Pion scalar, vector and tensor form factors from a contact interaction

Abstract

The pion scalar, vector and tensor form factors are calculated within a symmetry-preserving contact interaction model (CI) of quantum chromodynamics (QCD), encompassed within a Dyson-Schwinger and Bethe-Salpeter equations approach. In addition to the traditional rainbow-ladder truncation, a modified interaction kernel for the Bethe-Salpeter equation is adopted. The implemented kernel preserves the vector and axial-vector Ward-Takahashi identities, while also providing additional freedom. Consequently, new tensor structures are generated in the corresponding interaction vertices, shifting the location of the mass poles appearing in the quark-photon and quark tensor vertex and yielding a notorious improvement in the final results. Despite the simplicity of the CI, the computed form factors and radii are compatible with recent lattice QCD simulations.

arXiv comment11 pages, 8 figures

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• Understanding the Valence Quark Structure of the Pion through GTMDs
• Pion generalized parton distributions at zero skewness
• Revealing chiral-odd two-meson generalized distribution amplitudes in $e^{-}{e}^{+}\to (\pi \pi )(\pi \pi )$ reactions