Abstract
We present accurate QCD predictions for the transverse momentum (p_perp ) spectrum of electroweak gauge bosons at the LHC for 13~mathrm {TeV} collisions, based on a consistent combination of a NNLO calculation at large p_perp and N^3LL resummation in the small p_perp limit. The inclusion of higher order corrections leads to substantial changes in the shape of the differential distributions, and the residual perturbative uncertainties are reduced to the few percent level across the whole transverse momentum spectrum. We examine the ratio of p_perp distributions in charged- and neutral-current Drell–Yan production, and study different prescriptions for the estimate of perturbative uncertainties that rely on different degrees of correlation between these processes. We observe an excellent stability of the ratios with respect to the perturbative order, indicating a strong correlation between the corresponding QCD corrections.
Highlights
We present accurate QCD predictions for the transverse momentum ( p⊥) spectrum of electroweak gauge bosons at the LHC for 13 TeV collisions, based on a consistent combination of a NNLO calculation at large p⊥ and N3LL resummation in the small p⊥ limit
The NNLO corrections to the PDF evolution are formally of order N3LL, we include them in the next-to-leading logarithmic (NLL) and next-to-next-to-leading logarithmic (NNLL) predictions in order to guarantee a consistent treatment of the quark thresholds in the parton densities
We note that this choice will lead to numerical differences in comparison to other NLL and NNLL results shown in the literature
Summary
The differential spectrum of electroweak gauge bosons, measured via their leptonic decays, is among the most prominent observables at the LHC. In kinematical regimes dominated by soft and collinear radiation, the fixed-order perturbative series for the differential p⊥ distribution is affected by large logarithmic terms of the form αsn L2n−1/ p⊥, with L ≡ ln(M/ p⊥), which must be resummed to all orders for a reliable theoretical prediction In such regimes, the perturbative (logarithmic) accuracy is defined in terms of the logarithm of the cumulative cross section as ln ( ( p⊥)) ≡ ln. We reach a new milestone in the theoretical description of transverse momentum distributions in both neutral and charged DY production, aiming for percent level precision throughout the full kinematical range. This is achieved by matching the fixed-order NNLO QCD predictions with the N3LL resummation of large logarithmic corrections.
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