual electroproduction of pions.

arXiv comment50 pages, 11 figures; version as published in PRD up to corrected typo in Eq. (52)

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Cited by in corpus (3)

• Transition GPDs and exclusive electroproduction of $\pi -\Delta (1232)$ final states
• NLO corrections to the deeply virtual meson production revisited: impact on the extraction of generalized parton distributions
• Twist-3 contribution to deeply virtual electroproduction of pions