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| CMS-PAS-TOP-12-028 | ||
| Measurement of the differential top-quark pair production cross section in the dilepton channel in pp collisions at $ \sqrt{s} = $ 8 TeV | ||
| CMS Collaboration | ||
| 2013 | ||
| Abstract: Normalised differential top-quark pair production cross sections are measured in pp collisions at a centre-of-mass energy of 8 TeV at the LHC with the CMS detector using data recorded in 2012 corresponding to an integrated luminosity of 12.2 fb$^{-1}.$ The measurements are performed in the dilepton decay channels ($\mathrm{e^+e^-}$, $\mu^+\mu^-$, and $\mu^{\pm} \mathrm{e^{\mp}}$). The $\mathrm{t \bar t}$ production cross section is measured as a function of kinematic properties of the final-state charged leptons and jets associated to b quarks, as well as those of the top quarks and the $\mathrm{t \bar t}$ system. The data are compared with several predictions from perturbative QCD calculations up to approximate next-to-next-to-leading-order precision. No significant deviations from the standard model are observed. | ||
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Links:
CDS record (PDF) ;
inSPIRE record ;
CADI line (restricted) ;
These preliminary results are superseded in this paper, EPJC 75 (2015) 542. The superseded preliminary plots can be found here. |
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| Figures | |
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Figure 1-a:
Kinematic distributions after event selection for the dilepton channels. The (a) plot shows the multiplicity of the reconstructed b-tagged jets. The multiplicity of the reconstructed jets (b), the ${p_{\mathrm {T}}}$ of the highest ${p_{\mathrm {T}}}$ (leading) isolated leptons (c), and the ${p_{\mathrm {T}}}$ of the leading b jet (d) are shown after the b-tagging requirement. The normalisation of the Z/$\gamma ^{*}$+jets background is determined from data. |
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Figure 1-b:
Kinematic distributions after event selection for the dilepton channels. The (a) plot shows the multiplicity of the reconstructed b-tagged jets. The multiplicity of the reconstructed jets (b), the ${p_{\mathrm {T}}}$ of the highest ${p_{\mathrm {T}}}$ (leading) isolated leptons (c), and the ${p_{\mathrm {T}}}$ of the leading b jet (d) are shown after the b-tagging requirement. The normalisation of the Z/$\gamma ^{*}$+jets background is determined from data. |
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Figure 1-c:
Kinematic distributions after event selection for the dilepton channels. The (a) plot shows the multiplicity of the reconstructed b-tagged jets. The multiplicity of the reconstructed jets (b), the ${p_{\mathrm {T}}}$ of the highest ${p_{\mathrm {T}}}$ (leading) isolated leptons (c), and the ${p_{\mathrm {T}}}$ of the leading b jet (d) are shown after the b-tagging requirement. The normalisation of the Z/$\gamma ^{*}$+jets background is determined from data. |
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Figure 1-d:
Kinematic distributions after event selection for the dilepton channels. The (a) plot shows the multiplicity of the reconstructed b-tagged jets. The multiplicity of the reconstructed jets (b), the ${p_{\mathrm {T}}}$ of the highest ${p_{\mathrm {T}}}$ (leading) isolated leptons (c), and the ${p_{\mathrm {T}}}$ of the leading b jet (d) are shown after the b-tagging requirement. The normalisation of the Z/$\gamma ^{*}$+jets background is determined from data. |
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Figure 2-a:
Distribution of the leading top quark (a) and of ${\mathrm{ t \bar{t} } } $ quantities (b) as obtained from the kinematic reconstruction. The (a,b) plots show the transverse momenta, and the (c,s) plots show the rapidities. The normalisation of the Z/$\gamma ^{*}$+jets background is determined from data. |
