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CMS-B2G-17-010 ; CERN-EP-2017-196
Search for heavy resonances decaying to a top quark and a bottom quark in the lepton+jets final state in proton-proton collisions at 13 TeV
Phys. Lett. B 777 (2017) 39
Abstract: A search is presented for narrow heavy resonances decaying to a top quark and a bottom quark using data collected by the CMS experiment at $ \sqrt{\smash[b]{s}} = $ 13 TeV in 2016. The data set analyzed corresponds to an integrated luminosity of 35.9 fb$\smash[t]{^{-1}}$. Final states that include a single lepton (e, $\mu$), multiple jets, and missing transverse momentum are analyzed. No evidence is found for the production of a W' boson, and the production of right-handed W' bosons is excluded at 95% confidence level for masses up to 3.6 TeV depending on the scenario considered. Exclusion limits for W' bosons are also presented as a function of their coupling strength to left- and right-handed fermions. These limits on a W' boson decaying via a top and a bottom quark are the most stringent published to date.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
The reconstructed $ {M_{\mathrm{ t } \mathrm{ b } }} $ distributions in the 1 b tag (upper) and 2 b tags (lower) categories, for the electron (left) and muon (right) channels, for Type A events. Distributions for $ \mathrm{W}'_{\text{R}} $ bosons with masses of 2, 2.5, and 3 TeV are shown. The distribution is shown after the application of all selections. The background uncertainty includes both statistical and systematic components, while "Tot. unc." in the lower panels corresponds to the combined uncertainty of the background prediction and data.

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Figure 1-a:
The reconstructed $ {M_{\mathrm{ t } \mathrm{ b } }} $ distribution in the 1 b tag category, for the electron channel, for Type A events. Distributions for $ \mathrm{W}'_{\text{R}} $ bosons with masses of 2, 2.5, and 3 TeV are shown. The distribution is shown after the application of all selections. The background uncertainty includes both statistical and systematic components, while "Tot. unc." in the lower panels corresponds to the combined uncertainty of the background prediction and data.

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Figure 1-b:
The reconstructed $ {M_{\mathrm{ t } \mathrm{ b } }} $ distribution in the 1 b tag category, for the muon channel, for Type A events. Distributions for $ \mathrm{W}'_{\text{R}} $ bosons with masses of 2, 2.5, and 3 TeV are shown. The distribution is shown after the application of all selections. The background uncertainty includes both statistical and systematic components, while "Tot. unc." in the lower panels corresponds to the combined uncertainty of the background prediction and data.

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Figure 1-c:
The reconstructed $ {M_{\mathrm{ t } \mathrm{ b } }} $ distribution in the 2 b tags category, for the electron channel, for Type A events. Distributions for $ \mathrm{W}'_{\text{R}} $ bosons with masses of 2, 2.5, and 3 TeV are shown. The distribution is shown after the application of all selections. The background uncertainty includes both statistical and systematic components, while "Tot. unc." in the lower panels corresponds to the combined uncertainty of the background prediction and data.

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Figure 1-d:
The reconstructed $ {M_{\mathrm{ t } \mathrm{ b } }} $ distribution in the 2 b tags category, for the muon channel, for Type A events. Distributions for $ \mathrm{W}'_{\text{R}} $ bosons with masses of 2, 2.5, and 3 TeV are shown. The distribution is shown after the application of all selections. The background uncertainty includes both statistical and systematic components, while "Tot. unc." in the lower panels corresponds to the combined uncertainty of the background prediction and data.

png pdf
Figure 2:
The reconstructed $ {M_{\mathrm{ t } \mathrm{ b } }} $ distributions in the 1 b tag (upper) and 2 b tags (lower) categories, for the electron (left) and muon (right) channels, for Type B events. Distributions for $ \mathrm{W}'_{\text{R}} $ bosons with masses of 2, 2.5, and 3 TeV are shown. The distribution is shown after the application of all selections. The background uncertainty includes both statistical and systematic components, while "Tot. unc." in the lower panels corresponds to the combined uncertainty of the background prediction and data.

