Measurement of differential production cross sections for $Z/{\ensuremath{\gamma}}^{*}$ bosons in association with jets in $p\overline{p}$ collisions at $\sqrt{s}=1.96\text{ }\text{ }\mathrm{TeV}$

Measurement of differential production cross sections for $Z / γ^{*}$ bosons in association with jets in $p \bar{p}$ collisions at $\sqrt{s} = 1.96 TeV$

T. Aaltonen et al. (CDF Collaboration)

Phys. Rev. D 91, 012002 – Published 6 January 2015

Abstract

Differential cross sections for the production of $Z$ bosons or off-shell photons $γ^{*}$ in association with jets are measured in proton-antiproton collisions at center-of-mass energy $\sqrt{s} = 1.96 TeV$ using the full data set collected with the Collider Detector at Fermilab in Tevatron run II and corresponding to $9.6 {fb}^{- 1}$ of integrated luminosity. Results include first measurements at CDF of differential cross sections in events with a $Z / γ^{*}$ boson and three or more jets, the inclusive cross section for production of $Z / γ^{*}$ and four or more jets, and cross sections as functions of various angular observables in lower jet-multiplicity final states. Measured cross sections are compared to several theoretical predictions.

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Received 15 September 2014

DOI:https://doi.org/10.1103/PhysRevD.91.012002

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Vol. 91, Iss. 1 — 1 January 2015

