Quantitative Study of Geometrical Scaling in Deep Inelastic Scattering at HERA

TL;DR

This paper introduces a method to evaluate geometrical scaling in deep inelastic scattering at HERA, demonstrating its effectiveness up to certain Bjorken x values and estimating the scaling exponent.

Contribution

It presents a novel assessment method for geometrical scaling quality and applies it to HERA data, providing new insights into the scaling behavior and the value of the exponent.

Findings

Geometrical scaling works well up to Bjorken x of 0.1

Estimated scaling exponent λ is between 0.32 and 0.34

Method based on Bjorken x and energy binning confirms scaling validity

Abstract

We propose a method to assess the quality of geometrical scaling in Deep Inelastic Scattering and apply it to the combined HERA data on $\gamma^{\ast}p$ cross-section. Using two different approaches based on Bjorken $x$ binning and binning in $\gamma^{\ast}p$ scattering energy $W$, we show that geometrical scaling in variable $\tau\sim Q^{2} x^{\lambda}$ works well up to Bjorken $x$'s 0.1. The corresponding value of exponent $\lambda$ is 0.32 -- 0.34.