Sudakov effects and the dipole amplitude

TL;DR

This paper integrates the Sudakov form factor into the dipole model framework, enhancing the description of HERA $F_2$ data, especially at high $Q^2$, by improving saturation models like GBW and BGK.

Contribution

It introduces a general formula for incorporating the Sudakov factor into dipole models and applies it to existing saturation models, fitting experimental data.

Findings

Sudakov factor improves data fit at large $Q^2$

Enhanced dipole models better describe HERA $F_2$ data

Successful parameter fitting for saturation models

Abstract

In this study we incorporate the Sudakov form factor into the dipole factorization formula, where the hard scale of the former is provided by the photon virtuality $Q^2$. We obtain a general formula which we then apply to the well-known GBW and BGK saturation models. Parameters of the above Sudakov-improved models are successfully fitted to the $F_2$ data from HERA. We observe, in particular, that inclusion of the Sudakov factor on top of the GBW model improves description of data at large $Q^2$.