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DOI 10.1393/ncc/i2018-18004-1 Colloquia: IFAE 2017

IL NUOVO CIMENTO 41 C (2018) 4

Search for heavy resonances decaying into W, Z, H bosons at CMS

L. Benato(1)(2) on behalf of the CMS Collaboration

(1) Universit`a degli Studi di Padova - Padova, Italy

(2) INFN, Sezione di Padova - Padova, Italy

received 21 April 2018

Summary. — A summary of searches for heavy resonances decaying in dibosons

is presented, performed on data produced by LHC p-p collisions at√s = 13 TeV

and collected with the CMS detector during 2016. The common feature of these analyses is the boosted topology: the decay products of the considered bosons (both electroweak (W , Z) bosons and the Higgs boson) are expected to be highly energetic and close in angle, leading to a non-trivial identification of the particles involved in the final state (quarks). The background estimation technique is data driven. Results are interpreted in the context of theories beyond the Standard Model.

1. – Introduction

Many Beyond Standard Model (BSM) theories foresee the existence of new heavy resonances (at TeV scale), as a consequence of the enlargement of the SM symmetry group, that represents a tentative solution to the open questions of the theory.

The Heavy Vector Triplet (HVT) model [1] is a general framework that encloses many other BSM theories. It introduces a triplet of neutral and charged heavy vector bosons (X0, X+, X): in the so-called HVT-A scenario, the fermionic decays of the triplet dominate, whilst in the HVT-B scenario, the decays into vector and scalar bosons is preferred.

In this document, searches for heavy diboson resonances performed with 2016 data provided by LHC proton-proton collisions and collected by the CMS detector, for an integrated luminosity of L = 35.9 fb−1, are presented. Two possible resonances are probed: a couple of vector bosons (V V ) decaying hadronically, or a vector boson and a Higgs boson (V H), decaying into quarks (V ) and into a couple of b quarks (H). Dealing with heavy particles (over 1 TeV) means that the decay products have a large Lorentz boost, hence the couples of quarks coming from bosons are expected to be collimated. Each boson is therefore reconstructed as a large-cone jet. Jet substructure techinques are exploited in order to discriminate the V or the H boson from the dominant multijet background. A detailed description of the CMS detector can be found in [2].

c

 CERN on behalf of the CMS Collaboration

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2 L. BENATO on behalf of the CMS COLLABORATION

2. – Event reconstruction and boson tagging

Given the boosted topology of the decay products, a pair of large-cone jets is re-quested, clustered with anti-kT algorithm in a cone ΔR = 0.8 and with high transverse

momenta (> 200 GeV). Events with charged leptons and neutrinos (reconstructed as missing transverse momentum) are rejected.

An interplay of two grooming algorithms is applied to jet candidates: the PUPPI algorithm [3] is designed to subtract the pile-up contributions from the jet (namely, energy deposits coming from spectator events, not involved in the primary interaction producing the heavy resonance), along with the soft-drop algorithm [4], that removes the soft radiation contributions. Exclusive categories of the groomed jet mass (mj) define

the boson type and hence the signal regions of the analyses: if it lies in the window 65 < mj < 85 GeV, the jet is tagged as W boson; if 85 < mj < 105 GeV it is a Z; if

105 < mj < 135 GeV it is a Higgs boson (fig. 1, left).

The τ21subjettiness [5] is a powerful variable to exploit the jet substructure: it com-pares the 2-prong jet substructure hypotesis (typical of hadronically decaying electroweak bosons) vs. the 1-prong hypotesis (that is peculiar of multijet QCD events). Signal events are expected to lie mainly at low τ21, whilst the dominant QCD background tends to higher values (fig. 1, center). Two exclusive categories are defined: high-purity category (low background contribution but few events) when 0 < τ21< 0.35, and low purity when 0.35 < τ21< 0.75 (QCD contamination but higher efficiency).

Higgs bosons are identified through their most probable decay (b¯b). The double b-tagger algorithm tags the presence of a pair of b-quarks in a large jet, by combining information about displaced tracks and secondary vertices with MVA techniques. Two exclusive categories are set: loose operating point, namely the lower tail of the distri-bution, where background contamination is expected, and tight operating point, mainly populated by genuine Higgs boson events (fig. 1, right).

