Quark-Hadron Duality and Intrinsic Transverse Momentum

TL;DR

This paper shows that local quark-hadron duality in exclusive pion processes can be modeled with an effective two-body light-cone wave function, capturing soft dynamics and higher Fock states as suppressed radiative corrections.

Contribution

It establishes the equivalence between local duality and an effective two-body wave function approach for the pion, incorporating higher Fock states as radiative corrections.

Findings

Duality prescription matches effective wave function model.

Higher Fock components are suppressed as radiative corrections.

Soft dynamics are effectively modeled by the two-body wave function.

Abstract

It is demonstrated in several exclusive processes involving the pion that a local quark-hadron duality prescription is equivalent to using an effective $ \bar q q $ (two-body) light-cone wave function $\Psi^{(LD)}(x,k_{\perp})$ for the pion. This wave function models soft dynamics of all higher $\bar qG \ldots G q $ Fock components of the standard light-cone approach. Contributions corresponding to higher Fock components in a hard regime appear in this approach as radiative corrections and are suppressed by powers of $\alpha_s/\pi$.