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CMS-B2G-20-010 ; CERN-EP-2021-223
Search for a heavy resonance decaying into a top quark and a W boson in the lepton+jets final state at $\sqrt{s} = $ 13 TeV
JHEP 04 (2022) 048
Abstract: A search for a heavy resonance decaying into a top quark and a W boson in proton-proton collisions at $\sqrt{s} = $ 13 TeV is presented. The data analyzed were recorded with the CMS detector at the LHC and correspond to an integrated luminosity of 138 fb$^{-1}$. The top quark is reconstructed as a single jet and the W boson, from its decay into an electron or muon and the corresponding neutrino. A top quark tagging technique based on jet clustering with a variable distance parameter and simultaneous jet grooming is used to identify jets from the collimated top quark decay. The results are interpreted in the context of two benchmark models, where the heavy resonance is either an excited bottom quark b* or a vector-like quark B. A statistical combination with an earlier search by the CMS Collaboration in the all-hadronic final state is performed to place upper cross section limits on these two models. The new analysis extends the lower range of resonance mass probed from 1.4 down to 0.7 TeV. For left-handed, right-handed, and vector-like couplings, b* masses up to 3.0, 3.0, and 3.2 TeV are excluded at 95% confidence level, respectively. The observed upper limits represent the most stringent constraints on the b* model to date.
Figures & Tables Summary Additional Figures References CMS Publications
Figures

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Figure 1:
Example Feynman diagrams at LO of the production and decay of a {\mathrm{b} ^\ast} (left) and a \PB quark (right), drawn with the TikZ-Feynman package [10].

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Figure 1-a:
Example Feynman diagram at LO of the production and decay of a b* quark, drawn with the TikZ-Feynman package [10].

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Figure 1-b:
Example Feynman diagram at LO of the production and decay of a B quark, drawn with the TikZ-Feynman package [10].

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Figure 2:
Distributions of ${M_{\mathrm{t} \mathrm{W}}}$ in the 1b (left) and 2b (right) categories. The data are shown by filled markers, where the horizontal bars indicate the bin widths. The individual background contributions are given by filled histograms. The expected signal for an LH b* with a mass of $m_{{\mathrm{b} ^*}} = $ 2.4 TeV is shown by a dashed line. The shaded region is the uncertainty in the total background estimate. The lower panels of each figure show the ratio of data to the background estimate, with the total uncertainty in the predicted background displayed as shaded band.

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Figure 2-a:
Distribution of ${M_{\mathrm{t} \mathrm{W}}}$ in the 1b category. The data are shown by filled markers, where the horizontal bars indicate the bin widths. The individual background contributions are given by filled histograms. The expected signal for an LH b* with a mass of $m_{{\mathrm{b} ^*}} = $ 2.4 TeV is shown by a dashed line. The shaded region is the uncertainty in the total background estimate. The lower panel shows the ratio of data to the background estimate, with the total uncertainty in the predicted background displayed as shaded band.

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Figure 2-b:
Distribution of ${M_{\mathrm{t} \mathrm{W}}}$ in the 2b category. The data are shown by filled markers, where the horizontal bars indicate the bin widths. The individual background contributions are given by filled histograms. The expected signal for an LH b* with a mass of $m_{{\mathrm{b} ^*}} = $ 2.4 TeV is shown by a dashed line. The shaded region is the uncertainty in the total background estimate. The lower panel shows the ratio of data to the background estimate, with the total uncertainty in the predicted background displayed as shaded band.

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Figure 3:
Upper limits on the product of production cross section and branching fraction of the left-handed (upper left), right-handed (upper right) and vector-like (lower) b* hypotheses at 95% CL. Colored lines show the expected limits from the $\ell$+jets (dotted) and all-hadronic (dash-dotted) channels, where the latter start at b* masses of 1.4 TeV. The observed and expected limits from the combination are shown as solid and dashed black lines, respectively. The green and yellow bands show the 68 and 95% confidence intervals on the combined expected limits. The theoretical cross sections are shown as the red lines, where the uncertainties due to missing higher orders are depicted by shaded areas.

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Figure 3-a:
Upper limits on the product of production cross section and branching fraction of the left-handed b* hypothesis at 95% CL. Colored lines show the expected limits from the $\ell$+jets (dotted) and all-hadronic (dash-dotted) channels, where the latter start at b* masses of 1.4 TeV. The observed and expected limits from the combination are shown as solid and dashed black lines, respectively. The green and yellow bands show the 68 and 95% confidence intervals on the combined expected limits. The theoretical cross section is shown as the red line, where the uncertainties due to missing higher orders are depicted by the shaded area.