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Figure 1
Dilepton invariant mass distributions for events with at least one jet in the (a) $Z / γ^{*} \to e^{+} e^{-}$ and (b) $Z / γ^{*} \to μ^{+} μ^{-}$ channels. Observed number of events divided by the integrated luminosity (black dots) are compared to the MC expectation (solid blue line), including signal and backgrounds contributions (filled histograms).
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Figure 2
Relative systematic uncertainties as functions of (a) inclusive-jet $p_{T}$ in the $Z / γ^{*} \to e^{+} e^{-}$ channel and (b) inclusive-jet rapidity in the $Z / γ^{*} \to μ^{+} μ^{-}$ channel, for events with $Z / γ^{*} + \geq 1$ jet.
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Figure 3
Parton-to-particle corrections as functions of (a) inclusive-jet $p_{T}$ and (b) inclusive-jet rapidity for $Z / γ^{*} + \geq 1$ jet events. The relative contributions of QED radiation, hadronization, and the underlying event are shown.
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Figure 4
Parton-to-particle corrections as a function of jet multiplicity. The relative contributions of QED radiation, hadronization, and the underlying event are shown.
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Figure 5
Parton-to-particle corrections as functions of (a) inclusive-jet $p_{T}$ and (b) inclusive-jet rapidity for $Z / γ^{*} + \geq 1$ jet events, with various choices of the pythia tune and different matrix-element generators alpgen or powheg.
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Figure 6
Ratio of differential cross sections evaluated with the midpoint and with the SISCone jet algorithms, as functions of (a) inclusive-jet $p_{T}$ and (b) inclusive-jet rapidity in $Z / γ^{*} + \geq 1$ jet events.
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Figure 7
Ratio of differential cross sections evaluated with the midpoint and with the SISCone jet algorithms, as a function of jet multiplicity in $Z / γ^{*} + \geq N_{jets}$ .
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Figure 8
Inclusive $Z / γ^{*} + \geq N$ jets cross section as a function of jet multiplicity. The measured cross section (black dots) is compared to the blackhat+sherpa NLO prediction (open circles). The black vertical bars show the statistical uncertainty, and the yellow bands show the total systematic uncertainty, except for the 5.8% uncertainty on the luminosity. The lower and right panels show the data-to-theory ratio with respect to other theoretical predictions, with the blue dashed bands showing the scale-variation uncertainty of each prediction, which is associated with the variation of the renormalization and factorization scales $μ$ or to the combined variation of $α_{s}^{CKKW}$ and $Λ_{QCD}$ .
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Figure 9
Differential cross section as a function of leading-jet $p_{T}$ for $Z / γ^{*} + \geq 1$ jet events. The measured cross section (black dots) is compared to the loopsim+mcfm $\bar{n} NLO$ prediction (open circles). The black vertical bars show the statistical uncertainty, and the yellow bands show the total systematic uncertainty, except for the 5.8% uncertainty on the luminosity. The lower and right panels show the data-to-theory ratio with respect to other theoretical predictions, with the blue dashed bands showing the scale-variation uncertainty of each prediction, which is associated with the variation of the renormalization and factorization scales $μ$ or to the combined variation of $α_{s}^{CKKW}$ and $Λ_{QCD}$ .
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Figure 10
Differential cross section as a function of inclusive-jet $p_{T}$ for $Z / γ^{*} + \geq 1$ jet events. The measured cross section (black dots) is compared to the loopsim+mcfm $\bar{n} NLO$ prediction (open circles). The black vertical bars show the statistical uncertainty, and the yellow bands show the total systematic uncertainty, except for the 5.8% uncertainty on the luminosity. The lower and right panels show the data-to-theory ratio with respect to other theoretical predictions with the blue dashed bands showing the scale-variation uncertainty of each prediction, which is associated with the variation of the renormalization and factorization scales $μ$ or to the combined variation of $α_{s}^{CKKW}$ and $Λ_{QCD}$ . The red dashed band shows the PDF uncertainty evaluated with the mcfm prediction.
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Figure 11
Differential cross section as a function of inclusive-jet $p_{T}$ for $Z / γ^{*} + \geq 1$ jet events. The measured cross section (black dots) is compared to the mcfm NLO prediction (open circles). The black vertical bars show the statistical uncertainty, and the yellow bands show the total systematic uncertainty, except for the 5.8% uncertainty on the luminosity. The right panels show, from top to bottom, the data-to-theory ratio including variations of $α_{s} (M_{Z})$ (red dashed band) and the factorization scale (green dashed band); various PDF sets and PDF uncertainty (red dashed band); and various choices of the functional form of the factorization and renormalization scales and scale-variation uncertainty (blue dashed band).
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Figure 12
