REVIEW
Search for narrow resonances in dilepton mass spectra in pp collisions at sqrt(s) = 7 TeV
High Energy Physics - Experiment · Submitted 8 Jun 2012 · 42 references
Pith's verdict: A clean, standard 5 fb^-1 update of CMS's dilepton resonance search; the TeV-scale exclusions are solid and the acknowledged soft spot (high-pT electron efficiency from simulation) is bounded and does not threaten the result.
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Referee report
The paper
The paper claims
CMS finds no heavy dilepton resonance in 5 fb⁻¹ of 7 TeV data, and uses the absence to push exclusion limits on Z′ bosons and Kaluza–Klein gravitons to record masses.
The reading
What carries the argument
The load-bearing object is the ratio $R_σ$, the production cross section times dilepton branching fraction for a candidate resonance divided by the same quantity for the Standard Model $Z$ boson. Working with a ratio rather than an absolute rate cancels many experimental and theoretical uncertainties shared by the two measurements, and the search itself is a shape analysis rather than a counting experiment, so it does not depend on knowing the absolute background normalization. The fit is an extended unbinned likelihood built from a signal shape — a Breit–Wigner convolved with a Gaussian resolution function, with the width conservatively fixed to the $3.1%$ of the Sequential Standard Model $Z'$ — and a background shape $m^{-κ} e^{-α m}$ whose parameters are fixed from a fit to simulated background. The observed upper limit on $R_σ$ as a function of mass is then intersected with the predicted $R_σ$ bands for each model, including NNLO $K$ factors for the $Z'$ cases and a constant next-to-leading-order factor of $1.6$ for the graviton case, and the crossing point gives the mass limit.
Extended reading notes
Core claim
The paper's claim is that the dimuon and dielectron mass spectra collected by CMS at $7$ TeV, corresponding to $5.28$ fb$^{-1}$ in the muon channel and $4.98$ fb$^{-1}$ in the electron channel, are consistent with Standard Model expectations, and that this consistency excludes a set of narrow high-mass resonances below stated masses at 95% confidence level. The quoted numbers are $2330$ GeV for the Sequential Standard Model $Z'$, $2000$ GeV for the superstring-inspired $Z'_{psi}$, $890$ ($540$) GeV for the Stueckelberg $Z'_{St}$ at $epsilon = 0.06$ ($0.04$), and $2140$ ($1810$) GeV for Randall–Sundrum Kaluza–Klein gravitons at coupling $k/M_{Pl} = 0.10$ ($0.05$). The largest local excess anywhere in the search region is modest: a local $Z$ of $1.2$ at $1005$ GeV in dimuons, $1.7$ at $960$ GeV in dielectrons, and $2.1$ at $965$ GeV in the combination, with a look-elsewhere probability equivalent to $Z = 0.4$. The authors state that these are the most stringent limits on these models to date.
Load-bearing premise
The mass limits scale directly with the ratio of selection efficiency times acceptance at high resonance mass to that at the $Z$ peak, and above roughly $150$ GeV that ratio is taken from simulation alone; the authors acknowledge this, quoting $8%$ uncertainty for electrons where no pure high-energy electron sample exists and $3%$ for muons.
Editorial extensions
If this is right
- A Sequential Standard Model $Z'$ with standard-model-like couplings is excluded below $2330$ GeV, so any such boson must be heavier than that or couple differently than the benchmark assumes.
- The superstring-inspired $Z'_{psi}$ is excluded below $2000$ GeV, and the narrow Stueckelberg $Z'_{St}$ below $890$ GeV at $epsilon = 0.06$ and $540$ GeV at $epsilon = 0.04$.
- Randall–Sundrum Kaluza–Klein gravitons are excluded below $2140$ GeV for $k/M_{Pl} = 0.10$ and $1810$ GeV for $0.05$, so the strong-coupling corner of that model is pushed out of reach of the 7 TeV dataset.
- The result is also reported as excluded regions in the $(c_d, c_u)$ plane of $Z'$ fermion couplings, so the limits apply to whole families of models rather than only the four benchmark points.
- Because the spectra show no significant structure, the analysis sets a template for how later, larger datasets should be interpreted: the same $R_σ$ construction can be re-evaluated as luminosity and collision energy grow.