When a heavy particle decays into a couple of electroweak bosons, 6 categories are defined, depending on the bosons flavour (W W , W Z, ZZ) and their purity categoriza-tion (τ21). For the V H resonances, 8 categories are defined, additionally considering the b-tagging working point. For each category, the search for local excess in data is performed by looking at the invariant mass spectra of the two most energetic large-cone jets, falling into the required criteria.

soft drop jet mass (GeV) 0 20 40 60 80 100 120 140 160 180 200 Events / 5.0 GeV 0 20 40 60 80 100 6 10 × Data Background =1200 GeV X ), m b H(b H(bb), mX=4000 GeV =1200 GeV W' ), m q W(q W(qq), mW'=4000 GeV =1200 GeV Z' ), m q Z(q Z(qq), mZ'=4000 GeV (13 TeV) -1 35.9 fb CMS Preliminary b b q q → VH → X W Z Higgs 21 τ N-subjettiness 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Events 0 10 20 30 40 50 60 70 80 6 10 × Data Background =1200 GeV X ), m b H(b H(bb), mX=4000 GeV =1200 GeV W' ), m q W(q =4000 GeV W' ), m q W(q =1200 GeV Z' ), m q Z(q Z(qq), mZ'=4000 GeV (13 TeV) -1 35.9 fb CMS Preliminary b b q q → VH → X

high purity low purity

b tagging discriminator 1 − −0.5 0 0.5 1 Events 0 5 10 15 20 25 30 6 10 × Data Background =1200 GeV X ), m b H(b H(bb), mX=4000 GeV =1200 GeV W' ), m q W(q W(qq), mW'=4000 GeV =1200 GeV Z' ), m q Z(q =4000 GeV Z' ), m q Z(q (13 TeV) -1 35.9 fb CMS Preliminary b b q q → VH → X tight loose

Fig. 1. – Significant variables used to discriminate signal events (coloured curves) with regards to multijet background (in shaded grey): the jet mass (left) defines the signal regions (W in green, Z in blue, H in red); τ21subjettiness (center) defines the purity categories for electroweak

bosons; the double b-tagger algorithm outcome (right) defines the categorization when a jet is identified as Higgs boson.

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SEARCH FOR HEAVY RESONANCES DECAYING INTO W, Z, H BOSONS AT CMS 3

3. – Background estimation and statistical analysis

Since multijet background is poorly modelled by Monte Carlo simulations, a data-driven approach is adopted: fits to data are performed in the signal region with power law or exponentially falling functions, with a variable number of parameters (2 to 5). A 10% confidence level Fisher test is used to determine the best choice. Signal shapes are fitted as crystal ball functions (namely, a Gaussian core with power law asymmetric tails) in Monte Carlo signal simulations, in the narrow-width approximation: the intrinsic width of the resonance is negligible (0.1%) when compared to the detector resolution.

In both V V and V H analyses, uncertainties assigned to the background shapes come from the covariance matrix of the function fits.

For the V V analysis, the most relevant uncertainty sources impacting on Monte Carlo signal samples are related to the τ21 tagging efficiency (up to 33%). In V H analysis, the largest uncertainties depend on V -tagging (up to 20%) and H-tagging (up to 8%). The mass resolution of the jet has different impacts (up to 36% in V V , 10% in V H). Minor uncertainties come from luminosity measurement, jet momentum resolution and energy corrections.

4. – Results and conclusions

The signal hypoteses are tested against the background-only hypotesis via the modi-fied frequentist prescription (asymptotic CLS method). Limits on the production

cross-section of the resonances times the branching ratios in the respective decay channels (V V, V H) are computed using a shape analysis of the di-jet invariant mass spectrum. Systematic uncertainties are treated as log-normal nuisance parameters and profiled in the statistical interpretation.

No excess is observed in data with regards to predictions. In the context of the HVT-B scenario, W and Z with masses below 3.6 TeV and 2.7 TeV are excluded by [6]. In the HVT-A scenario, W and Z with masses below 3.1 TeV and 2.5 TeV are excluded by [7]. Upper limits on the cross-section times branching ratio are set in the range 0.8–50 fb, as a function of the resonance mass.

REFERENCES

[1] Pappadopulo D., Thamm A., Torre R. and Wulzer A., JHEP, 09 (2014) 1. [2] CMS Collaboration, JINST, 3 (2008) S08004.

[3] Bertolini D., Harris P., Low M. and Tran N., JHEP, 10 (2014) 59. [4] Larkoski A. J., Marzani S., Soyez G. and Thaler J., JHEP, 05 (2014) 146. [5] Thaler J. and Van Tilburg K., JHEP, 03 (2011) 15.

[6] CMS Collaboration, Search for massive resonances decaying into WW, WZ, ZZ,

qW and qZ in the dijet final state at √s = 13 TeV CMS-PAS-B2G-17-001 (2017),

http://cds.cern.ch/record/2256663.

[7] CMS Collaboration, Search for heavy resonances decaying into a vector boson and

a Higgs boson in hadronic final states with 2016 data CMS-PAS-B2G-17-002 (2017),

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