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CMS-EXO-21-009 ; CERN-EP-2022-268
Search for new physics in the $ \tau $ lepton plus missing transverse momentum final state in proton-proton collisions at $ \sqrt{s} = $ 13 TeV
JHEP 09 (2023) 051
Abstract: A search for physics beyond the standard model (SM) in the final state with a hadronically decaying tau lepton and a neutrino is presented. This analysis is based on data recorded by the CMS experiment from proton-proton collisions at a center-of-mass energy of 13 TeV at the LHC, corresponding to a total integrated luminosity of 138 fb$ ^{-1} $. The transverse mass spectrum is analyzed for the presence of new physics. No significant deviation from the SM prediction is observed. Limits are set on the production cross section of a W' boson decaying into a tau lepton and a neutrino. Lower limits are set on the mass of the sequential SM-like heavy charged vector boson and the mass of a quantum black hole. Upper limits are placed on the couplings of a new boson to the SM fermions. Constraints are put on a nonuniversal gauge interaction model and an effective field theory model. For the first time, upper limits on the cross section of $ t $-channel leptoquark (LQ) exchange are presented. These limits are translated into exclusion limits on the LQ mass and on its coupling in the $ t $-channel. The sensitivity of this analysis extends into the parameter space of LQ models that attempt to explain the anomalies observed in B meson decays. The limits presented for the various interpretations are the most stringent to date. Additionally, a model-independent limit is provided.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Leading order Feynman diagram for the production and decay of a new heavy charged vector boson, W', decaying to $ \tau\overline{\nu}_{\!\tau} $.

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Figure 2:
Branching fractions $ \mathcal{B}(\mathrm{W^{'}}) $ as function of the mixing angle $ \cot\theta_{\text{E}} $ (solid lines), for W' boson decays in the NUGIM G(221) framework, as calculated in Refs. [65,66,67]. The total decay width $ \Gamma_{\text{tot}} $ (dotted lines) can also be determined as a function of the mixing angle. When re-scaled to accommodate the WH decay channel, the values associated with $ \cot\theta_{\text{E}} = $ 1 correspond to those in the SSM.

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Figure 3:
Leading order Feynman diagram of the process $ \mathrm{p}\mathrm{p}\to\tau\overline{\nu}_{\!\tau} $ mediated via a leptoquark in the $ t $-channel.

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Figure 4:
The transverse mass distribution of the $ \tau_\mathrm{h}$+$p_{\mathrm{T}}^\text{miss} $ system observed in the 2016--2018 data (black dots with statistical uncertainty) as well as the expectation from SM processes (stacked histograms). The horizontal lines of the data points reflect the varying bin sizes. Different signal hypotheses normalized to 10 fb$ ^{-1} $ are illustrated as dashed lines for exemplary SSM W' boson, QBH, and EFT signal hypotheses. The ratios of the background-subtracted data yield to the expected background yield are presented in the lower panel. The combined statistical and systematic uncertainties in the background are represented by the grey shaded band in the ratio panel.

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Figure 5:
Bayesian 95% CL model-independent upper limit on the product of signal cross section and branching fraction for the $ \tau $+$ \nu $ decay for a back-to-back $ \tau $ lepton plus $ p_{\mathrm{T}}^\text{miss} $ topology. To calculate this limit, all events for signal, background, and data are summed starting from a minimum $ m_{\mathrm{T}} $ threshold and then divided by the total number of events. No assumption on the signal shape is included in this limit, however a signal selection efficiency of 16% is assumed. The expected (dashed line) and observed (solid line) limits are shown as well as the 68% and 95% CL uncertainty bands (green and yellow, respectively). The uncertainty bands correspond to the sum in quadrature of PDF and scale variations.

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Figure 6:
Bayesian upper exclusion limits at 95% CL on the product of the cross section and branching fraction of a W' boson decaying to a $ \tau $ lepton and a neutrino in the SSM model. For this model, W' boson masses of up to 4.8 TeV can be excluded. The limit is given by the intersection of the observed (solid) limit and the theoretical cross section (blue dotted curve). The 68 and 95% quantiles of the limits are represented by the green and yellow bands, respectively. The $ \sigma \mathcal{B} $ for an SSM W' boson, along with its associated uncertainty, calculated at NNLO precision in QCD is shown.

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Figure 7:
Bayesian upper exclusion limits on the ratio $ g_{\mathrm{W^{'}}}/g_{\mathrm{W}} $ for an SSM-like W' boson are shown on the left. The unity coupling ratio (blue dotted curve) corresponds to the SSM common benchmark. The lower exclusion limits on the NUGIM G(221) mixing angle cot$ \theta_{\text{E}} $ are shown on the right as a function of the W' boson mass. The theoretically excluded region is shaded in grey. The 68 and 95% quantiles of the limits are represented by the green and yellow bands, respectively.

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Figure 7-a:
Bayesian upper exclusion limits on the ratio $ g_{\mathrm{W^{'}}}/g_{\mathrm{W}} $ for an SSM-like W' boson are shown.

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Figure 7-b:
The lower exclusion limits on the NUGIM G(221) mixing angle cot$ \theta_{\text{E}} $ are shown as a function of the W' boson mass. The theoretically excluded region is shaded in grey. The 68 and 95% quantiles of the limits are represented by the green and yellow bands, respectively.

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Figure 8:
Bayesian upper exclusion limits at 95% CL on the product of the production cross section and branching fraction of a QBH in an associated $ \tau $ lepton and neutrino final state. The 68 and 95% quantiles of the limits are represented by the green and yellow bands, respectively. Masses of up to 6.6 TeV are excluded at 95% CL. The limit is given by the intersection of the observed (solid) limit and the theoretical cross section (blue dotted curve).