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Figure 2-b:
Distribution of the leading top quark (a) and of ${\mathrm{ t \bar{t} } } $ quantities (b) as obtained from the kinematic reconstruction. The (a,b) plots show the transverse momenta, and the (c,s) plots show the rapidities. The normalisation of the Z/$\gamma ^{*}$+jets background is determined from data. |
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Figure 2-c:
Distribution of the leading top quark (a) and of ${\mathrm{ t \bar{t} } } $ quantities (b) as obtained from the kinematic reconstruction. The (a,b) plots show the transverse momenta, and the (c,s) plots show the rapidities. The normalisation of the Z/$\gamma ^{*}$+jets background is determined from data. |
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Figure 2-d:
Distribution of the leading top quark (a) and of ${\mathrm{ t \bar{t} } } $ quantities (b) as obtained from the kinematic reconstruction. The (a,b) plots show the transverse momenta, and the (c,s) plots show the rapidities. The normalisation of the Z/$\gamma ^{*}$+jets background is determined from data. |
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Figure 3-a:
Normalised differential ${\mathrm{ t \bar{t} } } $ production cross section as a function of the $ {p_{\mathrm {T}}} ^{\ell }$ (a,b) and $\eta ^{\ell }$ (c,d) of the leading and next-to-leading lepton, and the $ {p_{\mathrm {T}}} ^{\ell ^{+}\ell ^{-}}$ (e), and $m^{\ell ^{+}\ell ^{-}}$ (f) of the lepton pair. The superscript `$\ell $' refers to both $\ell ^{+}$ and $\ell ^{-}$. The inner (outer) error bars indicate the statistical (combined statistical and systematic) uncertainty. The measurements are compared to predictions from MadGraph +PYTHIA , POWHEG +PYTHIA , and MC@NLO+HERWIG. The MadGraph +PYTHIA prediction is shown both as a curve and as a binned histogram. |
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Figure 3-b:
Normalised differential ${\mathrm{ t \bar{t} } } $ production cross section as a function of the $ {p_{\mathrm {T}}} ^{\ell }$ (a,b) and $\eta ^{\ell }$ (c,d) of the leading and next-to-leading lepton, and the $ {p_{\mathrm {T}}} ^{\ell ^{+}\ell ^{-}}$ (e), and $m^{\ell ^{+}\ell ^{-}}$ (f) of the lepton pair. The superscript `$\ell $' refers to both $\ell ^{+}$ and $\ell ^{-}$. The inner (outer) error bars indicate the statistical (combined statistical and systematic) uncertainty. The measurements are compared to predictions from MadGraph +PYTHIA , POWHEG +PYTHIA , and MC@NLO+HERWIG. The MadGraph +PYTHIA prediction is shown both as a curve and as a binned histogram. |
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Figure 3-c:
Normalised differential ${\mathrm{ t \bar{t} } } $ production cross section as a function of the $ {p_{\mathrm {T}}} ^{\ell }$ (a,b) and $\eta ^{\ell }$ (c,d) of the leading and next-to-leading lepton, and the $ {p_{\mathrm {T}}} ^{\ell ^{+}\ell ^{-}}$ (e), and $m^{\ell ^{+}\ell ^{-}}$ (f) of the lepton pair. The superscript `$\ell $' refers to both $\ell ^{+}$ and $\ell ^{-}$. The inner (outer) error bars indicate the statistical (combined statistical and systematic) uncertainty. The measurements are compared to predictions from MadGraph +PYTHIA , POWHEG +PYTHIA , and MC@NLO+HERWIG. The MadGraph +PYTHIA prediction is shown both as a curve and as a binned histogram. |
png pdf |
Figure 3-d:
Normalised differential ${\mathrm{ t \bar{t} } } $ production cross section as a function of the $ {p_{\mathrm {T}}} ^{\ell }$ (a,b) and $\eta ^{\ell }$ (c,d) of the leading and next-to-leading lepton, and the $ {p_{\mathrm {T}}} ^{\ell ^{+}\ell ^{-}}$ (e), and $m^{\ell ^{+}\ell ^{-}}$ (f) of the lepton pair. The superscript `$\ell $' refers to both $\ell ^{+}$ and $\ell ^{-}$. The inner (outer) error bars indicate the statistical (combined statistical and systematic) uncertainty. The measurements are compared to predictions from MadGraph +PYTHIA , POWHEG +PYTHIA , and MC@NLO+HERWIG. The MadGraph +PYTHIA prediction is shown both as a curve and as a binned histogram. |
