Measurement of the inclusive jet cross section in $p\overline{p}$ collisions at $\sqrt{s}\mathbf{=}1.96\text{ }\text{ }\mathrm{TeV}$

Measurement of the inclusive jet cross section in $p \bar{p}$ collisions at $\sqrt{s} = 1.96 TeV$

V. M. Abazov et al. (D0 Collaboration)

Phys. Rev. D 85, 052006 – Published 20 March 2012

Abstract

We present a measurement of the inclusive jet cross section using the Run II cone algorithm and data collected by the D0 experiment in $p \bar{p}$ collisions at a center-of-mass energy $\sqrt{s} = 1.96 TeV$ , corresponding to an integrated luminosity of $0.70 {fb}^{- 1}$ . The jet energy calibration and the method used to extract the inclusive jet cross section are described. We discuss the main uncertainties, which are dominated by the jet energy scale uncertainty. The results cover jet transverse momenta from 50 GeV to 600 GeV with jet rapidities in the range $- 2.4$ to 2.4 and are compared to predictions using recent proton parton distribution functions. Studies of correlations between systematic uncertainties in transverse momentum and rapidity are presented.

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Received 17 October 2011

DOI:https://doi.org/10.1103/PhysRevD.85.052006

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Vol. 85, Iss. 5 — 1 March 2012

