CMS-PAS-FTR-18-032 | ||
High-$p_{\rm T}$ jet measurements at the HL-LHC | ||
CMS Collaboration | ||
December 2018 | ||
Abstract: Processes containing jets with high transverse momenta are studied for the upgraded CMS Phase-2 detector design at the High-Luminosity LHC assuming a center-of-mass energy of 14 TeV and an integrated luminosity of 3 ab$^{-1}$. The high luminosity allows to fully exploit high transverse momentum jets (boosted jets) and to differentiate between various jet types. Inclusive jet production, the production of jets originating from b or t quarks, as well as from W bosons are studied, with emphasis on the transverse momentum spectrum of the jets and angular correlations between the two jets with highest transverse momenta. | ||
Links: CDS record (PDF) ; inSPIRE record ; CADI line (restricted) ; |
Figures | |
png pdf |
Figure 1:
Expected b- tagging scale factor uncertainties as a function of jet ${p_{\mathrm {T}}}$ for the tight working point [46]. |
png pdf |
Figure 2:
Predicted b-tagging efficiencies with the tight working point for jets with $R=$ 0.4 (left). Predicted flavor composition of the b-tagged sample (right). |
png pdf |
Figure 2-a:
Predicted b-tagging efficiencies with the tight working point for jets with $R=$ 0.4 (left). Predicted flavor composition of the b-tagged sample (right). |
png pdf |
Figure 2-b:
Predicted b-tagging efficiencies with the tight working point for jets with $R=$ 0.4 (left). Predicted flavor composition of the b-tagged sample (right). |
png pdf |
Figure 3:
Expected b-tagging systematic uncertainty of the inclusive b-jet cross section. |
png pdf |
Figure 4:
Comparison of the 13 TeV and 14 TeV cross sections for inclusive jet (left) and inclusive b jet (right) production at particle level as a function of ${p_{\mathrm {T}}}$ in $|y| < $ 0.5. The lower panel shows the ratio to the jet cross section at 14 TeV. The uncertainties in the ratio represent the expected statistical uncertainty assuming 150 fb$^{-1}$ and 3 ab$^{-1}$, respectively. The systematic uncertainty is shown for 14 TeV and is dominated by the jet energy scale uncertainty for inclusive jet production, and by the jet energy scale uncertainty and by the uncertainties from b tagging for the inclusive b jets. |
png pdf |
Figure 4-a:
Comparison of the 13 TeV and 14 TeV cross sections for inclusive jet (left) and inclusive b jet (right) production at particle level as a function of ${p_{\mathrm {T}}}$ in $|y| < $ 0.5. The lower panel shows the ratio to the jet cross section at 14 TeV. The uncertainties in the ratio represent the expected statistical uncertainty assuming 150 fb$^{-1}$ and 3 ab$^{-1}$, respectively. The systematic uncertainty is shown for 14 TeV and is dominated by the jet energy scale uncertainty for inclusive jet production, and by the jet energy scale uncertainty and by the uncertainties from b tagging for the inclusive b jets. |
png pdf |
Figure 4-b:
Comparison of the 13 TeV and 14 TeV cross sections for inclusive jet (left) and inclusive b jet (right) production at particle level as a function of ${p_{\mathrm {T}}}$ in $|y| < $ 0.5. The lower panel shows the ratio to the jet cross section at 14 TeV. The uncertainties in the ratio represent the expected statistical uncertainty assuming 150 fb$^{-1}$ and 3 ab$^{-1}$, respectively. The systematic uncertainty is shown for 14 TeV and is dominated by the jet energy scale uncertainty for inclusive jet production, and by the jet energy scale uncertainty and by the uncertainties from b tagging for the inclusive b jets. |
