Duality and Factorization Theorem in QCD

TL;DR

This paper explores duality between two nonperturbative mechanisms in QCD and scalar models, revealing how duality can inform the choice of models in hadron production processes.

Contribution

It demonstrates the presence of duality between twist-3 GDA and leading-twist TDA mechanisms in QCD and scalar models, highlighting their different regimes of factorization.

Findings

Duality observed in scalar $\

Duality sensitive to nonperturbative model choice in QCD

Potential use of duality to select appropriate nonperturbative models

Abstract

We find that in "two-photon"-like processes in the scalar $\varphi^3_E$ model and also in hadron-pair production arising from the collisions of a real (transversely polarized) and a highly virtual, longitudinally polarized, photon in QCD, there is duality between two distinct nonperturbative mechanisms. These two mechanisms, one involving a twist-3 Generalized Distribution Amplitude, the other employing a leading-twist Transition Distribution Amplitude, are associated with different regimes of factorization. In the kinematical region, where the two mechanisms overlap, duality is observed for the scalar $\varphi^3_E$ model, while in the QCD case the appearance of duality turns out to be sensitive to the particular nonperturbative model applied and can, therefore, be used as a tool for selecting the most appropriate one.