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Figure 1
(color online) Inclusive jet production cross section for central jets ( $| y | < 0.4$ ) for Run I and Run II energies at the Tevatron obtained using NLO QCD as implemented in nlojet++. The ratio of the two curves is shown in the bottom panel. We note an increase of the Run II cross section with respect to Run I of up to a factor 10 at highest jet $p_{T}$ .
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Figure 2
(color online) Fractional contributions of the $q q$ , $q g$ and $g g$ subprocesses to the inclusive jet cross section for central jets as a function of jet $p_{T}$ and of the fraction of the beam energy carried by the jet, $x_{T}$ .
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Figure 3
Side view of a quadrant of the D0 calorimeters (CC, EC, and ICR) showing the transverse and longitudinal segmentation [15]. The shading pattern indicates the cells for signal readout. The lines indicate the pseudorapidity intervals defined from the center of the detector. The CC covers the region $| η | < 1.2$ and the EC extends the coverage up to $| η | \sim 4.2$ . The intercryostat detector is visible as a thin dark shaded tile between the cryostats, within $1.1 < | η | < 1.4$ , and the massless gap detectors are inside the cryostats, within $0.8 < | η | < 1.2$ (in the CC) and $1.0 < | η | < 1.3$ (in the EC).
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Figure 4
(color online) Uncertainty on the inclusive jet cross section due to the choice of the renormalization and factorization scales $μ_{R}$ and $μ_{F}$ in the NLO QCD calculation using nlojet++.
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Figure 5
(color online) Uncertainty of the CTEQ6.5M gluon PDF (solid lines) in percent compared to the differences between CTEQ6.5M and MRST2004 (dashed line), MSTW2008 (dash-dotted line) central values.
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Figure 6
(color online) Offset corrections as a function of the jet pseudorapidity in the detector (without taking into account the vertex position) for different numbers of reconstructed primary vertices $N_{PV}$ . The special case $N_{PV} = 1$ includes only the noise contribution to the offset.
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Figure 7
(color online) Extrapolation of the jet energy response in the CC at high $E^{'}$ using the rescaled MC (see the main text) and a fit to the MC points. The dotted line shows a simple quadratic-logarithmic fit to data for comparison with the tuned MC results displayed by the solid line. We also display in the bottom panel the relative difference between both curves and the statistical uncertainty on the fit to the rescaled MC in dashed lines.
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Figure 8
(color online) Different sources of uncertainty on the jet $p_{T}$ response in the CC: photon energy scale, photon identification, fragmentation, and PDF.
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Figure 9
The (a-c) parameters of the $η$ -dependent correction and (d) the $η$ -dependent scaling factor applied to the dijet samples. The sharp features are due to changes in the detector structure, moving from the central to forward calorimeters.
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Figure 10
Fits of $F_{η}$ in $γ + jet$ and dijet data for two different regions in $η$ as a function of $E^{'}$ . The central fit values and the uncertainty band are displayed on the figure.
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Figure 11
Relative uncertainties on the $η$ -dependent corrections as a function of jet detector rapidity.
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Figure 12
(color online) Quark- and gluon-initiated jet responses and their relative differences for CC jets as a function of $E^{'}$ .
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Figure 13
(color online) Fraction of gluon-initiated jets in $γ + jet$ and dijet events in the CC.
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Figure 14
(color online) Jet energy profiles as a function of distance from the jet axis $Δ R$ for MC and data used to compute showering corrections. The data are corrected for offset energy from noise and additional $p \bar{p}$ collisions and are compared to MC jets without offset (jet) and contributions from the underlying event (not-jet). We note the good agreement between data and the sum of energy contributions from inside and outside the jet in MC.
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Figure 15
(color online) Jet showering corrections shown as a function of jet $p_{T}$ for different regions of jet pseudorapidity.
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Figure 16
(color online) Topology bias in the MPF method for jet $p_{T}$ response.
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Figure 17
Bias in the measurement of jet energy, $k_{O}$ , due to zero-suppression effects on the offset correction, shown as a function of $p_{T}^{'}$ for central jets and different number of reconstructed vertices.
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Figure 18
Zero-suppression bias $k_{O} / k_{R}$ in CC. The outer solid lines show the uncertainty attributed to the bias correction and the $1 σ$ contours.
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Figure 19
(color online) Rapidity bias obtained in MC for different jet energies $E$ . The curves cover the range $p_{T} > 30 GeV$ and $| y_{jet} | < 2.4$ .
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Figure 20
(color online) Jet energy scale corrections as a function of jet $p_{T}$ for (a) central and (b) forward rapidity, and as a function of jet rapidity for (c) low and (d) high jet $p_{T}$ .
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Figure 21
(color online) Jet energy scale uncertainties as a function of jet $p_{T}$ for (a) central and (b) forward rapidity, and as a function of jet pseudorapidity for (c) low and (d) high jet $p_{T}$ .
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Figure 22
Closure test of jet energy scale in MC for (a) $| η_{\det} | < 0.4$ and (b) $0.4 < | η_{\det} | < 0.8$ . The band outlined by the solid curves corresponds to the uncertainties in the extraction of jet energy scale in MC which are mainly statistical.
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Figure 23
(color online) Inclusive jet $p_{T}$ cross section without unfolding corrections for the different single jet triggers as a function of jet $p_{T}$ for (a) $| y | < 0.4$ and (b) $2.0 < | y | < 2.4$ . The average prescales are 34000, 7100, 460, 41, 9.6, 1.4 and 1 for the 8, 15, 25, 45, 65, 95, and 125 GeV triggers, respectively.
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Figure 24
(color online) Ratio of two consecutive jet triggers used to obtain the relative jet trigger efficiency for the 95 and 65 GeV single jet triggers. The fit of the turn-on curve determines the 95 GeV jet $p_{T}$ 99%-threshold to be 130 GeV. A higher threshold of 160 GeV that is consistent with an efficiency $ϵ = 1.00$ is used in the final analysis.
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Figure 25
(color online) Vertex acceptance for the requirement on the $z$ -vertex position $| z_{vertex} | < 50$ cm as a function of instantaneous luminosity. The shaded band indicates the variation for different running periods.
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Figure 26
(color online) Distribution of $p_{T, lead} / {E̸}_{T}$ for jet events with leading jet $p_{T} > 200 GeV$ . A peak from cosmic ray background is visible around 1. The shaded region shows jets passing the $p_{T, lead} / {E̸}_{T}$ requirement.
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Figure 27
(color online) Jet identification efficiencies obtained for the dijet sample. Dashed lines indicate the systematic uncertainty.
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Figure 28
