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Twist-3 contribution to deeply virtual electroproduction of pions

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arxiv 2312.13164 v2 pith:PC3TXFEA submitted 2023-12-20 hep-ph hep-ex

classification hep-phhep-ex
keywords twist-3contributiondeeplyelectroproductionfunctionmesontransversevirtual
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The twist-3 contribution, consisting of twist-2 transversity generalized parton distributions (GPDs) and a twist-3 meson wave function, to deeply virtual pion electroproduction is discussed. The twist-3 meson wave function includes both the $q\bar{q}$ and the $q\bar{q}g$ Fock components. Two methods to regularize the end-point singularities are introduced - quark transverse momenta and a gluon mass. Using existing GPD parameterizations the transverse and the transverse-transverse interference cross sections for $\pi^0$ production are calculated and compared to experimental data.

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Cited by 3 Pith papers

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  1. Gluon Generalized TMD signatures at the EIC from exclusive heavy (axial-)vector meson production

    hep-ph 2026-01 conditional novelty 6.0 of 10

    Exclusive heavy vector-meson electroproduction can yield cos2φ and sin2φ azimuthal asymmetries whose coefficients contain moments of gluon GTMDs F_{1,4} and G_{1,1}.

  2. Measurement of the hard exclusive $\pi^{0}$ muoproduction cross section at COMPASS

    hep-ex 2024-12 conditional novelty 4.0 of 10

    COMPASS measured hard exclusive neutral-pion muoproduction cross sections over Q2 from 1 to 8 (GeV/c)^2 and found a large transverse-transverse interference term, supporting chiral-odd GPD E_T dominance.

  3. Three-dimensional imaging of hadrons with hard exclusive reactions: advances in experiment, theory, phenomenology, and lattice QCD

    hep-ph 2025-12 unverdicted novelty 2.0 of 10

    A community white paper reviewing GPD-based 3D imaging of hadrons — experiment, theory, phenomenology, lattice QCD — and the roadmap toward precision tomography at JLab, COMPASS, J-PARC, and future electron-ion colliders.

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