Improved Geometrical Scaling at the LHC

TL;DR

This paper demonstrates that the geometrical scaling of transverse momentum spectra at the LHC is significantly enhanced when the saturation scale exponent varies with $p_T$, aligning with the $x$-dependence observed in deep inelastic scattering.

Contribution

It introduces a $p_T$-dependent saturation scale exponent, improving the description of LHC data and linking it to deep inelastic scattering results.

Findings

Enhanced geometrical scaling with $p_T$-dependent exponent

Consistent $x$-dependence with DIS structure functions

Improved fit to CMS $p_T$ spectra

Abstract

We show that geometrical scaling exhibited by the $p_{\rm T}$ spectra measured by the CMS collaboration at the LHC is substantially improved if the exponent $\lambda$ of the saturation scale depends on $p_{\rm T}$. This dependence is shown to be the same as the dependence of small $x$ exponent of $F_2$ structure function in deep inelastic scattering taken at the scale $Q=p_{\rm T}/2$