png pdf
Figure 2-a:
The reconstructed $ {M_{\mathrm{ t } \mathrm{ b } }} $ distribution in the 1 b tag category, for the electron channel, for Type B events. Distributions for $ \mathrm{W}'_{\text{R}} $ bosons with masses of 2, 2.5, and 3 TeV are shown. The distribution is shown after the application of all selections. The background uncertainty includes both statistical and systematic components, while "Tot. unc." in the lower panels corresponds to the combined uncertainty of the background prediction and data.

png pdf
Figure 2-b:
The reconstructed $ {M_{\mathrm{ t } \mathrm{ b } }} $ distribution in the 1 b tag category, for the muon channel, for Type B events. Distributions for $ \mathrm{W}'_{\text{R}} $ bosons with masses of 2, 2.5, and 3 TeV are shown. The distribution is shown after the application of all selections. The background uncertainty includes both statistical and systematic components, while "Tot. unc." in the lower panels corresponds to the combined uncertainty of the background prediction and data.

png pdf
Figure 2-c:
The reconstructed $ {M_{\mathrm{ t } \mathrm{ b } }} $ distribution in the 2 b tags category, for the electron channel, for Type B events. Distributions for $ \mathrm{W}'_{\text{R}} $ bosons with masses of 2, 2.5, and 3 TeV are shown. The distribution is shown after the application of all selections. The background uncertainty includes both statistical and systematic components, while "Tot. unc." in the lower panels corresponds to the combined uncertainty of the background prediction and data.

png pdf
Figure 2-d:
The reconstructed $ {M_{\mathrm{ t } \mathrm{ b } }} $ distribution in the 2 b tags category, for the muon channel, for Type B events. Distributions for $ \mathrm{W}'_{\text{R}} $ bosons with masses of 2, 2.5, and 3 TeV are shown. The distribution is shown after the application of all selections. The background uncertainty includes both statistical and systematic components, while "Tot. unc." in the lower panels corresponds to the combined uncertainty of the background prediction and data.

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Figure 3:
Upper limit at 95% CL on the $ \mathrm{W}'_{\text{R}} $ boson production cross section separately in the electron (left ) and muon (right ) channels. Signal masses for which the theoretical cross section (in red and blue for $M_{\nu _\mathrm {R}}\ll M_{\mathrm{W}'_{\text{R}}}$ and $M_{\nu _\mathrm {R}}>M_{\mathrm{W}'_{\text{R}}}$, respectively) exceeds the observed upper limit (in solid black) are excluded at 95% CL. The green and yellow bands represent the $\pm $1 and 2 s.d. uncertainties in the expected limit, respectively.

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Figure 3-a:
Upper limit at 95% CL on the $ \mathrm{W}'_{\text{R}} $ boson production cross section in the electron channel. Signal masses for which the theoretical cross section (in red and blue for $M_{\nu _\mathrm {R}}\ll M_{\mathrm{W}'_{\text{R}}}$ and $M_{\nu _\mathrm {R}}>M_{\mathrm{W}'_{\text{R}}}$, respectively) exceeds the observed upper limit (in solid black) are excluded at 95% CL. The green and yellow bands represent the $\pm $1 and 2 s.d. uncertainties in the expected limit, respectively.

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Figure 3-b:
Upper limit at 95% CL on the $ \mathrm{W}'_{\text{R}} $ boson production cross section in the muon channel. Signal masses for which the theoretical cross section (in red and blue for $M_{\nu _\mathrm {R}}\ll M_{\mathrm{W}'_{\text{R}}}$ and $M_{\nu _\mathrm {R}}>M_{\mathrm{W}'_{\text{R}}}$, respectively) exceeds the observed upper limit (in solid black) are excluded at 95% CL. The green and yellow bands represent the $\pm $1 and 2 s.d. uncertainties in the expected limit, respectively.