png pdf |
Figure 5:
Fraction of b jets containing both a $\mathrm{B}$ and a ${\mathrm {\overline {B}}}$ hadron as a function of the jet ${p_{\mathrm {T}}}$. |
png pdf |
Figure 6:
Distribution of the azimuthal correlation $\Delta \phi $ between two leading jets at the particle level for leading jet $p_T$ between 400 GeV and 800 GeV (left) and above 1600 GeV (right). The uncertainties represent the expected statistical uncertainty assuming 3 ab$^{-1}$. The systematic uncertainty includes the jet energy scale uncertainty (JEC) and uncertainties from b tagging. |
png pdf |
Figure 6-a:
Distribution of the azimuthal correlation $\Delta \phi $ between two leading jets at the particle level for leading jet $p_T$ between 400 GeV and 800 GeV (left) and above 1600 GeV (right). The uncertainties represent the expected statistical uncertainty assuming 3 ab$^{-1}$. The systematic uncertainty includes the jet energy scale uncertainty (JEC) and uncertainties from b tagging. |
png pdf |
Figure 6-b:
Distribution of the azimuthal correlation $\Delta \phi $ between two leading jets at the particle level for leading jet $p_T$ between 400 GeV and 800 GeV (left) and above 1600 GeV (right). The uncertainties represent the expected statistical uncertainty assuming 3 ab$^{-1}$. The systematic uncertainty includes the jet energy scale uncertainty (JEC) and uncertainties from b tagging. |
png pdf |
Figure 7:
Distribution of the rapidity difference $|\Delta y|$ between two leading jets at the particle level for leading jet $p_T$ between 400 GeV and 800 GeV (left) and above 1600 GeV (right). The uncertainties represent the expected statistical uncertainty assuming 3 ab$^{-1}$. The systematic uncertainty includes the jet energy scale uncertainty (JEC) and uncertainties from b tagging. |
png pdf |
Figure 7-a:
Distribution of the rapidity difference $|\Delta y|$ between two leading jets at the particle level for leading jet $p_T$ between 400 GeV and 800 GeV (left) and above 1600 GeV (right). The uncertainties represent the expected statistical uncertainty assuming 3 ab$^{-1}$. The systematic uncertainty includes the jet energy scale uncertainty (JEC) and uncertainties from b tagging. |
png pdf |
Figure 7-b:
Distribution of the rapidity difference $|\Delta y|$ between two leading jets at the particle level for leading jet $p_T$ between 400 GeV and 800 GeV (left) and above 1600 GeV (right). The uncertainties represent the expected statistical uncertainty assuming 3 ab$^{-1}$. The systematic uncertainty includes the jet energy scale uncertainty (JEC) and uncertainties from b tagging. |
png pdf |
Figure 8:
The cross section at particle level as a function of the leading-jet ${p_{\mathrm {T}}}$ in $ {\mathrm {t}} {\overline {\mathrm {t}}} $ events (left), and as a function of $\Delta \phi $ between the two leading $ {\mathrm {t}} {\overline {\mathrm {t}}} $ jets (right). The statistical uncertainties correspond to an integrated luminosity of 3 ab$^{-1}$, including efficiencies from the selection of $ {\mathrm {t}} $ jets at detector level. The systematic uncertainties are described in the main text. |
png pdf |
Figure 8-a:
The cross section at particle level as a function of the leading-jet ${p_{\mathrm {T}}}$ in $ {\mathrm {t}} {\overline {\mathrm {t}}} $ events (left), and as a function of $\Delta \phi $ between the two leading $ {\mathrm {t}} {\overline {\mathrm {t}}} $ jets (right). The statistical uncertainties correspond to an integrated luminosity of 3 ab$^{-1}$, including efficiencies from the selection of $ {\mathrm {t}} $ jets at detector level. The systematic uncertainties are described in the main text. |
