Transversity form factors of the pion in chiral quark models

TL;DR

This paper calculates the transversity form factors of the pion using chiral quark models and demonstrates good agreement with lattice QCD results after QCD evolution, highlighting the role of chiral symmetry.

Contribution

It introduces calculations of pion transversity form factors in both local and nonlocal chiral quark models, aligning with lattice data and meson dominance principles.

Findings

Good agreement with lattice QCD after QCD evolution

Meson dominance of form factors confirmed

Chiral symmetry governs pion dynamics

Abstract

The transversity form factors of the pion, involving matrix elements of bilocal tensor currents, are evaluated in chiral quark models, both in the local Nambu--Jona-Lasinio with the Pauli-Villars regularization, as well as in nonlocal models involving momentum-dependent quark mass. After suitable QCD evolution the agreement with recent lattice calculations is very good, in accordance to the fact that the spontaneously broken chiral symmetry governs the dynamics of the pion. Meson dominance of form factors with expected meson masses also works properly, conforming to the parton-hadron duality in the considered process.