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NNLO QCD corrections for Drell-Yan pTZ and ϕ∗η observables at the LHC.

Gehrmann-De Ridder, A and Gehrmann, T and Glover, E.W.N. and Huss, A and Morgan, T (2016) 'NNLO QCD corrections for Drell-Yan pTZ and ϕ∗η observables at the LHC.', Journal of high energy physics., 2016 (11). 094.


Drell-Yan lepton pairs with finite transverse momentum are produced when the vector boson recoils against (multiple) parton emission(s), and is determined by QCD dynamics. At small transverse momentum, the fixed order predictions break down due to the emergence of large logarithmic contributions. This region can be studied via the pTZ distribution constructed from the energies of the leptons, or through the ϕ∗ηϕη∗ distribution that relies on the directions of the leptons. For sufficiently small transverse momentum, the ϕ∗ηϕη∗ observable can be measured experimentally with better resolution. We study the small pTZ and ϕ∗ηϕη∗ distributions up to next-to-next-to-leading order (NNLO) in perturbative QCD. We compute the ϕ∗ηϕη∗ distributions for the fully inclusive production of lepton pairs via Z/γ∗ to NNLO and normalise them to the NNLO cross sections for inclusive Z/γ∗ production. We compare our predictions with the ϕ∗ηϕη∗ distribution measured by the ATLAS collaboration during LHC operation at 8 TeV. We find that at moderate to large values of ϕ∗ηϕη∗ , the NNLO effects are positive and lead to a substantial improvement in the theory-data comparison compared to next-to-leading order (NLO). At small values of pTZ and ϕ∗ηϕη∗ , the known large logarithmic enhancements emerge through and we identify the region where resummation is needed. We find an approximate relationship between the values of pTZ and ϕ∗ηϕη∗ where the large logarithms emerge and find perturbative consistency between the two observables.

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Publisher statement:This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Date accepted:14 November 2016
Date deposited:09 December 2016
Date of first online publication:17 November 2016
Date first made open access:No date available

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