Intrinsic mass scale in QCD factorization

TL;DR

This paper proposes the existence of an intrinsic mass scale in QCD factorization, distinct from the perturbative scale, which influences the reduction of KT to Collinear Factorization and originates from non-perturbative effects.

Contribution

It introduces the concept of an intrinsic mass scale in QCD factorization and explains its role in connecting different factorization schemes.

Findings

Intrinsic mass scale exists within the Non-Perturbative QCD range.

The intrinsic scale enables reduction of KT to Collinear Factorization.

Models show the intrinsic scale arises from sharp peaks in non-perturbative inputs.

Abstract

In this paper we argue for existence of an intrinsic mass scale in QCD factorization and present a possible origin of it. Values of this scale are within the Non-Perturbative QCD mass range. It differs from the known factorization scale which is within the perturbative mass range and dependence on which vanishes in the factorization convolutions. We show that the intrinsic mass scale plays the key part in reduction of KT Factorization to Collinear Factorization: such a reduction can be done provided that dependence of the non-perturbative inputs in KT Factorization on invariant energy has a sharp-peaked form. In this case the intrinsic mass scale is associated with location of the peak(s). We also present models where the intrinsic scale is generated by such peaks.