Transversity structure of the pion in chiral quark models
Wojciech Broniowski, Enrique Ruiz Arriola, Alexander E. Dorokhov
TL;DR
This paper uses chiral quark models to evaluate the transversity Generalized Parton Distributions of the pion, showing they satisfy formal properties and agree with lattice QCD after evolution, highlighting chiral symmetry's role.
Contribution
It presents a consistent chiral quark model calculation of pion transversity GPDs and form factors, emphasizing the importance of QCD evolution and chiral symmetry.
Findings
tGPDs satisfy formal requirements
Comparison with lattice QCD is favorable after evolution
Chiral symmetry governs pion structure
Abstract
We describe the chiral quark model evaluation of the transversity Generalized Parton Distributions (tGPDs) and related transversity form factors (tFFs) of the pion. The obtained tGPDs satisfy all necessary formal requirements, such as the proper support, normalization, and polynomiality. The lowest tFFs, after the necessary QCD evolution, compare favorably to the recent lattice QCD determination. Thus the transversity observables of the pion support once again the fact that the spontaneously broken chiral symmetry governs the structure of the Goldstone pion. The proper QCD evolution is crucial in these studies.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · High-Energy Particle Collisions Research · Particle physics theoretical and experimental studies