Azimuthal decorrelation between a jet and a Z boson at hadron colliders

Abstract

We revisit the azimuthal decorrelation $\delta \varphi$ between a jet and a $Z$ boson produced at hadron colliders. Employing different recombination schemes for the jets leads to significantly different NLL-resummed predictions for the distribution of this quantity. Specifically when the jets are reconstructed with the $E$-scheme (i.e., four-momentum addition) in the $k_t$ or anti-$k_t$ clustering algorithms, then the resummation becomes highly non-trivial due to the presence of non-global and/or clustering logarithms. We evaluate these logarithms analytically at two loops and numerically to all orders in the large-${\mathrm{N}}_{\mathrm{c}}$ limit, and present a full NLL resummation of $\delta \varphi$. We extend the accuracy of the perturbative expansion of the resummed distribution at fixed order to NNLL accuracy by including $\mathcal{O}({\alpha }_s)$ NLO corrections obtained with MadGraph5_aMC@NLO. We compare our findings with results of various Monte Carlo event generators and with experimental data from the CMS collaboration.

31 pages, 8 figures

References in corpus (16)

• The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
• An Introduction to PYTHIA 8.2
• Herwig++ Physics and Manual
• LHAPDF6: parton density access in the LHC precision era
• MadAnalysis 5, a user-friendly framework for collider phenomenology
• A standard format for Les Houches Event Files
• QCD radiation in the production of heavy colored particles at the LHC
• On jet mass distributions in Z+jet and dijet processes at the LHC
• On QCD resummation with kt clustering
• Azimuthal decorrelations between QCD jets at all orders
• Lepton-jet Correlation in Deep Inelastic Scattering
• Higher-order non-global logarithms from jet calculus
• Non-global logarithms in hadron collisions at $N_c=3$
• Back-to-back azimuthal correlations in Z+jet events at high transverse momentum in the TMD parton branching method at next-to-leading order
• Jet mass distribution in Higgs/vector boson + jet events at hadron colliders with $k_t$ clustering
• Eikonal amplitudes for three-hard legs processes at finite-N${}_c$

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• The $q_{\mathrm{T}}$ and $\Delta {\varphi }_{t\bar{t}}$ spectra in top-antitop hadroproduction at NNLL+NNLO: the interplay of soft-collinear resummation and Coulomb singularities
• Analytical structure of k${}_t$ clustering to any order
• Hemisphere mass up to four-loops with generalised $k_t$ algorithms
• Structure of non-global logarithms with Cambridge/Aachen clustering