Reading between the lines
- The null result is more informative as a constraint on the coupling–mass plane than as a single number: the $(c_d, c_u)$ contours mean that a $Z'$ with suppressed couplings to up-type or down-type quarks can survive well below $2.3$ TeV, so the headline mass limit is a statement about benchmark couplings, not about the existence of $Z'$ bosons in general.
- The dielectron channel's weaker reach compared with dimuons at high mass is driven by the efficiency extrapolation, not by statistics; a future high-purity high-energy electron calibration sample would tighten the electron limit by an amount comparable to the current muon–electron gap.
- Since the graviton acceptance exceeds the $Z'$ acceptance by less than $8%$ and this difference was neglected, the quoted graviton limits are slightly conservative, and correcting for it would move them upward by a small amount.
- The absence of any excess near $1$ TeV in both channels at once, at a look-elsewhere significance consistent with background, makes it unlikely that a narrow resonance with these production rates is hiding anywhere in the accessible range of this dataset.
Original abstract
A search for narrow, high-mass resonances decaying to electron or muon pairs has been performed using pp collision data collected at sqrt(s) = 7 TeV by the CMS experiment in 2011. The data sample corresponds to an integrated luminosity of approximately 5 inverse femtobarns. The event yields observed in the signal regions are consistent with predictions of the standard model backgrounds, and upper limits on the cross section times branching fraction for a resonance decaying to dileptons are extracted from a shape analysis of the dilepton invariant mass distribution. The resulting mass limits at 95% confidence level are 2330 GeV for the Z' in the Sequential Standard Model, 2000 GeV for the superstring-inspired Z'(psi) resonance, 890 (540) GeV for the Stueckelberg extension Z'(St) with the mass parameter epsilon = 0.06 (0.04), and 2140 (1810) GeV for Kaluza--Klein gravitons with the coupling parameter k/Mbar(Pl) of 0.10 (0.05). These limits are the most stringent to date.
The compiled record
The paper's own sentences, arranged, kept beside the review and separate from it. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
The abstract, sentence by sentence
A search for narrow, high-mass resonances decaying to electron or muon pairs has been performed using pp collision data collected at sqrt(s) = 7 TeV by the CMS experiment in 2011. The data sample corresponds to an integrated luminosity of approximately 5 inverse femtobarns. The event yields observed in the signal regions are consistent with predictions of the standard model backgrounds, and upper limits on the cross section times branching fraction for a resonance decaying to dileptons are extracted from a shape analysis of the dilepton invariant mass distribution. The resulting mass limits at 95% confidence level are 2330 GeV for the Z' in the Sequential Standard Model, 2000 GeV for the superstring-inspired Z'(psi) resonance, 890 (540) GeV for the Stueckelberg extension Z'(St) with the mass parameter epsilon = 0.06 (0.04), and 2140 (1810) GeV for Kaluza--Klein gravitons with the coupling parameter k/Mbar(Pl) of 0.10 (0.05). These limits are the most stringent to date.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | A search for narrow, high-mass resonances decaying to electron or muon pairs has been performed using pp collision data collected at sqrt(s) = 7 TeV by the CMS experiment in 2011. | contribution 0.88 | 0.96 | 0.04 | asserted 0.99 |
| s1 | The data sample corresponds to an integrated luminosity of approximately 5 inverse femtobarns. | method 1.00 | 0.85 | 0.02 | asserted 0.96 |
| s2 | The event yields observed in the signal regions are consistent with predictions of the standard model backgrounds, and upper limits on the cross section times branching fraction for a resonance decaying to dileptons are extracted from a shape analysis of the dilepton invariant mass distribution. | result 0.71 | 0.96 | 0.25 | asserted 0.60 |
| s3 | The resulting mass limits at 95% confidence level are 2330 GeV for the Z' in the Sequential Standard Model, 2000 GeV for the superstring-inspired Z'(psi) resonance, 890 (540) GeV for the Stueckelberg extension Z'(St) with the mass parameter epsilon = 0.06 (0.04), and 2140 (1810) GeV for Kaluza--Klein gravitons with the coupling parameter k/Mbar(Pl) of 0.10 (0.05). | result 1.00 | 0.95 | 0.76 | asserted 1.00 |
| s4 | These limits are the most stringent to date. | interpretation 0.81 | 0.57 | 0.36 | asserted 1.00 |
What was examined, and what was not
- arXiv listing abstract v2
- full text
- figures and tables
- references and citing sentences
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- P abstract
- S sections
- T body sentences
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Figures
Figures reproduced from arXiv:1206.1849 by the authors.
