Abstract

An experimental procedure is proposed to perform measurements of differential cross sections for vector boson production which can be compared to fixed-order QCD predictions with improved accuracy. The procedure relies on applying theoretical acceptance corrections computed as a function of the transverse momentum of the W/Z boson, p_T, to the experimental measurement, rather than comparing data directly against fiducial fixed-order predictions. It is demonstrated that, contrary to standard fiducial computations, these acceptance factors vary little at low p_T, so they can be reliably computed using fixed-order perturbation theory. An example analysis is performed using the ATLAS measurement of the Z-boson production cross section at center-of-mass energy of 8 TeV. The resulting full phase space measurement of the cross section differential in the boson rapidity is compared to theoretical predictions computed with next-to-next-to leading-order accuracy in QCD. Further extensions of the approach which include different types of measurements and improved theoretical predictions are discussed.

Highlights

  • Accurate knowledge of parton distribution functions of the proton (PDFs) is essential for the physics program at the LHC

  • For the Z boson, the measurement is performed in bins of the invariant mass of the lepton pair, m, and of the lepton pair rapidity, y

  • The cross sections differential in y, m and η are known at next-to-next-to leading-order (NNLO) accuracy in perturbative QCD [4,5,6,7,8]

Read more

Summary

Introduction

Accurate knowledge of parton distribution functions of the proton (PDFs) is essential for the physics program at the LHC. The cross sections differential in y , m and η are known at next-to-next-to leading-order (NNLO) accuracy in perturbative QCD [4,5,6,7,8] For these observables, the corresponding computations are inclusive in the boson transverse momentum pT and insensitive to ln pT /m divergences, providing a robust input for determination of collinear PDFs. the ATLAS measurement is performed in a fiducial volume with experimental cuts on the lepton transverse momentum and lepton pseudorapidity which are required due to the detector acceptance. It is based on an observation that an acceptance correction from the fiducial to full phase space has moderate dependence on pT , including low pT region, as discussed, so that it can be determined using fixed-order calculations The paper concludes with a discussion of the results, possible applications of the method to other measurements, and possible further studies of theoretical predictions

Formalism
Validation
Estimation of uncertainties
Application and results
Discussion
Findings
Summary
Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call