The $q_T$ and $\Delta \varphi$ spectra in W and Z production at the LHC at N${}^3$LL'+N${}^2$LO

Abstract

The production of weak gauge bosons, $W^{\pm }$ and $Z$, are at the core of the LHC precision measurement program. Their transverse momentum spectra as well as their pairwise ratios are key theoretical inputs to many high-precision analyses, ranging from the $W$ mass measurement to the determination of parton distribution functions. Owing to the different properties of the $W$ and $Z$ boson and the different accessible fiducial regions for their measurement, a simple one-dimensional correlation is insufficient to capture the differing vector and axial-vector dynamics of the produced lepton pair. We propose to correlate them in two observables, the transverse momentum $q_T$ of the lepton pair and its azimuthal separation $\Delta \varphi$. Both quantities are purely transverse and therefore accessible in all three processes, either directly or by utilising the missing transverse momentum of the event. We calculate all the single-differential $q_T$ and $\Delta \varphi$ as well as the double-differential $(q_T,\Delta \varphi )$ spectra for all three processes at N${}^3$LL'+N${}^2$LO accuracy, resumming small transverse momentum logarithms in the soft-collinear effective theory approach and including all singlet and non-singlet contributions. Using the double-differential cross sections we build the pairwise ratios ${\mathcal{R}}_{W^{+}/Z},{\mathcal{R}}_{W^{-}/Z},{\mathcal{R}}_{W^{+}/W^{-}}$ and determine their uncertainties assuming fully correlated, partially correlated, and uncorrelated uncertainties in the respective numerators and denominators. In the preferred partially correlated case we find uncertainties of less than 1% in most phase space regions and up to 3% in the lowest $q_T$ region.

References in corpus (31)

• Event generation with SHERPA 1.1
• LHAPDF6: parton density access in the LHC precision era
• Vector boson production at hadron colliders: a fully exclusive QCD calculation at NNLO
• Electroweak gauge boson production at hadron colliders through O(alpha_s^2)
• Drell-Yan production at small q_T, transverse parton distributions and the collinear anomaly
• OneLOop: for the evaluation of one-loop scalar functions
• Robust Independent Validation of Experiment and Theory: Rivet version 3
• The Zero-Bin and Mode Factorization in Quantum Field Theory
• Quark and gluon form factors to three loops
• Automating dipole subtraction for QCD NLO calculations
• Production of Drell--Yan lepton pairs in hadron collisions: transverse-momentum resummation at next-to-next-to-leading logarithmic accuracy
• The W boson production cross section at the LHC through O(alpha_s^2)
• Soft-/rapidity- anomalous dimensions correspondence
• Performance of the CMS missing transverse energy reconstruction in pp data at sqrt(s) = 8 TeV
• Mixed QCD-electroweak O(α_sα) corrections to Drell-Yan processes in the resonance region: pole approximation and non-factorizable corrections
• Electroweak corrections to W + jet hadroproduction including leptonic W-boson decays
• Precision electroweak calculation of the charged current Drell-Yan process
• Extraction of unpolarized quark transverse momentum dependent parton distributions from Drell-Yan/Z-boson production
• One-loop corrections to the Drell--Yan process in SANC (II). The neutral current case
• Optimisation of variables for studying dilepton transverse momentum distributions at hadron colliders
• Resummation of Transverse Momentum Distributions in Distribution Space
• Higgs boson production at the LHC: transverse-momentum resummation and rapidity dependence
• Non-perturbative QCD effects in $q_T$ spectra of Drell-Yan and $Z$-boson production
• A Novel Technique for Studying the Z Boson Transverse Momentum Distribution at Hadron Colliders
• Predictions for Drell-Yan ϕ* and Q_T observables at the LHC
• Precise predictions for the angular coefficients in Z-boson production at the LHC
• Transverse Parton Distribution and Fragmentation Functions at NNLO: the Gluon Case
• QCD predictions for new variables to study dilepton transverse momenta at hadron colliders
• The impact of the LHC Z-boson transverse momentum data on PDF determinations
• NNLO QCD$\times$EW corrections to Z production in the $q\bar{q}$ channel
• The three-loop singlet contribution to the massless axial-vector quark form factor

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