Differential cross section as a function of inclusive-jet rapidity for $Z / γ^{*} + \geq 1$ jet events. The measured cross section (black dots) is compared to the loopsim+mcfm $\bar{n} NLO$ prediction (open circles). The black vertical bars show the statistical uncertainty, and the yellow bands show the total systematic uncertainty, except for the 5.8% uncertainty on the luminosity. The lower and right panels show the data-to-theory ratio with respect to other theoretical predictions, with the blue dashed bands showing the scale-variation uncertainty of each prediction, which is associated with the variation of the renormalization and factorization scales $μ$ or to the combined variation of $α_{s}^{CKKW}$ and $Λ_{QCD}$ . The red dashed band shows the PDF uncertainty evaluated with the mcfm prediction.
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Figure 13
Differential cross section as a function of inclusive-jet rapidity for $Z / γ^{*} + \geq 1$ jet events. The measured cross section (black dots) is compared to the mcfm NLO prediction (open circles). The black vertical bars show the statistical uncertainty, and the yellow bands show the total systematic uncertainty, except for the 5.8% uncertainty on the luminosity. The right panels show, from top to bottom, the data-to-theory ratio including variations of $α_{s} (M_{Z})$ (red dashed band) and factorization scale (green dashed band); various PDF sets and PDF uncertainty (red dashed band); and various choices of the functional form of the factorization and renormalization scales and scale-variation uncertainty (blue dashed band).
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Figure 14
Differential cross section as a function of $Z / γ^{*}$ $p_{T}$ for $Z / γ^{*} + \geq 1$ jet events. The measured cross section (black dots) is compared to the loopsim+mcfm $\bar{n} NLO$ prediction (open circles). The black vertical bars show the statistical uncertainty, and the yellow bands show the total systematic uncertainty, except for the 5.8% uncertainty on the luminosity. The lower and right panels show the data-to-theory ratio with respect to other theoretical predictions, with the blue dashed bands showing the scale-variation uncertainty of each prediction, which is associated with the variation of the renormalization and factorization scales $μ$ or to the combined variation of $α_{s}^{CKKW}$ and $Λ_{QCD}$ .
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Figure 15
Differential cross section as a function of $Z / γ^{*}$ -jet $Δ ϕ$ for $Z / γ^{*} + \geq 1$ jet events. The measured cross section (black dots) is compared to the alpgen+pythia prediction (open circles). The black vertical bars show the statistical uncertainty, and the yellow bands show the total systematic uncertainty, except for the 5.8% uncertainty on the luminosity. The right panels show the data-to-theory ratio with respect to other theoretical predictions, with the blue dashed bands showing the scale-variation uncertainty of each prediction, which is associated with the variation of the renormalization and factorization scales $μ$ or to the combined variation of $α_{s}^{CKKW}$ and $Λ_{QCD}$ .
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Figure 16
Differential cross section as a function of $H_{T}^{jet} = \sum p_{T}^{jet}$ for $Z / γ^{*} + \geq 1$ jet events. The measured cross section (black dots) is compared to the loopsim+mcfm $\bar{n} NLO$ prediction (open circles). The black vertical bars show the statistical uncertainty, and the yellow bands show the total systematic uncertainty, except for the 5.8% uncertainty on the luminosity. The lower and right panels show the data-to-theory ratio with respect to other theoretical predictions, with the blue dashed bands showing the scale-variation uncertainty of each prediction, which is associated with the variation of the renormalization and factorization scales $μ$ or to the combined variation of $α_{s}^{CKKW}$ and $Λ_{QCD}$ .
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Figure 17
Differential cross section as a function of second leading-jet $p_{T}$ for $Z / γ^{*} + \geq 2$ jets events. The measured cross section (black dots) is compared to the blackhat+sherpa NLO prediction (open circles). The black vertical bars show the statistical uncertainty, and the yellow bands show the total systematic uncertainty, except for the 5.8% uncertainty on the luminosity. The right panels show the data-to-theory ratio with respect to alpgen+pythia and blackhat+sherpa predictions, with the blue dashed bands showing the scale-variation uncertainty of each prediction, which is associated with the variation of the renormalization and factorization scales $μ$ or to the combined variation of $α_{s}^{CKKW}$ and $Λ_{QCD}$ .
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Figure 18
Differential cross section as a function of inclusive-jet rapidity for $Z / γ^{*} + \geq 2$ jets events. The measured cross section (black dots) is compared to the blackhat+sherpa NLO prediction (open circles). The black vertical bars show the statistical uncertainty, and the yellow bands show the total systematic uncertainty, except for the 5.8% uncertainty on the luminosity. The right panels show the data-to-theory ratio with respect to alpgen+pythia and blackhat+sherpa predictions, with the blue dashed bands showing the scale-variation uncertainty of each prediction, which is associated with the variation of the renormalization and factorization scales $μ$ or to the combined variation of $α_{s}^{CKKW}$ and $Λ_{QCD}$ .