png pdf |
Figure 3-e:
Normalised differential ${\mathrm{ t \bar{t} } } $ production cross section as a function of the $ {p_{\mathrm {T}}} ^{\ell }$ (a,b) and $\eta ^{\ell }$ (c,d) of the leading and next-to-leading lepton, and the $ {p_{\mathrm {T}}} ^{\ell ^{+}\ell ^{-}}$ (e), and $m^{\ell ^{+}\ell ^{-}}$ (f) of the lepton pair. The superscript `$\ell $' refers to both $\ell ^{+}$ and $\ell ^{-}$. The inner (outer) error bars indicate the statistical (combined statistical and systematic) uncertainty. The measurements are compared to predictions from MadGraph +PYTHIA , POWHEG +PYTHIA , and MC@NLO+HERWIG. The MadGraph +PYTHIA prediction is shown both as a curve and as a binned histogram. |
png pdf |
Figure 3-f:
Normalised differential ${\mathrm{ t \bar{t} } } $ production cross section as a function of the $ {p_{\mathrm {T}}} ^{\ell }$ (a,b) and $\eta ^{\ell }$ (c,d) of the leading and next-to-leading lepton, and the $ {p_{\mathrm {T}}} ^{\ell ^{+}\ell ^{-}}$ (e), and $m^{\ell ^{+}\ell ^{-}}$ (f) of the lepton pair. The superscript `$\ell $' refers to both $\ell ^{+}$ and $\ell ^{-}$. The inner (outer) error bars indicate the statistical (combined statistical and systematic) uncertainty. The measurements are compared to predictions from MadGraph +PYTHIA , POWHEG +PYTHIA , and MC@NLO+HERWIG. The MadGraph +PYTHIA prediction is shown both as a curve and as a binned histogram. |
png pdf |
Figure 4-a:
Normalised differential ${\mathrm{ t \bar{t} } } $ production cross section as a function of the $ {p_{\mathrm {T}}} ^{\text {b}}$ (a,b) and $\eta ^{\text {b}}$ of the leading and next-to-leading b jet (c,d), and the invariant mass of the lepton and b jet $m^{\ell \rm {b}}$ (e). The superscript `b' refers to both b and b-bar jets. The inner (outer) error bars indicate the statistical (combined statistical and systematic) uncertainty. The measurements are compared to predictions from MadGraph +PYTHIA , POWHEG +PYTHIA , and MC@NLO+HERWIG. The MadGraph +PYTHIA prediction is shown both as a curve and as a binned histogram when available. |
png pdf |
Figure 4-b:
Normalised differential ${\mathrm{ t \bar{t} } } $ production cross section as a function of the $ {p_{\mathrm {T}}} ^{\text {b}}$ (a,b) and $\eta ^{\text {b}}$ of the leading and next-to-leading b jet (c,d), and the invariant mass of the lepton and b jet $m^{\ell \rm {b}}$ (e). The superscript `b' refers to both b and b-bar jets. The inner (outer) error bars indicate the statistical (combined statistical and systematic) uncertainty. The measurements are compared to predictions from MadGraph +PYTHIA , POWHEG +PYTHIA , and MC@NLO+HERWIG. The MadGraph +PYTHIA prediction is shown both as a curve and as a binned histogram when available. |
png pdf |
Figure 4-c:
Normalised differential ${\mathrm{ t \bar{t} } } $ production cross section as a function of the $ {p_{\mathrm {T}}} ^{\text {b}}$ (a,b) and $\eta ^{\text {b}}$ of the leading and next-to-leading b jet (c,d), and the invariant mass of the lepton and b jet $m^{\ell \rm {b}}$ (e). The superscript `b' refers to both b and b-bar jets. The inner (outer) error bars indicate the statistical (combined statistical and systematic) uncertainty. The measurements are compared to predictions from MadGraph +PYTHIA , POWHEG +PYTHIA , and MC@NLO+HERWIG. The MadGraph +PYTHIA prediction is shown both as a curve and as a binned histogram when available. |
png pdf |
Figure 4-d:
Normalised differential ${\mathrm{ t \bar{t} } } $ production cross section as a function of the $ {p_{\mathrm {T}}} ^{\text {b}}$ (a,b) and $\eta ^{\text {b}}$ of the leading and next-to-leading b jet (c,d), and the invariant mass of the lepton and b jet $m^{\ell \rm {b}}$ (e). The superscript `b' refers to both b and b-bar jets. The inner (outer) error bars indicate the statistical (combined statistical and systematic) uncertainty. The measurements are compared to predictions from MadGraph +PYTHIA , POWHEG +PYTHIA , and MC@NLO+HERWIG. The MadGraph +PYTHIA prediction is shown both as a curve and as a binned histogram when available. |