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Figure 4:
Upper limit at 95% CL on the $ \mathrm{W}'_{\text{R}} $ boson production cross section for the combined electron and muon channels. Signal masses for which the theoretical cross section (in red and blue for $M_{\nu _\mathrm {R}}\ll M_{\mathrm{W}'_{\text{R}}}$ and $M_{\nu _\mathrm {R}} > M_{\mathrm{W}'_{\text{R}}}$, respectively) exceeds the observed upper limit (in solid black) are excluded at 95% CL. The green and yellow bands represent the $\pm $1 and 2 s.d. uncertainties in the expected limit, respectively.

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Figure 5:
Expected (left ) and observed (right ) limits on the W' boson mass as function of the left-handed ($a_\mathrm {L}$) and right-handed ($a_\mathrm {R}$) couplings. Black lines represent contours of equal W' boson mass.

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Figure 5-a:
Expected limits on the W' boson mass as function of the left-handed ($a_\mathrm {L}$) and right-handed ($a_\mathrm {R}$) couplings. Black lines represent contours of equal W' boson mass.

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Figure 5-b:
Observed limits on the W' boson mass as function of the left-handed ($a_\mathrm {L}$) and right-handed ($a_\mathrm {R}$) couplings. Black lines represent contours of equal W' boson mass.
Tables

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Table 1:
Observed and expected event yields from all the background processes and $ \mathrm{W}'_{\text{R}} $ bosons with three different masses. HF and LF indicate heavy flavor and light flavor events, respectively. Yields are separated into 8 event categories by the lepton type (e or $\mu $), number of b tags (1 or 2), and $ {p_{\mathrm {T}}} ^{\mathrm{ t } }$ and $ {p_{\mathrm {T}}} ^\mathrm {j_1+j_2}$ (Type A or B). The uncertainty in the total expected background includes both the systematic and statistical sources.