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Figure 9:
Bayesian upper limits at 95% CL on the cross section of the process $ \mathrm{p}\mathrm{p}\to\tau\nu $ mediated by LQ exchange in the $ t $-channel. The inner (green) band and the outer (yellow) band indicate the regions containing 68 and 95%, respectively, of the distribution of limits expected under the background-only hypothesis. The predicted LQ cross section at LO in the three coupling benchmark scenarios is depicted in different colors for $ g_{\mathrm{U}}= $ 1. The uncertainty bands correspond to the sum in quadrature of PDF and scale variations. The first benchmark scenario considers only couplings to LH SM fermions (i.e., $ \beta_{\text{R}}^{ij} = $ 0) and is referred to as ``best fit LH''. The second benchmark, referred to as ``best fit LH+RH'', considers $ \left|\beta_{\text{R}}^{ \mathrm{b}\tau}\right| = $ 1 and all other $ \beta_{\text{R}}^{ij} = $ 0. In the third ``democratic'' benchmark, equal couplings only to LH fermions are assumed, i.e., $ \left|\beta_{\rm{L}}^{ij}\right| = $ 1 and $ \beta_{\rm{R}}^{ij} = $ 0 for all $ i $ and $ j $.

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Figure 10:
Expected and observed upper limits of the LQ coupling $ g_{\mathrm{U}} $ as a function of the mass in the LH (left), LH+RH (right), and democratic (lower) scenarios. The blue band shows the 68 and 95% regions of $ g_{\mathrm{U}} $ preferred by the fit to the b anomalies data [44].

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Figure 10-a:
Expected and observed upper limits of the LQ coupling $ g_{\mathrm{U}} $ as a function of the mass in the LH scenario. The blue band shows the 68 and 95% regions of $ g_{\mathrm{U}} $ preferred by the fit to the b anomalies data [44].

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Figure 10-b:
Expected and observed upper limits of the LQ coupling $ g_{\mathrm{U}} $ as a function of the mass in the LH+RH scenario. The blue band shows the 68 and 95% regions of $ g_{\mathrm{U}} $ preferred by the fit to the b anomalies data [44].

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Figure 10-c:
Expected and observed upper limits of the LQ coupling $ g_{\mathrm{U}} $ as a function of the mass in the democratic scenario. The blue band shows the 68 and 95% regions of $ g_{\mathrm{U}} $ preferred by the fit to the b anomalies data [44].

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Figure 11:
Bayesian upper exclusion limits at 95% CL on each of the Wilson coefficients described by the EFT model in Section 3 based on 2016--2018 data. The three different coupling types represent a LH vector coupling ($ \epsilon^{\text{cb}}_{\text{L}} $), scalar-tensor-like coupling ($ \epsilon^{\text{cb}}_{\text{S}_{\text{L}}} $, and tensor-like coupling ($ \epsilon^{\text{cb}}_{\text{T}} $)). The 68 and 95% quantiles of the limits are represented by the green and yellow bands, respectively.
Tables

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Table 1:
Summary of 95% CL exclusion limits (expected and observed) derived from 2016--2018 data, for the physics models studied in this analysis: sequential standard model (SSM), nonuniversal gauge interaction model (NUGIM), a quantum black hole (QBH) interpretation, $ t $-channel leptoquark (LQ), and effective field interpretation (EFT).
Summary
A search for new resonant phenomena in the transverse mass distribution of a hadronically decaying $ \tau $ lepton and missing transverse momentum final state has been performed. The analysis uses 2016--2018 data collected with the CMS detector in proton-proton collisions with $ \sqrt{s}= $ 13 TeV at the LHC, corresponding to an integrated luminosity of 138 fb$ ^{-1} $. The newly developed DEEPTAU algorithm is used to identify $ \tau $ lepton candidates and to separate signal from background. Background from jets being misidentified as hadronically decaying $ \tau $ lepton candidates is derived from data. No significant deviation from the standard model expectations is observed. Upper limits are set at 95% confidence level on the product of the production cross section and branching fraction $ \sigma\mathcal{B} $ of a new resonance gauge boson (W') decaying to a $ \tau $ lepton and a neutrino. Lower limits are derived on the mass of a W' boson in the sequential standard model and on the mass of a quantum black hole. In the case of the generalized coupling model, upper limits on $ \sigma\mathcal{B} $ are translated into upper exclusion limits on the ratio of the couplings of the W' boson to that of the standard model W boson, $ g_{\mathrm{W^{'}}}/g_{\mathrm{W}} $. Similarly, limits are obtained on the mixing angle $ \theta_{E} $ for the nonuniversal gauge interaction model and on the Wilson coefficients for an effective field theory model. The process of $ t $-channel leptoquark (LQ) exchange is targeted explicitly in this analysis. For the first time, upper limits are placed on the cross section of the $ \mathrm{p}\mathrm{p}\to\tau\nu $ process mediated by $ t $-channel LQ exchange. Three benchmark coupling scenarios are tested that correspond to the best fits to the flavor anomaly data and to a generic democratic flavor structure. Significant portions of the LQ parameter space are excluded by placing upper limits on the LQ coupling $ g_{\text{U}} $ as a function of the LQ mass, including parts of the region preferred by a vector LQ explanation of the anomalies. Additionally, a model-independent limit is provided. The limits obtained for the various interpretations presented are the most stringent to date.
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link
1009.1003
Compact Muon Solenoid
LHC, CERN