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Figure 3-b:
Upper limits on the product of production cross section and branching fraction of the right-handed b* hypothesis at 95% CL. Colored lines show the expected limits from the $\ell$+jets (dotted) and all-hadronic (dash-dotted) channels, where the latter start at b* masses of 1.4 TeV. The observed and expected limits from the combination are shown as solid and dashed black lines, respectively. The green and yellow bands show the 68 and 95% confidence intervals on the combined expected limits. The theoretical cross section is shown as the red line, where the uncertainties due to missing higher orders are depicted by the shaded area.

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Figure 3-c:
Upper limits on the product of production cross section and branching fraction of the vector-like b* hypothesis at 95% CL. Colored lines show the expected limits from the $\ell$+jets (dotted) and all-hadronic (dash-dotted) channels, where the latter start at b* masses of 1.4 TeV. The observed and expected limits from the combination are shown as solid and dashed black lines, respectively. The green and yellow bands show the 68 and 95% confidence intervals on the combined expected limits. The theoretical cross section is shown as the red line, where the uncertainties due to missing higher orders are depicted by the shaded area.

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Figure 4:
Upper limits on the product of production cross section and branching fraction of the B+b (left) and B+t (right) production modes at 95% CL. Colored lines show the expected limits from the $\ell$+jets (dotted) and all-hadronic (dash-dotted) channels, where the latter start at B masses of 1.4 TeV. The observed and expected limits from the combination are shown as solid and dashed black lines, respectively. The green and yellow bands show the 68 and 95% confidence intervals on the combined expected limits. The theoretical cross sections are shown as the red and blue lines, where the uncertainties due to missing higher orders are depicted by shaded areas.

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Figure 4-a:
Upper limits on the product of production cross section and branching fraction of the B+b production mode at 95% CL. Colored lines show the expected limits from the $\ell$+jets (dotted) and all-hadronic (dash-dotted) channels, where the latter start at B masses of 1.4 TeV. The observed and expected limits from the combination are shown as solid and dashed black lines, respectively. The green and yellow bands show the 68 and 95% confidence intervals on the combined expected limits. The theoretical cross sections are shown as the red and blue lines, where the uncertainties due to missing higher orders are depicted by shaded areas.

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Figure 4-b:
Upper limits on the product of production cross section and branching fraction of the B+t production mode at 95% CL. Colored lines show the expected limits from the $\ell$+jets (dotted) and all-hadronic (dash-dotted) channels, where the latter start at B masses of 1.4 TeV. The observed and expected limits from the combination are shown as solid and dashed black lines, respectively. The green and yellow bands show the 68 and 95% confidence intervals on the combined expected limits. The theoretical cross section is shown as the red line, where the uncertainties due to missing higher orders are depicted by the shaded area.
Tables

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Table 1:
Summary of all considered sources of systematic uncertainties affecting the ${M_{\mathrm{t} \mathrm{W}}}$ distributions in the 1b and 2b categories of the $\ell$+jets channel. The source of the uncertainty is given in the first column. The second column indicates if the uncertainty results in a change of normalization or shape of the ${M_{\mathrm{t} \mathrm{W}}}$ distribution. The samples affected by a given uncertainty source are shown in the third column. The fourth column shows the impact of these uncertainties, estimated for an LH b* signal with a mass of 2.4 TeV. These are quantified by calculating the change in the fitted signal strength when a given parameter is displaced by $ \pm $1 standard deviation from its post-fit value, divided by the total uncertainty in the fitted signal. Uncertainties taken to be fully correlated across the three years are given in the upper part of the table. Uncertainties affecting both the $\ell$+jets and all-hadronic channels are marked by an asterisk.
Summary
A search for a heavy resonance decaying to tW in the final state with a lepton and a t-tagged jet has been presented. The data analyzed correspond to an integrated luminosity of 138 fb$^{-1}$ of proton-proton collisions collected at a center-of-mass energy of 13 TeV. Final states where the W boson decays leptonically and the top quark decay results in a single jet are probed. Compared to an earlier analysis of the all-hadronic final state, the lower reach of the analysis is extended from 1.4 down to 0.7 TeV, because of lower lepton trigger thresholds and the extended range in t quark transverse momentum provided by the Heavy Object Tagger with Variable R. Above 1.4 TeV a combination with the search in the all-hadronic final state has been performed. The dominant $\mathrm{t\bar{t}}$ background is constrained using a dedicated control region and the background from misidentified t jets is estimated from data. No significant excess of data over the background prediction is observed. Upper limits on the single production of a vector-like quark decaying to tW have been derived in the mass range of 0.7 to 1.8 TeV. The excited bottom quark b* hypotheses with left-handed, right-handed, and vector-like chiralities are excluded at 95% confidence level up to masses of 3.0, 3.0, and 3.2 TeV, respectively. The upper limits on the product of cross section and branching fraction represent the most stringent constraints on the b* model to date.
Additional Figures

