Renormalon Model of Twist-4 Corrections to the Pion Distribution Amplitude

TL;DR

This paper introduces a renormalon-inspired model for twist-4 power corrections to the pion distribution amplitude, comparing it with conformal wave expansion results and discussing convergence issues.

Contribution

It presents a novel renormalon-based model for twist-4 corrections and analyzes its similarities and differences with the conformal expansion approach.

Findings

The functional form of the renormalon model aligns with the conformal expansion predictions.

Small discrepancies at the end-points highlight convergence issues in the conformal approach.

The model provides insights into higher twist contributions to the pion distribution amplitude.

Abstract

In this paper we describe a renormalon-inspired model of twist--4 power corrections to the light-cone pion distribution amplitude, and compare it to the results obtained using the conformal wave expansion. We find that the overall functional form predicted in this renormalon model is similar to the one predicted in the standard approach to higher twist contributions involving an expansion in conformal operators. However, small discrepancies at the end-points allow for a discussion on the convergence properties of the conformal expansion.