References
How later papers used it
55 later papers cite it
2 later papers by other authors are listed below: 2 used its data or values. 1 more paper by the same authors is listed: 1 used its method or tool.
Uses its method or tool 1 of 4 papers with this label · 1 by the same authors
By the same authors
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Used the same event selection as this paper's search for new heavy resonances in the dimuon channel.
Search for contact interactions in opposite-sign dimuon events in pp collisions at sqrt(s) = 7 TeV (2012) (same authors) · 0.95 · paraphrased: the licence does not allow quoting
Uses its data or values 2 of 19 papers with this label
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Used the experimental data in the dilepton and lepton event samples collected by CMS at sqrt(s)=7 with an integrated luminosity of about 5 inverse femtobarns, as given in this paper.
Combining searches of Z' and W' bosons (2012) · 1.00 · paraphrased: the licence does not allow quoting
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Used data from direct searches of resonances decaying to leptons in CMS at the LHC, including this paper.
Vector triplets at the LHC (2013) · 1.00 · paraphrased: the licence does not allow quoting
How the literature uses it
53 arXiv papers cite this in 101 sentences
Papers citing it · 58 sentences without a confident label
Contests it 1 paper
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After this paper was completed, Alexander Belyaev informed us [ref] that both [ref] and the CMS analyses [ref] may list the wrong expression ([ref]), but not actually use it.
Remarks on the Z' Drell-Yan cross section · Conclusions · contest 0.78
Uses its method or tool 2 papers
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We follow the Bayesian procedure of Ref. [ref] , which is based on an unbinned extended maximum likelihood analysis.
Search for heavy narrow dilepton resonances in pp collisions at sqrt(s) = 7 TeV and sqrt(s) = 8 TeV · Results · 0.99
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The trigger efficiency has been measured using the “tag-and-probe” technique in dimuon events from Z decays described in [ref] .
Search for lepton flavour violating decays of heavy resonances and quantum black holes to an e-mu pair in proton-proton collisions at sqrt(s) = 8 TeV · Event selection · 0.86
Uses its data or values 19 papers
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We use the experimental data in the samples of $ℓ^+ ℓ^-$ and $ℓ+$ events collected by the CMS collaboration at $√(s)=7$ with an integrated luminosity $L_int∼5 fb^-1$, as given in Refs. [ref] and [ref] , respectively.
Combining searches of Z' and W' bosons · Combined searches of and bosons at the LHC · 1.00
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We use data from direct searches of resonances decaying to leptons in CMS at the LHC ( [ref] and [ref] ).
Vector triplets at the LHC · Vector triplets at the LHC: leptonic signals · 1.00
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The CMS search at $7$ TeV [ref] reports that the resolution on the dimuon invariant mass is 6.5% at masses around $1$ TeV, increasing to 12% at $2$ TeV, while the resolution in the dielectron channel is 1.1% for electron in the barrel and 2.3% when one electron is in the endcap calorimeter, staying constant above $500$ GeV.
Even tiers and resonances on the Real Projective Plane · $Z' →l^+ l^-$ searches · 0.99
Compares with it 3 papers
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We have then compared the resulting cross sections for the process $p p→X→l^+_jl^-_j$ with the exclusion limits presented in ATLAS [ref] and CMS [ref] [The different structure of the couplings in Eq. [ref] as compared to the ATLAS and CMS benchmark models leads to somewhat different kinematic distributions and experimental acceptances.
LHC probes the hidden sector · Dimension 6 operators · 0.84
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Both muon and electron trigger efficiencies are within 1–2% of those found in Ref. [ref] .
Search for heavy narrow dilepton resonances in pp collisions at sqrt(s) = 7 TeV and sqrt(s) = 8 TeV · Event selection and object reconstruction · 0.97
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These bounds are stronger than those from many $Z^'$ benchmark models, for which current LHC data typically give a lower bound of $M_Z^' ≳2$-$3$ TeV [ref] .
Family non-universal Z' models with protected flavor-changing interactions · Direct searches · 0.99
Cites it as background 5 papers
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Searches for high-mass $$ gauge bosons have been performed by the CMS Collaboration at the LHC with proton-proton collision data collected at $√(s) = 7$ [ref] and with data collected at $8$ [ref] .