png pdf |
Figure 8-b:
The cross section at particle level as a function of the leading-jet ${p_{\mathrm {T}}}$ in $ {\mathrm {t}} {\overline {\mathrm {t}}} $ events (left), and as a function of $\Delta \phi $ between the two leading $ {\mathrm {t}} {\overline {\mathrm {t}}} $ jets (right). The statistical uncertainties correspond to an integrated luminosity of 3 ab$^{-1}$, including efficiencies from the selection of $ {\mathrm {t}} $ jets at detector level. The systematic uncertainties are described in the main text. |
png pdf |
Figure 9:
The cross section as a function of ${p_{\mathrm {T}}}$ for hadronically decaying W bosons (left), and as a function of $\Delta \phi $ between the jet originating from the W boson and the recoil jet (right). The statistical uncertainties do not include selection efficiencies. |
png pdf |
Figure 9-a:
The cross section as a function of ${p_{\mathrm {T}}}$ for hadronically decaying W bosons (left), and as a function of $\Delta \phi $ between the jet originating from the W boson and the recoil jet (right). The statistical uncertainties do not include selection efficiencies. |
png pdf |
Figure 9-b:
The cross section as a function of ${p_{\mathrm {T}}}$ for hadronically decaying W bosons (left), and as a function of $\Delta \phi $ between the jet originating from the W boson and the recoil jet (right). The statistical uncertainties do not include selection efficiencies. |
png pdf |
Figure 10:
The overview of the particle-level differential jet cross sections (with $R=$ 0.8) as a function of ${p_{\mathrm {T}}}$ (left) and $\Delta \phi $ (right) for various processes. In the left plot the inclusive b jet cross section is shown (for comparison with the inclusive jet cross section), while for $\Delta \phi $ the two- b-jet cross section is shown. For the ratio the normalization is fixed arbitrarily at $\Delta \phi =\pi $. The cross section of W production does not include statistical uncertainties corrected for efficiencies and background subtraction. |
png pdf |
Figure 10-a:
The overview of the particle-level differential jet cross sections (with $R=$ 0.8) as a function of ${p_{\mathrm {T}}}$ (left) and $\Delta \phi $ (right) for various processes. In the left plot the inclusive b jet cross section is shown (for comparison with the inclusive jet cross section), while for $\Delta \phi $ the two- b-jet cross section is shown. For the ratio the normalization is fixed arbitrarily at $\Delta \phi =\pi $. The cross section of W production does not include statistical uncertainties corrected for efficiencies and background subtraction. |
png pdf |
Figure 10-b:
The overview of the particle-level differential jet cross sections (with $R=$ 0.8) as a function of ${p_{\mathrm {T}}}$ (left) and $\Delta \phi $ (right) for various processes. In the left plot the inclusive b jet cross section is shown (for comparison with the inclusive jet cross section), while for $\Delta \phi $ the two- b-jet cross section is shown. For the ratio the normalization is fixed arbitrarily at $\Delta \phi =\pi $. The cross section of W production does not include statistical uncertainties corrected for efficiencies and background subtraction. |
Tables | |
png pdf |
Table 1:
The b tagging scale factor (SF) uncertainties for several ${p_{\mathrm {T}}}$ values [46]. The scale factor uncertainties for jets with $R=$ 0.4 and $R=$ 0.8 are assumed to be identical. |
Summary |
