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We perform a detailed study of inclusive jet production cross sections at theLHC and compare the QCD theory predictions based on the recently developedformalism for threshold and jet radius joint resummation at next-to-leadinglogarithmic accuracy to inclusive jet data collected by the CMS collaborationat $\sqrt{S} = 7$ and $13$TeV. We compute the cross sections at next-to-leadingorder in QCD with and without the joint resummation for different choices ofjet radii $R$ and observe that the joint resummation leads to crucialimprovements in the description of the data. Comprehensive studies withdifferent parton distribution functions demonstrate the necessity ofconsidering the joint resummation in fits of those functions based on the LHCjet data.

Phenomenology of single-inclusive jet production with jet radius and threshold resummation