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Additional Figure 1:
Distribution of $\alpha $ as a function of $M_{{\mathrm {t}} {\mathrm {W}}}$ for the background estimation in the 1b category. Two different parametrizations are fitted to the distributions (solid lines) and the total uncertainty is shown as colored area.

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Additional Figure 2:
Distribution of $\alpha $ as a function of $M_{{\mathrm {t}} {\mathrm {W}}}$ for the background estimation in the 2b category. Two different parametrizations are fitted to the distributions (solid lines) and the total uncertainty is shown as colored area.
References
1 H. Harari Composite models for quarks and leptons PR 104 (1984) 159
2 U. Baur, M. Spira, and P. M. Zerwas Excited-quark and -lepton production at hadron colliders PRD 42 (1990) 815
3 T. M. P. Tait and C. P. Yuan Single top quark production as a window to physics beyond the standard model PRD 63 (2000) 014018 hep-ph/0007298
4 J. Nutter, R. Schwienhorst, D. G. E. Walker, and J.-H. Yu Single top production as a probe of B' quarks PRD 86 (2012) 094006 1207.5179
5 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004 CMS-00-001
6 ATLAS Collaboration Search for single b*-quark production with the ATLAS detector at $ \sqrt{s}= $ 7 TeV PLB 721 (2013) 171 1301.1583
7 ATLAS Collaboration Search for the production of single vector-like and excited quarks in the Wt final state in pp collisions at $ \sqrt{s} = $ 8 TeV with the ATLAS detector JHEP 02 (2016) 110 1510.02664
8 CMS Collaboration Search for the production of an excited bottom quark decaying to tW in proton-proton collisions at $ \sqrt{s}= $ 8 TeV JHEP 01 (2016) 166 CMS-B2G-14-005
1509.08141
9 CMS Collaboration Search for a heavy resonance decaying to a top quark and a W boson at $ \sqrt{s} = $ 13 TeV in the fully hadronic final state 2021. Submitted to JHEP CMS-B2G-19-003
2104.12853
10 J. Ellis TikZ-Feynman: Feynman diagrams with TikZ CPC 210 (2017) 103 1601.05437
11 T. Lapsien, R. Kogler, and J. Haller A new tagger for hadronically decaying heavy particles at the LHC EPJC 76 (2016) 600 1606.04961
12 A. J. Larkoski, I. Moult, and B. Nachman Jet substructure at the Large Hadron Collider: A review of recent advances in theory and machine learning Phys. Rep. 841 (2020) 1 1709.04464
13 R. Kogler, B. Nachman, A. Schmidt (editors) et al. Jet substructure at the Large Hadron Collider Rev. Mod. Phys. 91 (2019) 045003 1803.06991
14 J. A. Aguilar-Saavedra, R. Benbrik, S. Heinemeyer, and M. PĂ©rez-Victoria Handbook of vectorlike quarks: Mixing and single production PRD 88 (2013) 094010 1306.0572
15 A. De Simone, O. Matsedonskyi, R. Rattazzi, and A. Wulzer A first top partner hunter's guide JHEP 04 (2013) 004 1211.5663
16 CMS Collaboration HEPData record for this analysis link
17 CMS Collaboration The CMS trigger system JINST 12 (2017) P01020 CMS-TRG-12-001
1609.02366
18 CMS Collaboration Performance of the CMS muon trigger system in proton-proton collisions at $ \sqrt{s} = $ 13 TeV JINST 16 (2021) P07001 CMS-MUO-19-001
2102.04790
19 S. Frixione, P. Nason, and C. Oleari Matching NLO QCD computations with parton shower simulations: The POWHEG method JHEP 11 (2007) 070 0709.2092
20 P. Nason A new method for combining NLO QCD with shower Monte Carlo algorithms JHEP 11 (2004) 040 hep-ph/0409146
21 S. Alioli, P. Nason, C. Oleari, and E. Re A general framework for implementing NLO calculations in shower Monte Carlo programs: The POWHEG BOX JHEP 06 (2010) 043 1002.2581
22 S. Frixione, P. Nason, and G. Ridolfi A positive-weight next-to-leading-order Monte Carlo for heavy flavour hadroproduction JHEP 09 (2007) 126 0707.3088
