Abstract

This review summarises the main results on the production of single vector bosons in the Standard Model, both inclusively and in association with light and heavy flavour jets, at the Large Hadron Collider in proton-proton collisions at a center-of-mass energy of 7 TeV. The general purpose detectors at this collider, ATLAS and CMS, each recorded an integrated luminosity of $\approx 40\,{\rm pb^{-1}}$ and $5\,{\rm fb^{-1}}$ in the years 2010 and 2011, respectively. The corresponding data offer the unique possibility to precisely study the properties of the production of heavy vector bosons in a new energy regime. The accurate understanding of the Standard Model is not only crucial for searches of unknown particles and phenomena but also to test predictions of perturbative Quantum-Chromo-Dynamics calculations and for precision measurements of observables in the electroweak sector. Results from a variety of measurements in which single W or Z bosons are identified are reviewed. Special emphasis in this review is given to interpretations of the experimental results in the context of state-of-the-art predictions.

Highlights

  • X values of the two interacting partons at leading order in the reaction pp → Z /γ ∗ for LHC and SPS and p p → Z /γ ∗ for Tevatron, respectively

  • This review article summarises the major results of the single W√ and Z production in the proton–proton collision data at s = 7 TeV recorded in the years 2010 and 2011 at the LHC by the two general purpose experiments, ATLAS and Compact Muon Solenoid (CMS)

  • As the lowest-order matrix-element term for W and Z production is a frequent example in many particle physics textbooks, we extend the formalism in Sect. 2.2 by discussing higher-order corrections from the QCD and Electroweak theories and emphasise why these are important to the experimental measurements

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Summary

Vector Boson Production in the Standard Model

The electroweak Lagrangian of the Standard Model after electroweak symmetry breaking, i.e. after the Higgs boson has acquired a vacuum expectation value, can be written as [35]. The kinetic term, LK , describes the free movement all fermions and bosons. Where Jμem describes the electromagnetic current, i.e. the sum over all fermion fields weighted by their electromagnetic charges, and Jμ3 represents the weak current, involving only left-handed particles and right-handed anti-particles with their respective weak isospins. We will concentrate on the terms of the Electroweak Lagrangian represented in Eqs. 2 and 3, as they describe the single vector boson production within the Standard Model. Before discussing the experimental results, we first review the central parts of the theoretical predictions of the gauge boson production cross sections at the LHC. 2.1 the calculation of the cross section is defined, which is shown to consist of two main parts; the matrix-element term describing the parton interactions and the parton distribution functions describing the proton. Related overview articles on parton density functions at next-toleading order at hadron colliders and subsequently jet in electron–proton physics can be found in [39,40], respectively

Cross-section calculations
Leading-order calculations
Perturbative QCD corrections and jets
Electroweak corrections
Parton shower models
Parton distribution functions and scale dependencies
Hadronisation
Multiple purpose event generators
Leading-order and NLO matrix-element calculations
Parton shower matching
NLO generators
NLO calculations and non-perturbative corrections
QCD dynamics and angular coefficients
Calculations based on resummation
Overview and predicted inclusive cross sections
Differential cross section of the Drell–Yan process
Interpretation of coefficients
Detectors and data
Coordinate system
The ATLAS detector
The CMS detector
Reconstructed objects
Hadronic jets and missing energy reconstruction
Detector simulation and calibration
Production cross section measurements at the LHC
Event selection and background estimates
Signal selection and background estimations of W boson events
Inclusive and differential cross-section measurements
Inclusive cross-section measurements
CMS Results
Transverse momentum measurements of vector bosons
Determination of ΓW
Forward–backward asymmetries of the Z boson
Polarisation measurement of W bosons
Vector boson production in association with jets
Electroweak production of Z bosons
Summary and outlook
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