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Table 2:
List of systematic uncertainties taken into account in the analysis. For sources that affect the shape of the $ {M_{\mathrm{ t } \mathrm{ b } }} $ distribution the given rate uncertainty is approximate. The pileup, top quark $ {p_{\mathrm {T}}} $ reweighting, and W+jets heavy/light flavor systematic uncertainties are described in more detail in the text. A check mark in the "Signal" column indicates that the uncertainty is also applied to the signal samples. For the PDF uncertainty, only its shape component is included for signal samples.
Summary
A search for a narrow heavy W' boson resonance decaying to a top quark and a bottom quark has been performed in lepton+jets final states using data collected at $ \sqrt{\smash[b]{s}} = $ 13 TeV by the CMS detector in 2016, corresponding to an integrated luminosity of 35.9 fb$^{-1}$. No evidence is observed for the production of a W' boson, and 95% CL upper limits on the product of the right-handed W' ($\mathrm{W}'_{\text{R}})$ boson production cross section and its branching fraction to a top and a bottom quark are calculated as a function of the $\mathrm{W}'_{\text{R}}$ boson mass. The observed (expected) 95% CL upper limit is 3.4 (3.3) TeV if $M_{\mathrm{W}'_R} \gg M_{\nu_\mathrm{R}} $ and 3.6 (3.5) TeV if $ M_{\mathrm{W}'_R} < M_{\nu_\mathrm{R}} $, where $ M_{\nu_\mathrm{R}} $ is the mass of the right-handed neutrino. Exclusion limits are also presented for W' bosons with varied left- and right-handed couplings to fermions, for the first time at $ \sqrt{\smash[b]{s}}= $ 13 TeV. These results are the most stringent limits to date on the production of W' bosons that decay to a top and a bottom quark.
References
1 M. Schmaltz and D. Tucker-Smith Little Higgs review Ann. Rev. Nucl. Part. Sci. 55 (2005) 229 hep-ph/0502182
2 T. Appelquist, H.-C. Cheng, and B. A. Dobrescu Bounds on universal extra dimensions PRD 64 (2001) 035002 hep-ph/0012100
3 H.-C. Cheng, C. T. Hill, S. Pokorski, and J. Wang Standard model in the latticized bulk PRD 64 (2001) 065007 hep-th/0104179
4 R. S. Chivukula, E. H. Simmons, and J. Terning Limits on noncommuting extended technicolor PRD 53 (1996) 5258 hep-ph/9506427
5 R. N. Mohapatra and J. C. Pati Left-right gauge symmetry and an `isoconjugate' model of $ \mathrm{CP} $ violation PRD 11 (1975) 566
6 D. J. Muller and S. Nandi Topflavor: a separate SU(2) for the third family PLB 383 (1996) 345 hep-ph/9607328
7 E. Malkawi, T. Tait, and C.-P. Yuan A model of strong flavor dynamics for the top quark PLB 385 (1996) 304 hep-ph/9603349
8 D0 Collaboration Search for $ W' $ boson resonances decaying to a top quark and a bottom quark PRL 100 (2008) 211803 0803.3256
9 D0 Collaboration Search for $ \mathrm{W}' \to \mathrm{tb} $ resonances with left- and right-handed couplings to fermions PLB 699 (2011) 145 1101.0806
10 CDF Collaboration Search for resonances decaying to top and bottom quarks with the CDF experiment PRL 115 (2015) 061801 1504.01536
11 CMS Collaboration Search for $ \mathrm{W}' \to \mathrm{tb} $ decays in the lepton+jets final state in pp collisions at $ \sqrt{s} = $ 8 TeV JHEP 05 (2014) 108 CMS-B2G-12-010
1402.2176
12 CMS Collaboration Search for $ \mathrm{W}' \to \mathrm{tb} $ decays in proton-proton collisions at $ \sqrt{s} = $ 8 TeV JHEP 02 (2016) 122 CMS-B2G-12-009
1509.06051
13 CMS Collaboration Searches for $ \mathrm{W}' $ bosons decaying to a top quark and a bottom quark in proton-proton collisions at 13 TeV JHEP 08 (2017) 029 CMS-B2G-16-016
1706.04260
14 ATLAS Collaboration Search for $ \mathrm{W'} \rightarrow \mathrm{tb} \rightarrow \mathrm{qqbb} $ decays in pp collisions at $ \sqrt{s} = $ 8 TeV with the ATLAS detector EPJC 75 (2015) 165 1408.0886
15 ATLAS Collaboration Search for $ \mathrm{W'} \to \mathrm{t\bar{b}} $ in the lepton plus jets final state in proton-proton collisions at a centre-of-mass energy of $ \sqrt{s} = $ 8 TeV with the ATLAS detector PLB 743 (2015) 235 1410.4103
16 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004 CMS-00-001
17 CMS Collaboration Particle-flow reconstruction and global event description with the CMS detector CMS-PRF-14-001
