Abstract

The inclusive jet cross section for proton–proton collisions at a centre-of-mass energy of 7,text {TeV} was measured by the CMS Collaboration at the LHC with data corresponding to an integrated luminosity of 5.0,text {fb}^{-1}. The measurement covers a phase space up to 2,text {TeV} in jet transverse momentum and 2.5 in absolute jet rapidity. The statistical precision of these data leads to stringent constraints on the parton distribution functions of the proton. The data provide important input for the gluon density at high fractions of the proton momentum and for the strong coupling constant at large energy scales. Using predictions from perturbative quantum chromodynamics at next-to-leading order, complemented with electroweak corrections, the constraining power of these data is investigated and the strong coupling constant at the Z boson mass M_{mathrm{Z}} is determined to be alpha _S(M_{mathrm{Z}}) = 0.1185pm 0.0019,(text {exp})^{+0.0060}_{-0.0037},text {(theo)} , which is in agreement with the world average.

Highlights

  • Collimated streams of particles, conventionally called jets, are abundantly produced in highly energetic proton–proton collisions at the LHC

  • An extensive quantum chromodynamics (QCD) study has been performed based on the CMS inclusive jet data in Ref. [1]

  • Employing global parton distribution functions (PDFs), where the gluon is constrained through data from various experiments, the strong coupling constant has been determined to be αS(MZ) = 0.1185 ± 0.0019 ± 0.0028 (PDF) ± 0.0004 (NP)−+00..00002543, which is consistent with previous results

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Summary

Introduction

Collimated streams of particles, conventionally called jets, are abundantly produced in highly energetic proton–proton collisions at the LHC. Indispensable ingredients for QCD predictions of cross sections in pp collisions are the proton structure, expressed in terms of parton distribution functions (PDFs), and the strong coupling constant αS, which is a fundamental parameter of QCD. The large cross section for jet production at the LHC and the unprecedented experimental precision of the jet measurements allow stringent tests of QCD. When jet production cross sections are combined with inclusive data from deep-inelastic scattering (DIS), the gluon PDF for x 0.01 can be constrained and αS(MZ) can be determined. This is demonstrated by means of the CMS measurement of inclusive jet production [1]. A PDF study using inclusive jet measurements by the ATLAS Collaboration is described in Ref.

Overview of the CMS detector and of the measurement
Experimental uncertainties
Uncertainties in JES
Theoretical ingredients
Fixed-order prediction in perturbative QCD
1.20 CMS Simulation
Determination of the strong coupling constant
The fitting procedure
Study of PDF constraints with HERAFITTER
Correlation between inclusive jet production and the PDFs
The HERAFitter setup
Definition of the goodness-of-fit estimator
Treatment of CMS data uncertainties
Determination of PDF uncertainties according to the HERAPDF prescription
Determination of PDF uncertainties using the MC method with regularisation
Combined fit of PDFs and the strong coupling constant
Findings
Summary
Full Text
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