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The ratio of the cross sections for inclusive isolated-photon production in$pp$ collisions at centre-of-mass energies of 13 and 8 TeV is measured usingthe ATLAS detector at the LHC. The integrated luminosities of the 13 TeV and 8TeV datasets are 3.2 fb$^{-1}$ and 20.2 fb$^{-1}$, respectively. The ratio ismeasured as a function of the photon transverse energy in different regions ofthe photon pseudorapidity. The predictions from next-to-leading-orderperturbative QCD calculations are compared with the measured ratio. Theexperimental systematic uncertainties as well as the uncertainties affectingthe predictions are evaluated taking into account the correlations between thetwo centre-of-mass energies, resulting in a reduction of up to a factor of$2.5$ ($5$) in the experimental (theoretical) systematic uncertainties. Thepredictions based on several parameterisations of the proton partondistribution functions agree with the data within the reduced experimental andtheoretical uncertainties. In addition, this ratio to that of the fiducialcross sections for $Z$ boson production at 13 and 8 TeV using the decaychannels $Z \rightarrow e^+e^-$ and $Z \rightarrow \mu^+\mu^-$ is made andcompared with the theoretical predictions. In this double ratio, a furtherreduction of the experimental uncertainty is obtained because the uncertaintiesarising from the luminosity measurement cancel out. The predictions describethe measurements of the double ratio within the theoretical and experimentaluncertainties.

the journal of high energy physics/the journal of high energy physics

Measurement of the ratio of cross sections for inclusive isolated-photon  production in $pp$ collisions at $\sqrt s = 13$ and $8$ TeV with the ATLAS  detector