1706.04965
18 CMS Collaboration Performance of photon reconstruction and identification with the CMS detector in proton-proton collisions at $ \sqrt{s} = $ 8 TeV JINST 10 (2015) P08010 CMS-EGM-14-001
1502.02702
19 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
20 CMS Collaboration Determination of jet energy calibration and transverse momentum resolution in CMS JINST 6 (2011) P11002 CMS-JME-10-011
1107.4277
21 CMS Collaboration Performance of CMS muon reconstruction in pp collision events at $ \sqrt{s} = $ 7 TeV JINST 7 (2012) P10002 CMS-MUO-10-004
1206.4071
22 Z. Sullivan Fully differential $ W^\prime $ production and decay at next-to-leading order in QCD PRD 66 (2002) 075011 hep-ph/0207290
23 D. Duffty and Z. Sullivan Model independent reach for W-prime bosons at the LHC PRD 86 (2012) 075018 1208.4858
24 CompHEP Collaboration CompHEP 4.4: Automatic computations from Lagrangians to events NIMA 534 (2004) 250 hep-ph/0403113
25 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
26 R. Frederix and S. Frixione Merging meets matching in MC@NLO JHEP 12 (2012) 061 1209.6215
27 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
28 P. Nason A new method for combining NLO QCD with shower Monte Carlo algorithms JHEP 11 (2004) 040 hep-ph/0409146
29 S. Frixione, P. Nason, and C. Oleari Matching NLO QCD computations with Parton Shower simulations: the POWHEG method JHEP 11 (2007) 070
30 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
31 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
32 E. Re Single-top $ Wt $-channel-channel production matched with parton showers using the POWHEG method EPJC 71 (2011) 1547 1009.2450
33 T. Sjostrand et al. An introduction to PYTHIA 8.2 CPC 191 (2015) 159 1410.3012
34 CMS Collaboration Measurement of differential cross sections for top quark pair production using the lepton+jets final state in proton-proton collisions at 13 TeV PRD 95 (2017) 092001 CMS-TOP-16-008
1610.04191
35 GEANT4 Collaboration GEANT4: A simulation toolkit NIMA 506 (2003) 250
36 J. Allison et al. GEANT4 developments and applications IEEE Trans. Nucl. Sci. 53 (2006) 270
37 NNPDF Collaboration Parton distributions for the LHC Run II JHEP 04 (2015) 040 1410.8849
38 M. Cacciari, G. P. Salam, and G. Soyez The anti-$ k_t $ jet clustering algorithm JHEP 04 (2008) 063 0802.1189
39 M. Cacciari, G. P. Salam, and G. Soyez FastJet user manual EPJC 72 (2012) 1896 1111.6097
40 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
41 D. Krohn, M. D. Schwartz, M. Low, and L.-T. Wang Jet cleansing: pileup removal at high luminosity PRD 90 (2014) 065020 1309.4777
42 M. Cacciari and G. P. Salam Pileup subtraction using jet areas PLB 659 (2008) 119 0707.1378
43 CMS Collaboration Identification of b-quark jets with the CMS experiment JINST 8 (2013) P04013 CMS-BTV-12-001
1211.4462
44 CMS Collaboration Identification of b quark jets at the CMS Experiment in the LHC Run 2 CMS-PAS-BTV-15-001 CMS-PAS-BTV-15-001
45 CMS Collaboration Measurement of the $ \mathrm{t \overline{t}} $ production cross section in pp collisions at 7 TeV in lepton+jets events using b-quark jet identification PRD 84 (2011) 092004 CMS-TOP-10-003
1108.3773
46 CMS Collaboration CMS luminosity measurements for the 2016 data taking period CMS-PAS-LUM-17-001 CMS-PAS-LUM-17-001
47 M. Cacciari et al. The $ t\bar{t} $ cross-section at 1.8 TeV and 1.96 TeV: a study of the systematics due to parton densities and scale dependence JHEP 04 (2004) 068 hep-ph/0303085
48 S. Catani, D. de Florian, M. Grazzini, and P. Nason Soft gluon resummation for Higgs boson production at hadron colliders JHEP 07 (2003) 028 hep-ph/0306211
49 ATLAS Collaboration Measurement of the inelastic proton-proton cross section at $ \sqrt{s} = $ 13 TeV with the ATLAS detector at the LHC PRL 117 (2016) 182002 1606.02625
50 J. Butterworth et al. PDF4LHC recommendations for LHC Run II JPG 43 (2016) 023001 1510.03865
51 T. Muller, J. Ott, and J. Wagner-Kuhr theta --- a framework for template-based modeling and inference 2010
52 R. Barlow and C. Beeston Fitting using finite Monte Carlo samples Comp. Phys. Commun. 77 (1993) 219
Compact Muon Solenoid
LHC, CERN