We have determined the expected reach in $ {p_{\mathrm{T}}} $ for inclusive jets and b jets at the HL-LHC. The HL-LHC data will allow to probe the proton structure and perturbative QCD in general at the highest ever achieved scales. The inclusive b jet production is a process, which can be identified with high accuracy. We show that at high $ {p_{\mathrm{T}}} $, the b jets are more and more affected by gluon splitting. The angular correlation between the two leading $ {p_{\mathrm{T}}} $ jets is evaluated as a function of the $\Delta\phi$ and $|\Delta y|$ variables. It is demonstrated that these variables together with the possible b-jet requirement enhance the sensitivity to the different partonic content of the proton. The studies are complemented with a particle-level study of boosted W+jet events. The angular correlation variables are sensitive to perturbative soft-gluon radiation and are important for calculations involving soft gluon resummation. The boosted $ \mathrm{t\bar{t}} $ cross section in the high $ {p_{\mathrm{T}}} $ region is studied, where even the top quark mass becomes negligible. Consequently, the top quark pair is produced at a rate comparable to that of light quarks. However, the prominent process at high $ {p_{\mathrm{T}}} $ is the quark-quark scattering which makes the top quark pair production still suppressed, as the probability to produce top quarks within the QCD evolution (in the shower) is low. This is in contrast to the case of b quarks, which at high $ {p_{\mathrm{T}}} $ typically are produced within the QCD evolution, i.e., in the initial-state shower. With an integrated luminosity of 3 ab$^{-1}$, inclusive jet cross section measurements can reach a $ {p_{\mathrm{T}}} \sim$ 4 TeV, inclusive b jet measurements can reach a $ {p_{\mathrm{T}}} \sim $ 3 TeV, jets originating from hadronic top quarks can reach a ${p_{\mathrm{T}}} \sim $ 2 TeV, and boosted hadronically decaying W bosons can access the region of ${p_{\mathrm{T}}} \sim $ 2.5 TeV. |
References | ||||
1 | G. Apollinari et al. | High-Luminosity Large Hadron Collider (HL-LHC) : preliminary design report | ||
2 | ATLAS Collaboration | Measurement of the inclusive jet cross-section in pp collisions at $ \sqrt{s} = $ 2.76 TeV and comparison to the inclusive jet cross-section at $ \sqrt{s} = $ 7 TeV using the atlas detector | EPJC 73 (2013) 2509 | 1304.4739 |
3 | CMS Collaboration | Measurement of the inclusive jet cross section in pp collisions at $ \sqrt{s} = $ 2.76 TeV | EPJC 76 (2016), no. 5, 265 | CMS-SMP-14-017 1512.06212 |
4 | ATLAS Collaboration | Measurement of inclusive jet and dijet cross sections in proton-proton collisions at 7 TeV centre-of-mass energy with the ATLAS detector | EPJC 71 (2011) 1512 | 1009.5908 |
5 | CMS Collaboration | Measurement of the inclusive jet cross section in pp collisions at $ \sqrt{s} = $ 7 TeV | PRL 107 (2011) 132001 | CMS-QCD-10-011 1106.0208 |
6 | ATLAS Collaboration | Measurement of inclusive jet and dijet production in pp collisions at $ \sqrt{s} = $ 7 TeV using the ATLAS detector | PRD 86 (2012) 014022 | 1112.6297 |
7 | CMS Collaboration | Measurements of differential jet cross sections in proton-proton collisions at $ \sqrt{s} = $ 7 TeV with the CMS detector | PRD 87 (2013) 112002 | CMS-QCD-11-004 1212.6660 |
8 | ATLAS Collaboration | Measurement of the inclusive jet cross-section in proton-proton collisions at $ \sqrt{s} = $ 7 TeV using 4.5 fb$^{-1}$ of data with the ATLAS detector | JHEP 02 (2015) 153 | 1410.8857 |