png pdf |
Figure 4-e:
Normalised differential ${\mathrm{ t \bar{t} } } $ production cross section as a function of the $ {p_{\mathrm {T}}} ^{\text {b}}$ (a,b) and $\eta ^{\text {b}}$ of the leading and next-to-leading b jet (c,d), and the invariant mass of the lepton and b jet $m^{\ell \rm {b}}$ (e). The superscript `b' refers to both b and b-bar jets. The inner (outer) error bars indicate the statistical (combined statistical and systematic) uncertainty. The measurements are compared to predictions from MadGraph +PYTHIA , POWHEG +PYTHIA , and MC@NLO+HERWIG. The MadGraph +PYTHIA prediction is shown both as a curve and as a binned histogram when available. |
png pdf |
Figure 5-a:
Normalised differential ${\mathrm{ t \bar{t} } } $ production cross section as a function of the $ {p_{\mathrm {T}}} ^{\text {t}}$ (a,b) and $y^{\text {t}}$ (c,d) of the leading and next-to-leading top quarks or antiquarks. The inner (outer) error bars indicate the statistical (combined statistical and systematic) uncertainty. The measurements are compared to predictions from MadGraph +PYTHIA , POWHEG +PYTHIA , and MC@NLO+HERWIG. The MadGraph +PYTHIA prediction is shown both as a curve and as a binned histogram. |
png pdf |
Figure 5-b:
Normalised differential ${\mathrm{ t \bar{t} } } $ production cross section as a function of the $ {p_{\mathrm {T}}} ^{\text {t}}$ (a,b) and $y^{\text {t}}$ (c,d) of the leading and next-to-leading top quarks or antiquarks. The inner (outer) error bars indicate the statistical (combined statistical and systematic) uncertainty. The measurements are compared to predictions from MadGraph +PYTHIA , POWHEG +PYTHIA , and MC@NLO+HERWIG. The MadGraph +PYTHIA prediction is shown both as a curve and as a binned histogram. |
png pdf |
Figure 5-c:
Normalised differential ${\mathrm{ t \bar{t} } } $ production cross section as a function of the $ {p_{\mathrm {T}}} ^{\text {t}}$ (a,b) and $y^{\text {t}}$ (c,d) of the leading and next-to-leading top quarks or antiquarks. The inner (outer) error bars indicate the statistical (combined statistical and systematic) uncertainty. The measurements are compared to predictions from MadGraph +PYTHIA , POWHEG +PYTHIA , and MC@NLO+HERWIG. The MadGraph +PYTHIA prediction is shown both as a curve and as a binned histogram. |
png pdf |
Figure 5-d:
Normalised differential ${\mathrm{ t \bar{t} } } $ production cross section as a function of the $ {p_{\mathrm {T}}} ^{\text {t}}$ (a,b) and $y^{\text {t}}$ (c,d) of the leading and next-to-leading top quarks or antiquarks. The inner (outer) error bars indicate the statistical (combined statistical and systematic) uncertainty. The measurements are compared to predictions from MadGraph +PYTHIA , POWHEG +PYTHIA , and MC@NLO+HERWIG. The MadGraph +PYTHIA prediction is shown both as a curve and as a binned histogram. |
png pdf |
Figure 6-a:
Normalised differential ${\mathrm{ t \bar{t} } } $ production cross section as a function of the $ {p_{\mathrm {T}}} ^{\text {t}}$ (a) and $y^{\text {t}}$ (b) of the top quarks or antiquarks, the $ {p_{\mathrm {T}}} ^{ {\mathrm{ t \bar{t} } } }$ (c), $m^{ {\mathrm{ t \bar{t} } } }$ (d), and $y^{ {\mathrm{ t \bar{t} } } }$ (e) of the top-quark pairs. The inner (outer) error bars indicate the statistical (combined statistical and systematic) uncertainty. The measurements are compared to predictions from MadGraph +PYTHIA , POWHEG +PYTHIA , MC@NLO+HERWIG, and to an approximate NNLO calculation [8], when available. The MadGraph +PYTHIA prediction is shown both as a curve and as a binned histogram. |
png pdf |
Figure 6-b:
Normalised differential ${\mathrm{ t \bar{t} } } $ production cross section as a function of the $ {p_{\mathrm {T}}} ^{\text {t}}$ (a) and $y^{\text {t}}$ (b) of the top quarks or antiquarks, the $ {p_{\mathrm {T}}} ^{ {\mathrm{ t \bar{t} } } }$ (c), $m^{ {\mathrm{ t \bar{t} } } }$ (d), and $y^{ {\mathrm{ t \bar{t} } } }$ (e) of the top-quark pairs. The inner (outer) error bars indicate the statistical (combined statistical and systematic) uncertainty. The measurements are compared to predictions from MadGraph +PYTHIA , POWHEG +PYTHIA , MC@NLO+HERWIG, and to an approximate NNLO calculation [8], when available. The MadGraph +PYTHIA prediction is shown both as a curve and as a binned histogram. |
png pdf |
Figure 6-c:
Normalised differential ${\mathrm{ t \bar{t} } } $ production cross section as a function of the $ {p_{\mathrm {T}}} ^{\text {t}}$ (a) and $y^{\text {t}}$ (b) of the top quarks or antiquarks, the $ {p_{\mathrm {T}}} ^{ {\mathrm{ t \bar{t} } } }$ (c), $m^{ {\mathrm{ t \bar{t} } } }$ (d), and $y^{ {\mathrm{ t \bar{t} } } }$ (e) of the top-quark pairs. The inner (outer) error bars indicate the statistical (combined statistical and systematic) uncertainty. The measurements are compared to predictions from MadGraph +PYTHIA , POWHEG +PYTHIA , MC@NLO+HERWIG, and to an approximate NNLO calculation [8], when available. The MadGraph +PYTHIA prediction is shown both as a curve and as a binned histogram. |
png pdf |
Figure 6-d:
Normalised differential ${\mathrm{ t \bar{t} } } $ production cross section as a function of the $ {p_{\mathrm {T}}} ^{\text {t}}$ (a) and $y^{\text {t}}$ (b) of the top quarks or antiquarks, the $ {p_{\mathrm {T}}} ^{ {\mathrm{ t \bar{t} } } }$ (c), $m^{ {\mathrm{ t \bar{t} } } }$ (d), and $y^{ {\mathrm{ t \bar{t} } } }$ (e) of the top-quark pairs. The inner (outer) error bars indicate the statistical (combined statistical and systematic) uncertainty. The measurements are compared to predictions from MadGraph +PYTHIA , POWHEG +PYTHIA , MC@NLO+HERWIG, and to an approximate NNLO calculation [8], when available. The MadGraph +PYTHIA prediction is shown both as a curve and as a binned histogram. |
png pdf |
Figure 6-e:
Normalised differential ${\mathrm{ t \bar{t} } } $ production cross section as a function of the $ {p_{\mathrm {T}}} ^{\text {t}}$ (a) and $y^{\text {t}}$ (b) of the top quarks or antiquarks, the $ {p_{\mathrm {T}}} ^{ {\mathrm{ t \bar{t} } } }$ (c), $m^{ {\mathrm{ t \bar{t} } } }$ (d), and $y^{ {\mathrm{ t \bar{t} } } }$ (e) of the top-quark pairs. The inner (outer) error bars indicate the statistical (combined statistical and systematic) uncertainty. The measurements are compared to predictions from MadGraph +PYTHIA , POWHEG +PYTHIA , MC@NLO+HERWIG, and to an approximate NNLO calculation [8], when available. The MadGraph +PYTHIA prediction is shown both as a curve and as a binned histogram. |
| Summary |
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A measurement of normalised differential top-quark pair production cross sections in pp collisions at $ \sqrt{s} = $ 8 TeV with the CMS detector is presented. The measurement is performed in the dilepton ($\mathrm{e^+e^-}$ , $\mu^+\mu^-$ , and $\mu^{\pm}\mathrm{e^{\mp}}$ ) $\mathrm{ t \bar{t} }$ decay channels. The normalised $\mathrm{ t \bar{t} } $ cross section is measured as a function of the transverse momentum, (pseudo)rapidity, and invariant mass of the final-state leading and next-to-leading leptons and b jets in the visible phase space, and of the top quarks (including the leading and next-to-leading top quarks) and $\mathrm{ t \bar{t} }$ system in the full phase space. The measurements are in agreement with each other and with standard model predictions. The prediction at approximate NNLO precision is found to give a particularly good description of the top-quark transverse momentum. |
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