CMS logoCMS event Hgg
Compact Muon Solenoid
LHC, CERN

CMS-PAS-EXO-17-008
Search for a W' boson decaying to a $\tau$ lepton and a neutrino in proton-proton collisions at $\sqrt{s}$ = 13 TeV
Abstract: A search for new high-mass resonances decaying to a tau lepton and a neutrino is reported. The analysis uses proton-proton collision data collected by the CMS experiment at the LHC at $\sqrt{s}= $ 13 TeV, corresponding to an integrated luminosity of 35.9 fb$^{-1}$. The search utilizes hadronically decaying tau leptons, $\tau_{\text{h}}$. No excess in the event yield is observed at high transverse masses of the $\tau_{\text{h}}$ and missing transverse momentum. An interpretation of results within the sequential standard model excludes W' boson masses below 4.0 TeV at 95% confidence level. Existing limits are also improved on models in which the W' boson decays preferentially to fermions of the third generation. For further reinterpretations, a model-independent limit on potential signals for various transverse mass thresholds is also presented along with limits on the coupling of the W' to standard model particles.
Figures & Tables Summary References CMS Publications
Figures

png pdf
Figure 1:
Feynman diagram of the expected signal $ {\mathrm {W}'} \rightarrow \tau \nu $.

png pdf
Figure 2:
Branching fractions B(W'), as functions of the mixing angle $\cot\theta _{\rm E}$ for the W' boson decays in the NUGIM G(221), as calculated in Refs. [2,24,25]. For $\cot\theta _{\rm E}$ = 1 the values are the same as those in the SSM, rescaled to accommodate the WH decay channel.

png pdf
Figure 3:
The ${M_\mathrm {T}}$ distribution after the final selection (left). The black points with error bars show data, while the filled histograms represent the SM backgrounds. Signal examples for SSM W' bosons with masses of 0.6, 1.0, 4.0, and 5.0 TeV are shown with the open histograms. The integral transverse mass distribution (right), where the value in each bin is equal to the number of events with transverse mass equal to or greater than the left of the bin. The lower panels show the ratio of data to prediction, and the gray band represents the systematic uncertainties.

png pdf
Figure 3-a:
The ${M_\mathrm {T}}$ distribution after the final selection (left). The black points with error bars show data, while the filled histograms represent the SM backgrounds. Signal examples for SSM W' bosons with masses of 0.6, 1.0, 4.0, and 5.0 TeV are shown with the open histograms. The integral transverse mass distribution (right), where the value in each bin is equal to the number of events with transverse mass equal to or greater than the left of the bin. The lower panels show the ratio of data to prediction, and the gray band represents the systematic uncertainties.

png pdf
Figure 3-b:
The ${M_\mathrm {T}}$ distribution after the final selection (left). The black points with error bars show data, while the filled histograms represent the SM backgrounds. Signal examples for SSM W' bosons with masses of 0.6, 1.0, 4.0, and 5.0 TeV are shown with the open histograms. The integral transverse mass distribution (right), where the value in each bin is equal to the number of events with transverse mass equal to or greater than the left of the bin. The lower panels show the ratio of data to prediction, and the gray band represents the systematic uncertainties.

png pdf
Figure 4:
Expected (black dashed line) and observed (black solid line) 95% CL upper cross section limits for an SSM W' boson. The shaded bands represent the one and two standard deviation (s.d.) uncertainty bands. The NNLO theoretical cross section with the corresponding PDF uncertainty band is also shown.

png pdf
Figure 5:
Expected (black dashed line) and observed (black solid line) 95% CL upper limits on the ratio of couplings as a function of the W' boson mass. The values above the limit are excluded. The shaded bands represent the one and two standard deviation (s.d.) uncertainty bands.

png pdf
Figure 6:
Left: The width of the W' boson as a function of $M_{{\mathrm {W}'}}$ and mixing angle $\cot\theta _{\rm E}$ in NUGIM, as obtained from Ref. [25]. Right: Expected (black dashed line) and observed (black solid line) 95% CL upper limits on the mixing angle $\cot\theta _{\rm E}$ as a function of the W' boson mass. The region left of the solid line is excluded. The shaded bands represent the one and two standard deviation (s.d.) uncertainty bands.

png pdf
Figure 6-a:
Left: The width of the W' boson as a function of $M_{{\mathrm {W}'}}$ and mixing angle $\cot\theta _{\rm E}$ in NUGIM, as obtained from Ref. [25]. Right: Expected (black dashed line) and observed (black solid line) 95% CL upper limits on the mixing angle $\cot\theta _{\rm E}$ as a function of the W' boson mass. The region left of the solid line is excluded. The shaded bands represent the one and two standard deviation (s.d.) uncertainty bands.

png pdf
Figure 6-b:
Left: The width of the W' boson as a function of $M_{{\mathrm {W}'}}$ and mixing angle $\cot\theta _{\rm E}$ in NUGIM, as obtained from Ref. [25]. Right: Expected (black dashed line) and observed (black solid line) 95% CL upper limits on the mixing angle $\cot\theta _{\rm E}$ as a function of the W' boson mass. The region left of the solid line is excluded. The shaded bands represent the one and two standard deviation (s.d.) uncertainty bands.