9 | CMS Collaboration | Measurement and QCD analysis of double-differential inclusive jet cross sections in pp collisions at $ \sqrt{s}= $ 8 TeV and cross section ratios to 2.76 and 7 TeV | JHEP 03 (2017) 156 | CMS-SMP-14-001 1609.05331 |
10 | ATLAS Collaboration | Measurement of the inclusive jet cross-sections in proton-proton collisions at $ \sqrt{s}= $ 8 TeV with the ATLAS detector | JHEP 09 (2017) 020 | 1706.03192 |
11 | CMS Collaboration | Measurement of the double-differential inclusive jet cross section in proton-proton collisions at $ \sqrt{s} = $ 13 TeV | EPJC 76 (2016), no. 8, 451 | CMS-SMP-15-007 1605.04436 |
12 | ATLAS Collaboration | Measurement of inclusive jet and dijet cross-sections in proton-proton collisions at $ \sqrt{s}= $ 13 TeV with the ATLAS detector | JHEP 05 (2018) 195 | 1711.02692 |
13 | UA2 Collaboration | Observation of very large transverse momentum jets at the CERN $ \mathrm{p \bar{p}} $ collider | PLB 118 (1982) 203 | |
14 | UA1 Collaboration | Hadronic jet production at the CERN proton-antiproton collider | PLB 132 (1983) 214 | |
15 | CDF Collaboration | Measurement of the Inclusive Jet Cross Section using the $ k_{\rm T} $ algorithm in $ p\bar{p} $ Collisions at $ \sqrt{s} = $ 1.96 TeV with the CDF II Detector | PRD 75 (2007) 092006 | hep-ex/0701051 |
16 | D0 Collaboration | Measurement of the inclusive jet cross section in $ \mathrm{p \bar{p}} $ collisions at $ \sqrt{s} = $ 1.96 tev | PRL 101 (2008) 062001 | 0802.2400 |
17 | CDF Collaboration | Measurement of the inclusive jet cross section at the fermilab tevatron $ \mathrm{p \bar{p}} $ collider using a cone-based jet algorithm | PRD 78 (2008) 052006 | 0807.2204 |
18 | CMS Collaboration | Technical proposal for the Phase-II upgrade of the CMS detector | CERN-LHCC-2015-010, LHCC-P-008, CMS-TDR-15-02 | |
19 | CMS Collaboration | The Phase 2 upgrade of the CMS tracker | CERN-LHCC-2017-009, CMS-TDR-014 | |
20 | P. Sun, C.-P. Yuan, and F. Yuan | Transverse momentum resummation for dijet correlation in hadronic collisions | 1506.06170 | |
21 | J. Collins and J.-W. Qiu | $ k_{T} $ factorization is violated in production of high- transverse-momentum particles in hadron-hadron collisions | PRD 75 (2007) 114014 | 0705.2141 |
22 | S. Catani, M. Grazzini, and H. Sargsyan | Transverse-momentum resummation for top-quark pair production at the LHC | JHEP 11 (2018) 061 | 1806.01601 |
23 | S. Catani, M. Grazzini, and A. Torre | Transverse-momentum resummation for heavy-quark hadroproduction | Nucl.Phys. B 890 (2015) 518--538 | 1408.4564 |
24 | CDF Collaboration | Measurement of the b-Hadron Production Cross Section using decays to $ \mu^- $D$ ^0 $X final states in $ p\bar{p} $ collisions at $ \sqrt{s} = $ 1.96 TeV | PRD 79 (2009) 092003 | 0903.2403 |
25 | D0 Collaboration | The $ b\bar{b} $ production cross section and angular correlations in $ p\bar{p} $ collisions at $ \sqrt{s} = $ 1.8 TeV | PLB 487 (2000) 264--272 | hep-ex/9905024 |
26 | ZEUS Collaboration | Measurement of beauty photoproduction using decays into muons in dijet events at HERA | JHEP 04 (2009) 133 | 0901.2226 |
27 | H1 Collaboration | Measurement of beauty production at HERA using events with muons and jets | EPJC 41 (2005) 453--467 | hep-ex/0502010 |
28 | ATLAS Collaboration | Measurement of the inclusive and dijet cross-sections of $ b $ jets in $ pp $ collisions at $ \sqrt{s}= $ 7 TeV with the ATLAS detector | EPJC 71 (2011) 1846 | 1109.6833 |
29 | ATLAS Collaboration | Measurement of the $ b\overline{b} $ dijet cross section in pp collisions at $ \sqrt{s} = $ 7 TeV with the ATLAS detector | EPJC 76 (2016), no. 12, 670 | 1607.08430 |