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Figure 19
Differential cross section as a function of dijet mass $M_{j j}$ for $Z / γ^{*} + \geq 2$ jets events. The measured cross section (black dots) is compared to the mcfm NLO prediction (open circles). The black vertical bars show the statistical uncertainty, and the yellow bands show the total systematic uncertainty, except for the 5.8% uncertainty on the luminosity. The right panels show the data-to-theory ratio with respect to alpgen+pythia and mcfm predictions, with the blue dashed bands showing the scale-variation uncertainty of each prediction, which is associated with the variation of the renormalization and factorization scales $μ$ or to the combined variation of $α_{s}^{CKKW}$ and $Λ_{QCD}$ .
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Figure 20
Differential cross section as a function of dijet $Δ R$ for $Z / γ^{*} + \geq 2$ jets events. The measured cross section (black dots) is compared to the mcfm NLO prediction (open circles). The black vertical bars show the statistical uncertainty, and the yellow bands show the total systematic uncertainty, except for the 5.8% uncertainty on the luminosity. The right panels show the data-to-theory ratio with respect to alpgen+pythia and mcfm predictions, with the blue dashed bands showing the scale-variation uncertainty of each prediction, which is associated with the variation of the renormalization and factorization scales $μ$ or to the combined variation of $α_{s}^{CKKW}$ and $Λ_{QCD}$ .
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Figure 21
Differential cross section as a function of dijet $Δ ϕ$ for $Z / γ^{*} + \geq 2$ jets events. The measured cross section (black dots) is compared to the mcfm NLO prediction (open circles). The black vertical bars show the statistical uncertainty, and the yellow bands show the total systematic uncertainty, except for the 5.8% uncertainty on the luminosity. The right panels show the data-to-theory ratio with respect to alpgen+pythia and mcfm predictions, with the blue dashed bands showing the scale-variation uncertainty of each prediction, which is associated with the variation of the renormalization and factorization scales $μ$ or to the combined variation of $α_{s}^{CKKW}$ and $Λ_{QCD}$ .
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Figure 22
Differential cross section as a function of dijet $Δ y$ for $Z / γ^{*} + \geq 2$ jets events. The measured cross section (black dots) is compared to the mcfm NLO prediction (open circles). The black vertical bars show the statistical uncertainty, and the yellow bands show the total systematic uncertainty, except for the 5.8% uncertainty on the luminosity. The right panels show the data-to-theory ratio with respect to alpgen+pythia and mcfm predictions, with the blue dashed bands showing the scale-variation uncertainty of each prediction, which is associated with the variation of the renormalization and factorization scales $μ$ or to the combined variation of $α_{s}^{CKKW}$ and $Λ_{QCD}$ .
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Figure 23
Differential cross section as a function of the dihedral angle $θ_{Z, j j}$ for $Z / γ^{*} + \geq 2$ jets events. The measured cross section (black dots) is compared to the mcfm NLO prediction (open circles). The black vertical bars show the statistical uncertainty, and the yellow bands show the total systematic uncertainty, except for the 5.8% uncertainty on the luminosity. The right panels show the data-to-theory ratio with respect to alpgen+pythia and mcfm predictions, with the blue dashed bands showing the scale-variation uncertainty of each prediction, which is associated with the variation of the renormalization and factorization scales $μ$ or to the combined variation of $α_{s}^{CKKW}$ and $Λ_{QCD}$ .
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Figure 24
Differential cross section as a function of (a) third leading-jet $p_{T}$ and (b) inclusive-jet rapidity for $Z / γ^{*} + \geq 3$ jets events. The measured cross section (black dots) is compared to the blackhat+sherpa NLO prediction (open circles). The black vertical bars show the statistical uncertainty, and the yellow bands show the total systematic uncertainty, except for the 5.8% uncertainty on the luminosity. The lower panels show the data-to-theory ratio, with the blue dashed bands showing the scale-variation uncertainty, which is associated with the variation of the renormalization and factorization scales $μ$ .
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Physical Review D

covering particles, fields, gravitation, and cosmology

Measurement of differential production cross sections for $Z / γ^{*}$ bosons in association with jets in $p \bar{p}$ collisions at $\sqrt{s} = 1.96 TeV$

T. Aaltonen et al. (CDF Collaboration)

Phys. Rev. D 91, 012002 – Published 6 January 2015

Abstract

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Physical Review D

covering particles, fields, gravitation, and cosmology

Measurement of differential production cross sections for Z/γ* bosons in association with jets in pp¯ collisions at s=1.96 TeV

T. Aaltonen et al. (CDF Collaboration)

Phys. Rev. D 91, 012002 – Published 6 January 2015

Abstract

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Measurement of differential production cross sections for $Z / γ^{*}$ bosons in association with jets in $p \bar{p}$ collisions at $\sqrt{s} = 1.96 TeV$