png pdf
Figure 7:
Expected (thick black dashed line) and observed (thick black solid line) 95% CL upper cross section limits for an SSM W' boson together with shaded bands that represent the one and two standard deviation (s.d.) uncertainty regions. The LO (dotted thin line) and NNLO (solid thin line) theoretical cross sections with the corresponding PDF uncertainty band are also shown.
Tables

png pdf
Table 1:
Measured event yields compared to the expected yields for the signal and background contributions, for three regions of ${M_\mathrm {T}}$. The uncertainties correspond to the total systematic uncertainties.
Summary
A search for new physics in final states with a hadronically decaying $\tau$ lepton and missing transverse momentum is performed by the CMS experiment, using proton-proton collision data at the center-of-mass energy $\sqrt{s} = $ 13 TeV with an integrated luminosity of 35.9 fb$^{-1}$. No significant excess beyond the standard model expectation is observed in the transverse mass distribution. A sequential standard model (SSM) W' boson is excluded in the mass range 0.4 $ < M_{\mathrm{W'}} < $ 4.0 TeV at 95% confidence level. Couplings that are weaker than assumed in the SSM can be excluded down to values of $7\times10^{-2}$ for $M_{\mathrm{W'}} = $ 1 TeV. Within the nonuniversal gauge interaction $SU(2) \times SU(2) \times U(1)$ model, the lower limit on the W' boson mass depends on the coupling constant $\cot\theta_{\rm E}$ and varies from 1.7 to 3.9 TeV at 95% confidence level. In addition, a model-independent limit is provided allowing other interpretations in models with the same final state and similar kinematics.
References
1 G. Altarelli, B. Mele, and M. Ruiz-Altaba Searching for New Heavy Vector Bosons in $ p \bar{p} $ Colliders Z. Phys. C 45 (1989) 109, .[Erratum: \it Z. Phys. C\/ \bf 47 (1990) 676]
2 C.-W. Chiang, N. G. Deshpande, X.-G. He, and J. Jiang The Family $ SU(2)_l \times SU(2)_h \times U(1) $ Model PRD 81 (2010) 015006 0911.1480
3 X. Li and E. Ma Gauge Model of Generation Nonuniversality PRL 47 (1981) 1788
4 D. J. Muller and S. Nandi Top flavor: A separate SU(2) for the third family PLB 383 (1996) 345 hep-ph/9602390
5 E. Malkawi, T. M. P. Tait, and C. P. Yuan A model of strong flavor dynamics for the top quark PLB 385 (1996) 304 hep-ph/9603349
6 K. Hsieh, K. Schmitz, J.-H. Yu, and C. P. Yuan Global Analysis of General SU(2) x SU(2) x U(1) Models with Precision Data PRD 82 (2010) 035011 1003.3482
7 CMS Collaboration Search for W' decaying to tau lepton and neutrino in proton-proton collisions at $ \sqrt{s} = $ 8 TeV PLB 755 (2016) 196 CMS-EXO-12-011
1508.04308
8 ATLAS Collaboration Search for High-Mass Resonances Decaying to $ \tau\nu $ in $ pp $ Collisions at $ \sqrt{s} = $ 13 TeV with the ATLAS Detector PRL 120 (2018), no. 16, 161802 1801.06992
9 CMS Collaboration Search for high-mass resonances in final states with a lepton and missing transverse momentum at $ \sqrt{s}= $ 13 TeV Submitted to: JHEP (2018) CMS-EXO-16-033
1803.11133
10 CMS Collaboration Search for a heavy resonance decaying into a Z boson and a vector boson in the $ \nu\overline{\nu}\mathrm{q}\overline{\mathrm{q}} $ final state CMS-B2G-17-005
1803.03838
11 CMS Collaboration Search for dijet resonances in proton–proton collisions at $ \sqrt{s} = $ 13 TeV and constraints on dark matter and other models PLB 769 (2017) 520--542 CMS-EXO-16-032
1611.03568
12 CMS Collaboration 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 PLB 777 (2018) 39--63 CMS-B2G-17-010
1708.08539
13 CMS Collaboration Description and performance of track and primary-vertex reconstruction with the CMS tracker JINST 9 (2014) P10009 CMS-TRK-11-001
1405.6569
14 CMS Collaboration The CMS trigger system JINST 12 (2017) P01020 CMS-TRG-12-001
1609.02366
15 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004 CMS-00-001
16 E. Boos, V. Bunichev, L. Dudko, and M. Perfilov Interference between $ W^\prime $ and $ W $ in single-top quark production processes PLB 655 (2007) 245--250 hep-ph/0610080
17 T. Sjostrand et al. An introduction to PYTHIA 8.2 Comp. Phys. Comm. 191 (2015) 159 1410.3012
18 R. D. Ball et al. Impact of Heavy Quark Masses on Parton Distributions and LHC Phenomenology NPB 849 (2011) 296--363 1101.1300
19 R. D. Ball et al. Parton distributions with LHC data NPB867 (2013) 244--289 1207.1303