Search for high-mass resonances in dilepton final states in proton-proton collisions at $\sqrt{s}=$ 13 TeV · Introduction · 0.91
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Previous dilepton searches by the LHC experiments have been reported in [ref] .
LHC Phenomenology and Cosmology of String-Inspired Intersecting D-Brane Models · LHC Phenomenology · 0.95
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Searches for high-mass gauge bosons in dilepton final states have a long history at the LHC, with the CMS Collaboration having reported results using proton-proton (pp) collision data from the LHC Run 1 (2010–2012) at $√(s) = 7$ [ref] and 8 [ref] , and more recently from the beginning of the LHC Run 2 (2015–2018) at 13 [ref] using early data corresponding to an integrated luminosity of 36collected in 2016.
Search for resonant and nonresonant new phenomena in high-mass dilepton final states at $\sqrt{s} = $ 13 TeV · Introduction · 0.93
What it cites · 14 sentences without a confident label
Uses the method or tool of 8 papers
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An upper limit on the ratio $R_σ$ of the cross section times branching fraction of a $$ boson relative to that for a Z boson was found using the Bayesian technique described in Ref. [ref] .
Search for Resonances in the Dilepton Mass Distribution in pp Collisions at sqrt(s) = 7 TeV · Statistical analysis and results · 1.00
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The calculated $$ and $$ cross sections include generated dileptons with masses only within $±$40% of the nominal resonance mass [ref] .
Z' physics with early LHC data · Statistical analysis and results · 0.80
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The [ref] matrix-element generator was used for $$, single top and $|PW + jets$ samples and the V1.1 framework [ref] for Drell–Yan to electrons and muons and single top samples.
A New Method for Combining NLO QCD with Shower Monte Carlo Algorithms · Event samples and event selection · 1.00
Uses data or values from 2 papers
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For the RS graviton model, a constant next-to-leading order K factor of 1.6 is used [ref] .
NLO-QCD Corrections to Dilepton Production in the Randall-Sundrum Model · Statistical analysis and results · 0.85
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The NNLO prediction for the $/γ^*$ production cross section in the mass window of 60 to 120is $0.97±0.04nb$ [ref] .
Electroweak gauge boson production at hadron colliders through O(alpha_s^2) · Statistical analysis and results · 1.00
Compares with 12 papers
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The observed limits are more restrictive than those previously obtained via similar direct searches by the Tevatron experiments [ref] and indirect searches by LEP-II experiments [ref] , as well as those obtained by ATLAS [ref] and CMS [ref] using smaller data samples.
Fermion pair production in e+e- collisions at 189-209 GeV and constraints on physics beyond the Standard Model · Statistical analysis and results · 1.00
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The observed limits are more restrictive than those previously obtained via similar direct searches by the Tevatron experiments [ref] and indirect searches by LEP-II experiments [ref] , as well as those obtained by ATLAS [ref] and CMS [ref] using smaller data samples.
Search for Resonances in the Dilepton Mass Distribution in pp Collisions at sqrt(s) = 7 TeV · Statistical analysis and results · 1.00
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The observed limits are more restrictive than those previously obtained via similar direct searches by the Tevatron experiments [ref] and indirect searches by LEP-II experiments [ref] , as well as those obtained by ATLAS [ref] and CMS [ref] using smaller data samples.
Search for High-Mass \boldmath$e^+e^-$ Resonances in \boldmath$p\bar{p}$ Collisions at \boldmath$\sqrt{s}=$1.96 TeV · Statistical analysis and results · 1.00
Cites as background 11 papers
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The model classes are described in [ref] .
Z' physics with early LHC data · Statistical analysis and results · 0.96
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The model classes are described in [ref] .
Search for Resonances in the Dilepton Mass Distribution in pp Collisions at sqrt(s) = 7 TeV · Statistical analysis and results · 0.96
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The narrow resonances predicted in these models include the Sequential Standard Model $$ with standard model couplings [ref] , the $$ expected in grand unified theories [ref] , the $$ produced in the Stueckelberg extension to the standard model [ref] , and the Kaluza–Klein graviton ($$) excitations arising in the Randall–Sundrum (RS) model of extra dimensions [ref] .
A Stueckelberg Extension of the Standard Model · Introduction · 0.97
Discussion
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