Improved Geometrical Scaling at the LHC

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 $Q=p_{\rm T}/2$