23 E. Re Single-top Wt-channel production matched with parton showers using the POWHEG method EPJC 71 (2011) 1547 1009.2450
24 J. Alwall et al. The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations JHEP 07 (2014) 079 1405.0301
25 J. Alwall et al. Comparative study of various algorithms for the merging of parton showers and matrix elements in hadronic collisions EPJC 53 (2008) 473 0706.2569
26 M. Czakon and A. Mitov Top++: A program for the calculation of the top-pair cross-section at hadron colliders CPC 185 (2014) 2930 1112.5675
27 N. Kidonakis Two-loop soft anomalous dimensions for single top quark associated production with a W$^{-}$ or H$^{-}$ PRD 82 (2010) 054018 1005.4451
28 N. Kidonakis Top quark production in Helmholtz International Summer School on Physics of Heavy Quarks and Hadrons 2013 1311.0283
29 M. Aliev et al. HATHOR -- HAdronic Top and Heavy quarks crOss section calculatoR CPC 182 (2011) 1034 1007.1327
30 CMS Collaboration Measurement of differential cross sections for top quark pair production using the lepton+jets final state in proton-proton collisions at 13 TeV PRD 95 (2017) 092001 CMS-TOP-16-008
1610.04191
31 CMS Collaboration Measurements of $ \mathrm{t\overline{t}} $ differential cross sections in proton-proton collisions at $ \sqrt{s}= $ 13 TeV using events containing two leptons JHEP 02 (2019) 149 CMS-TOP-17-014
1811.06625
32 T. Sjostrand et al. An introduction to PYTHIA 8.2 CPC 191 (2015) 159 1410.3012
33 CMS Collaboration Event generator tunes obtained from underlying event and multiparton scattering measurements EPJC 76 (2016) 155 CMS-GEN-14-001
1512.00815
34 CMS Collaboration Investigations of the impact of the parton shower tuning in Pythia 8 in the modelling of $ \mathrm{t\overline{t}} $ at $ \sqrt{s}= $ 8 and 13 TeV CMS-PAS-TOP-16-021 CMS-PAS-TOP-16-021
35 CMS Collaboration Extraction and validation of a new set of CMS PYTHIA8 tunes from underlying-event measurements EPJC 80 (2020) 4 CMS-GEN-17-001
1903.12179
36 NNPDF Collaboration Parton distributions for the LHC Run II JHEP 04 (2015) 040 1410.8849
37 NNPDF Collaboration Parton distributions from high-precision collider data EPJC 77 (2017) 663 1706.00428
38 CMS Collaboration Measurement of the inelastic proton-proton cross section at $ \sqrt{s}= $ 13 TeV JHEP 07 (2018) 161 CMS-FSQ-15-005
1802.02613
39 GEANT4 Collaboration GEANT4--a simulation toolkit NIMA 506 (2003) 250
40 Tracker Group of the CMS Collaboration The CMS Phase-1 pixel detector upgrade JINST 16 (2021) P02027 2012.14304
41 CMS Collaboration Performance of the CMS Level-1 trigger in proton-proton collisions at $ \sqrt{s} = $ 13 TeV JINST 15 (2020) P10017 CMS-TRG-17-001
2006.10165
42 CMS Collaboration Particle-flow reconstruction and global event description with the CMS detector JINST 12 (2017) P10003 CMS-PRF-14-001
1706.04965
43 CMS Collaboration Electron and photon reconstruction and identification with the CMS experiment at the CERN LHC JINST 16 (2021) P05014 CMS-EGM-17-001
2012.06888
44 CMS Collaboration Performance of the CMS muon detector and muon reconstruction with proton-proton collisions at $ \sqrt{s}= $ 13 TeV JINST 13 (2018) P06015 CMS-MUO-16-001
1804.04528
45 M. Cacciari, G. P. Salam, and G. Soyez The anti-$ {k_{\mathrm{T}}} $ jet clustering algorithm JHEP 04 (2008) 063 0802.1189
46 M. Cacciari, G. P. Salam, and G. Soyez FastJet user manual EPJC 72 (2012) 1896 1111.6097
47 CMS Collaboration Technical proposal for the Phase-II upgrade of the Compact Muon Solenoid CMS-PAS-TDR-15-002 CMS-PAS-TDR-15-002
48 CMS Collaboration Performance of electron reconstruction and selection with the CMS detector in proton-proton collisions at $ \sqrt{s} = $ 8 TeV JINST 10 (2015) P06005 CMS-EGM-13-001