(color online) Asymmetry distribution for jets in the central region with $80 < p_{T} < 100 GeV$ . The probe jet is at $| y | < 0.4$ , the reference jet at $| y_{ref} | < 0.8$ . The two lines display the result of a Gaussian fit and a Gaussian with smeared exponential tails (see Sec. 9c).
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Figure 29
(a) Jet $p_{T}$ resolution extrapolated to a jet $p_{T}$ reconstruction threshold of 0 GeV (in the $80 < p_{T} < 100 GeV$ and $| y | < 0.4$ bin). (b) Soft-radiation correction factor as a function of the average jet $p_{T}$ for the $0.4 < | y | < 0.8$ bin. The solid lines are the fit result and the dashed lines are the result of the extrapolations.
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Figure 30
(color online) Jet $p_{T}$ resolution determined in data for the six rapidity regions. The solid curves are the results of the fit. The fit uncertainty is given by the shaded band.
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Figure 31
(color online) (a) example of punch-through for $| y | < 0.4$ at high jet $p_{T}$ for $300 < p_{T} < 400 GeV$ and $| y | < 0.4$ . (b) example of tails of the jet $p_{T}$ resolution in the ICR for $160 < p_{T} < 200 GeV$ and $0.8 < | y | < 1.2$ . The two curves are the result of the Gaussian fit and of a Gaussian plus exponential tails.
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Figure 32
(color online) Relative statistical and systematic uncertainties on jet $p_{T}$ resolution for (a) $| y | < 0.4$ and (b) $2.0 < | y_{jet} | < 2.4$ .
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Figure 33
(color online) Rapidity resolution (RMS) as a function of $y$ in different jet $p_{T}$ regions.
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Figure 34
Data divided by the ansatz fit with models for $p_{T}$ and $y$ smearing in the six rapidity regions.
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Figure 35
(color online) Unfolding corrections in the six rapidity regions as a function of jet $p_{T}$ . The corrections are given for $p_{T}$ , $y$ unfolding separately and combined.
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Figure 36
(color online) Inclusive jet cross section measurements as a function of jet $p_{T}$ in six $| y |$ bins. The data points are multiplied by 2, 4, 8, 16, and 32 for the bins $1.6 < | y | < 2.0$ , $1.2 < | y | < 1.6$ , $0.8 < | y | < 1.2$ , $0.4 < | y | < 0.8$ , and $| y | < 0.4$ , respectively.
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Figure 37
(color online) MC closure test of the method used to extract the inclusive jet $p_{T}$ cross section for the jet $| y | < 0.4$ bin. The full analysis was repeated treating MC events as data and comparing the result to the input cross section. Good agreement is found within the statistical uncertainties of fits to jet energy scale and resolution, and unfolding present in MC (shaded band), which are much smaller than the systematic uncertainties in data.
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Figure 38
(color online) Hadronization (dashed line) and underlying event (dotted line) corrections for inclusive jet cross section and the product of both corrections (solid line). The uncertainty on the theory is estimated as 50% of the individual corrections added in quadrature.
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Figure 39
(color online) Measured data divided by theory for the inclusive jet cross section as a function of jet $p_{T}$ in the six $| y |$ bins. The data systematic uncertainties are displayed by the shaded band. NLO pQCD calculations, with renormalization and factorization scales set to jet $p_{T}$ using the CTEQ6.5M PDFs and including nonperturbative corrections, are compared to the data. The CTEQ6.5 PDF uncertainties are shown as dashed lines and the predictions with MRST2004 PDFs as dotted lines. The theoretical uncertainty, determined by changing the renormalization and factorization scales between $p_{T} / 2$ and $2 p_{T}$ , is shown at the bottom of each figure.
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Figure 40
(color online) Measured data divided by theory for the inclusive jet cross section as a function of jet $p_{T}$ in the six $| y |$ bins using the MSTW2008 parameterization. The data systematic uncertainties are displayed by the shaded band. The theoretical uncertainty, determined by changing the renormalization and factorization scales between $p_{T} / 2$ and $2 p_{T}$ , is shown at the bottom of each figure.
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Figure 41
(color online) Measured data divided by theory for the inclusive jet cross section as a function of jet $p_{T}$ in the six $| y |$ bins using the HERAPDF1.0 parameterization. The data systematic uncertainties are displayed by the shaded band. The theoretical uncertainty, determined by changing the renormalization and factorization scales between $p_{T} / 2$ and $2 p_{T}$ , is shown at the bottom of each figure.
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Figure 42
(color online) Measured data divided by theory for the inclusive jet cross section as a function of jet $p_{T}$ in the six $| y |$ bins using the ABKM09 parameterization. The data systematic uncertainties are displayed by the shaded band. The theoretical uncertainty, determined by changing the renormalization and factorization scales between $p_{T} / 2$ and $2 p_{T}$ , is shown at the bottom of each figure.
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Figure 43
(color online) Measured data divided by theory for the inclusive jet cross section as a function of jet $p_{T}$ in the six $| y |$ bins using the CT10 parameterization. The data systematic uncertainties are displayed by the shaded band. The theoretical uncertainty, determined by changing the renormalization and factorization scales between $p_{T} / 2$ and $2 p_{T}$ , is shown at the bottom of each figure.
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Figure 44
(color online) Measured data divided by theory for the inclusive jet cross section as a function of jet $p_{T}$ in the six $| y |$ bins using the NNPDFv2.1 parameterization. The data systematic uncertainties are displayed by the shaded band. The theoretical uncertainty, determined by changing the renormalization and factorization scales between $p_{T} / 2$ and $2 p_{T}$ , is shown at the bottom of each figure.
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Figure 45
(color online) Different components of the systematic uncertainty as a function of jet $p_{T}$ in the six $y$ bins.
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Figure 46
(color online) Correlated uncertainties for all central regions and the ICR as a function of jet $p_{T}$ for four $| y |$ bins, $| y | < 0.4$ , $0.4 < | y | < 0.8$ , $0.8 < | y | < 1.2$ , and $1.2 < | y | < 1.6$ . The five largest systematic uncertainties are shown together with uncorrelated and total uncertainties, computed as the sum in quadrature of all sources.
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Figure 47
(color online) Correlated uncertainties for $1.6 < | y | < 2.0$ and $2.0 < | y | < 2.4$ as a function of jet $p_{T}$ . The five largest systematic uncertainties are shown together with uncorrelated and total uncertainties, computed as the sum in quadrature of all sources.
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Physical Review D

covering particles, fields, gravitation, and cosmology

Measurement of the inclusive jet cross section in $p \bar{p}$ collisions at $\sqrt{s} = 1.96 TeV$

V. M. Abazov et al. (D0 Collaboration)

Phys. Rev. D 85, 052006 – Published 20 March 2012

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Physical Review D

covering particles, fields, gravitation, and cosmology

Measurement of the inclusive jet cross section in pp¯ collisions at s=1.96 TeV

V. M. Abazov et al. (D0 Collaboration)

Phys. Rev. D 85, 052006 – Published 20 March 2012

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Measurement of the inclusive jet cross section in $p \bar{p}$ collisions at $\sqrt{s} = 1.96 TeV$