Abstract
We perform a detailed study of inclusive jet production cross sections at the LHC and compare the QCD theory predictions based on the recently developed formalism for threshold and jet radius joint resummation at next-to-leading logarithmic accuracy to inclusive jet data collected by the CMS collaboration at $\sqrt{S} = 7$ and $13$TeV. We compute the cross sections at next-to-leading order in QCD with and without the joint resummation for different choices of jet radii $R$ and observe that the joint resummation leads to crucial improvements in the description of the data. Comprehensive studies with different parton distribution functions demonstrate the necessity of considering the joint resummation in fits of those functions based on the LHC jet data.
Highlights
Long-term persistence in achieving higher-order calculations in perturbative quantum chromodynamics paves the way to the precision frontier at the Large Hadron Collider (LHC)
We have provided a detailed study of perturbative quantum chromodynamics (pQCD) calculations from first principles for cross sections of single-inclusive jet production at the LHC
Significant differences between the next-to-leading order (NLO) and the NLO þ next-to-leading logarithmic (NLL) joint resummation predictions have been observed in the kinematic regions of interest for the LHC analyses and we have found that these differences account for the discrepancy between the NLO predictions and the LHC data for the jet pT spectrum in various rapidity bins collected by the CMS experiment at various center-ofmass energies
Summary
Long-term persistence in achieving higher-order calculations in perturbative quantum chromodynamics (pQCD) paves the way to the precision frontier at the Large Hadron Collider (LHC). For some natural scale choices, such as identifying μR and μF with the transverse momentum pmT ax of the leading jet in the event, i.e., μR 1⁄4 μF 1⁄4 pmT ax, the theory description of the data at NNLO deteriorates compared to NLO. This situation implies the existence of potentially large higherorder corrections beyond fixed NNLO.
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