1502.02701
49 D. Krohn, J. Thaler, and L.-T. Wang Jets with variable R JHEP 06 (2009) 059 0903.0392
50 M. Cacciari and G. P. Salam Pileup subtraction using jet areas PLB 659 (2008) 119 0707.1378
51 Y. L. Dokshitzer, G. D. Leder, S. Moretti, and B. R. Webber Better jet clustering algorithms JHEP 08 (1997) 001 hep-ph/9707323
52 M. Wobisch and T. Wengler Hadronization corrections to jet cross-sections in deep inelastic scattering in Proceedings of the workshop on Monte Carlo generators for HERA physics, Hamburg 1998 hep-ph/9907280
53 M. Stoll Vetoed jet clustering: The mass-jump algorithm JHEP 04 (2015) 111 1410.4637
54 CMS Collaboration Identification of heavy, energetic, hadronically decaying particles using machine-learning techniques JINST 15 (2020) P06005 CMS-JME-18-002
2004.08262
55 CMS Collaboration Pileup mitigation at CMS in 13 TeV data JINST 15 (2020) P09018 CMS-JME-18-001
2003.00503
56 D. Bertolini, P. Harris, M. Low, and N. Tran Pileup per particle identification JHEP 10 (2014) 059 1407.6013
57 CMS Collaboration Jet energy scale and resolution in the CMS experiment in pp collisions at 8 TeV JINST 12 (2017) P02014 CMS-JME-13-004
1607.03663
58 J. Thaler and K. Van Tilburg Identifying boosted objects with $ {N} $-subjettiness JHEP 03 (2011) 015 1011.2268
59 J. Thaler and K. Van Tilburg Maximizing boosted top identification by minimizing $ {N} $-subjettiness JHEP 02 (2012) 093 1108.2701
60 CMS Collaboration Performance of b tagging algorithms in proton-proton collisions at 13 TeV with Phase 1 CMS detector CDS
61 CMS Collaboration Performance of missing transverse momentum reconstruction in proton-proton collisions at $ \sqrt{s} = $ 13 TeV using the CMS detector JINST 14 (2019) P07004 CMS-JME-17-001
1903.06078
62 CMS Collaboration Search for massive resonances decaying into WW, WZ or ZZ bosons in proton-proton collisions at $ \sqrt{s} = $ 13 TeV JHEP 03 (2017) 162 CMS-B2G-16-004
1612.09159
63 CMS Collaboration Precision luminosity measurement in proton-proton collisions at $ \sqrt{s} = $ 13 TeV in 2015 and 2016 at CMS EPJC 81 (2021) 800 CMS-LUM-17-003
2104.01927
64 CMS Collaboration CMS luminosity measurement for the 2017 data-taking period at $ \sqrt{s} = $ 13 TeV CMS-PAS-LUM-17-004 CMS-PAS-LUM-17-004
65 CMS Collaboration CMS luminosity measurement for the 2018 data-taking period at $ \sqrt{s} = $ 13 TeV CMS-PAS-LUM-18-002 CMS-PAS-LUM-18-002
66 J. Butterworth et al. PDF4LHC recommendations for LHC Run II JPG 43 (2016) 023001 1510.03865
67 CMS Collaboration Identification of heavy-flavour jets with the CMS detector in pp collisions at 13 TeV JINST 13 (2018) P05011 CMS-BTV-16-002
1712.07158
68 J. S. Conway Incorporating nuisance parameters in likelihoods for multisource spectra in Proceedings, workshop on statistical issues related to discovery claims in search experiments and unfolding (PHYSTAT 2011) 1103.0354
69 R. J. Barlow and C. Beeston Fitting using finite Monte Carlo samples CPC 77 (1993) 219
70 T. Junk Confidence level computation for combining searches with small statistics NIMA 434 (1999) 435 hep-ex/9902006
71 A. L. Read Presentation of search results: The CL$ _\text{s} $ technique JPG 28 (2002) 2693
72 G. Cowan, K. Cranmer, E. Gross, and O. Vitells Asymptotic formulae for likelihood-based tests of new physics EPJC 71 (2011) 1554 1007.1727
73 A. Carvalho et al. Single production of vector-like quarks with large width at the Large Hadron Collider PRD 98 (2018) 015029 1805.06402
74 CMS Collaboration Search for single production of vector-like quarks decaying to a top quark and a W boson in proton-proton collisions at $ \sqrt{s} = $ 13 TeV EPJC 79 (2019) 90 CMS-B2G-17-018
1809.08597
Compact Muon Solenoid
LHC, CERN