30 | CMS Collaboration | Studies of inclusive four-jet production with two $ b $-tagged jets in proton-proton collisions at 7 TeV | PRD 94 (2016), no. 11, 112005 | CMS-FSQ-13-010 1609.03489 |
31 | CMS Collaboration | Inclusive $ b $-jet production in $ pp $ collisions at $ \sqrt{s}= $ 7 TeV | JHEP 04 (2012) 084 | CMS-BPH-11-022 1202.4617 |
32 | ATLAS Collaboration | Performance of top-quark and $ W $-boson tagging with ATLAS in Run 2 of the LHC | 1808.07858 | |
33 | CMS Collaboration | Measurement of the differential $ t\bar{t} $ cross section with high-$ p_t $ top-quark jets in the all-hadronic channel at $ \sqrt{s}= $ 8 TeV | CMS-PAS-TOP-16-018 | |
34 | ATLAS Collaboration | Measurements of $ t\bar{t} $ differential cross-sections of highly boosted top quarks decaying to all-hadronic final states in $ pp $ collisions at $ \sqrt{s}= $ 13 TeV using the ATLAS detector | PRD 98 (2018), no. 1, 012003 | 1801.02052 |
35 | CMS Collaboration | Measurement of the $ {\rm t}\bar{\rm t} $ cross section at 13 TeV in the all jets final state | CMS-PAS-TOP-16-013 | CMS-PAS-TOP-16-013 |
36 | CMS Collaboration | Azimuthal correlations for inclusive 2-jet, 3-jet, and 4-jet events in pp collisions at $ \sqrt{s}= $ 13 TeV | EPJC 78 (2018), no. 7, 566 | CMS-SMP-16-014 1712.05471 |
37 | CMS Collaboration | Measurement of the triple-differential dijet cross section in proton-proton collisions at $ \sqrt{s}= $ 8 TeV and constraints on parton distribution functions | EPJC 77 (2017), no. 11, 746 | CMS-SMP-16-011 1705.02628 |
38 | T. Sjostrand et al. | An introduction to PYTHIA 8.2 | CPC 191 (2015) 159 | |
39 | CMS Collaboration | Event generator tunes obtained from underlying event and multiparton scattering measurements | EPJC 76 (2016), no. 3, 155 | CMS-GEN-14-001 1512.00815 |
40 | DELPHES 3 Collaboration | DELPHES 3, A modular framework for fast simulation of a generic collider experiment | JHEP 02 (2014) 057 | 1307.6346 |
41 | S. Alioli et al. | Jet pair production in POWHEG | JHEP 04 (2011) 081 | |
42 | CMS Collaboration | Particle--flow event reconstruction in CMS and performance for jets, taus, and $ E_{\mathrm{T}}^\text{miss} $ | CDS | |
43 | CMS Collaboration | Commissioning of the particle--flow event reconstruction with the first LHC collisions recorded in the CMS detector | CDS | |
44 | CMS Collaboration | Particle-flow reconstruction and global event description with the CMS detector | JINST 12 (2017), no. 10, P10003 | CMS-PRF-14-001 1706.04965 |
45 | CMS Collaboration | Identification of heavy-flavour jets with the CMS detector in pp collisions at 13 TeV | JINST 13 (2018), no. 05, P05011 | CMS-BTV-16-002 1712.07158 |
46 | CMS Collaboration | Expected performance of the physics objects with the upgraded CMS detector at the HL-LHC | ||
47 | CMS Collaboration | Jet energy scale and resolution in the CMS experiment in pp collisions at 8 TeV | JINST 12 (2017) 02014 | CMS-JME-13-004 1607.03663 |
48 | CMS Collaboration | Measurement of dijet azimuthal decorrelation in pp collisions at $ \sqrt{s} = $ 8 TeV | EPJC 76 (2016), no. 10, 536 | CMS-SMP-14-015 1602.04384 |
49 | CMS Collaboration | Azimuthal angular correlations in high transverse momentum dijet events | CMS-PAS-SMP-17-009 | CMS-PAS-SMP-17-009 |
50 | A. J. Larkoski, S. Marzani, G. Soyez, and J. Thaler | Soft Drop | JHEP 05 (2014) 146 | 1402.2657 |
51 | J. Thaler and K. Van Tilburg | Maximizing Boosted Top Identification by Minimizing N-subjettiness | JHEP 02 (2012) 093 | 1108.2701 |
Compact Muon Solenoid LHC, CERN |