20 P. Skands, S. Carrazza, and J. Rojo Tuning PYTHIA 8.1: the Monash 2013 Tune EPJC 74 (2014), no. 8 1404.5630
21 R. Gavin, Y. Li, F. Petriello, and S. Quackenbush W Physics at the LHC with FEWZ 2.1 CPC 184 (2013) 208 1201.5896
22 Y. Li and F. Petriello Combining QCD and electroweak corrections to dilepton production in FEWZ PRD 86 (2012) 094034 1208.5967
23 J. Alwall et al. MadGraph 5: Going Beyond JHEP 06 (2011) 128 1106.0522
24 Y. G. Kim and K. Y. Lee Early LHC bound on the W′ boson mass in the nonuniversal gauge interaction model PLB 706 (2012) 367 1105.2653
25 L. Edelhauser and A. Knochel Observing nonstandard $ W' $ and $ Z' $ through the third generation and Higgs lens 1408.0914
26 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
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 S. G. Bondarenko and A. A. Sapronov NLO EW and QCD proton-proton cross section calculations with mcsanc-v1.01 CPC 184 (2013) 2343 1301.3687
29 J. R. Andersen et al. Les Houches 2013: Physics at TeV Colliders: Standard Model Working Group Report 1405.1067
30 S. Frixione, P. Nason, and C. Oleari Matching NLO QCD computations with Parton Shower simulations: the POWHEG method JHEP 11 (2007) 070 0709.2092
31 P. Nason A New method for combining NLO QCD with shower Monte Carlo algorithms JHEP 11 (2004) 040 hep-ph/0409146
32 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
33 S. Alioli, P. Nason, C. Oleari, and E. Re NLO single-top production matched with shower in POWHEG: s- and t-channel contributions JHEP 09 (2009) 111 0907.4076
34 E. Re Single-top Wt-channel production matched with parton showers using the POWHEG method EPJC 71 (2011) 1547 1009.2450
35 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
36 GEANT4 Collaboration GEANT4: A simulation toolkit NIMA 506 (2003) 250
37 CMS Collaboration Particle-flow reconstruction and global event description with the cms detector JINST 12 (2017) P10003 CMS-PRF-14-001
1706.04965
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 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
41 CMS Collaboration Electron and photon performance in CMS with the full 2016 data sample CMS Detector Performance Note CMS-DP-17-004 (2017)
42 CMS Collaboration Performance of the CMS muon detector and muon reconstruction with proton-proton collisions at $ \sqrt{s} = $ 13 TeV Submitted to \it JINST CMS-MUO-16-001
1804.04528
43 CMS Collaboration Reconstruction and identification of $ \tau $ lepton decays to hadrons and $ \nu_{\tau} $ at CMS JINST 11 (2016) P01019 CMS-TAU-14-001
1510.07488
44 CMS Collaboration Performance of reconstruction and identification of $ \tau $ leptons in their decays to hadrons and $ \nu_{\tau} $ in LHC Run-2
45 CMS Collaboration Observation of the Higgs boson decay to a pair of $ \tau $ leptons with the CMS detector PLB 779 (2018) 283--316 CMS-HIG-16-043
1708.00373
46 CMS Collaboration Performance of the CMS missing transverse momentum reconstruction in pp data at $ \sqrt{s} = $ 8 TeV JINST 10 (2015) P02006 CMS-JME-13-003
1411.0511
47 CMS Collaboration Search for dark matter produced with an energetic jet or a hadronically decaying W or Z boson at $ \sqrt{s}= $ 13 TeV JHEP 07 (2017) 014 CMS-EXO-16-037
1703.01651
48 CMS Collaboration Performance of Photon Reconstruction and Identification with the CMS Detector in Proton-Proton Collisions at sqrt(s) = 8 TeV JINST 10 (2015), no. 08, P08010 CMS-EGM-14-001
1502.02702
49 J. Butterworth et al. PDF4LHC recommendations for LHC Run II JPG 43 (2016) 023001 1510.03865
50 CMS Collaboration Measurement of the inelastic proton-proton cross section at $ \sqrt{s}= $ 13 TeV CMS-FSQ-15-005
1802.02613
51 CMS Collaboration CMS Luminosity Measurement for the 2016 Data Taking Period
52 Particle Data Group, C. Patrignani et al. Review of particle physics CPC 40 (2016) 100001
53 CMS Collaboration Search for heavy gauge W' boson in events with an energetic lepton and large missing transverse momentum at $ \sqrt{s} = $ 13 TeV PLB 770 (2017) 278 CMS-EXO-15-006
1612.09274
54 ATLAS Collaboration Search for a new heavy gauge boson resonance decaying into a lepton and missing transverse momentum in 36 fb$ ^{-1} $ of $ pp $ collisions at $ \sqrt{s} = $ 13 TeV with the ATLAS experiment 1706.04786
Compact Muon Solenoid
LHC, CERN