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Scale-invariant resonance tagging in multijet events and new physics in Higgs pair production

High Energy Physics - Phenomenology · Submitted 26 Mar 2013 · 99 references

Pith's verdict: A genuinely useful tagging scheme with a clean analytic core; the 'uniform background rejection' claim is the one place it oversells, and the authors half-admit it in a footnote.

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arXiv ID1303.6636 (version 2)
Pith IDIGQ63AL2, Pith's permanent record of this paper and its review
CitationAlexandra Oliveira, Gavin P. Salam, Juan Rojo, Maxime Gouzevitch, Rogerio Rosenfeld, Veronica Sanz. "Scale-invariant resonance tagging in multijet events and new physics in Higgs pair production." arXiv:1303.6636 (2013). https://pith.science/paper/IGQ63AL2
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The paper

The paper claims

The paper proposes a single jet-tagging scheme that classifies events by how many mass-drop tags they contain, so that boosted and resolved resonance decays are handled by one analysis with roughly constant efficiency.

The reading

The paper asks whether a single search strategy can cover both the highly boosted and the fully resolved ways a heavy resonance can decay into four hadronic jets. Its answer is to count how many of the two hardest jets pass a BDRS mass-drop tagger, then route events into 2-tag, 1-tag, or 0-tag categories and apply the same mass and rapidity quality requirements in all three. The authors argue that because the underlying parton-level problem depends only on the mass ratio $r_M=M_X/(2M_Y)$, this tag-count classification gives signal efficiencies and QCD mistag rates that stay roughly constant as the boost changes. They then apply the scheme to resonant Higgs pair production in the $4b$ final state, using radion and Kaluza-Klein graviton models as benchmarks, and derive model-independent 95% CL limits on $[σ(pp→X) BR(X→HH)]$.

What carries the argument

The load-bearing object is the mass ratio $r_M=M_X/(2M_Y)$ and the tag-count taxonomy built around it. Each of the two hardest anti-$k_t$ jets is reclustered with the Cambridge/Aachen algorithm at radius 1.3 and passed through the BDRS mass-drop tagger ($μ=0.67$, $y_{cut}=0.09$); events with two tags are treated as two boosted $Y$ candidates, events with one tag as a mixed 1-tag topology, and events with no tags as a resolved four-jet topology. Common quality cuts on the two candidate masses, their rapidity separation, the separation of resolved subjets, and the subjet $p_T$ asymmetry enforce the same logic in all three categories. Filtering with three subjets improves the mass resolution. This machinery is what turns an unknown boost into a discrete tag count and makes the efficiency curve flat.

Extended reading notes

Core claim

The central claim is that a resonance-pair tagger built from the number of BDRS mass-drop tags smoothly interpolates between the boosted and resolved regimes, so that no separate analyses are needed. In the toy study, the combined efficiency stays between about 30% and 40% at parton level and 20% to 30% at hadron level across $r_M$ from 1 to 20; the QCD mistag probability is approximately scale invariant and, after requiring one $b$ tag per Higgs candidate, falls to about $10^{-4}$. Applied to $HH→4b$, the tagger plus $b$ tagging gives a roughly 15% signal efficiency in the relevant mass range, and the resulting 95% CL exclusion reach is about 200 fb at 500 GeV and about 1 fb at 2 TeV for 8 TeV with 25 fb$^{-1}$, with the 14 TeV and 500 fb$^{-1}$ projection reaching about 50 fb at 500 GeV. The paper presents this as evidence that the $4b$ channel can complement other Higgs-pair searches despite the QCD background.

Load-bearing premise

The load-bearing premise is that the Pythia8 multijet background used to estimate mistags is representative enough that the quoted exclusion reach survives the factor-of-two uncertainty the authors note in multijet topology rates, together with the leading-order and $b$-tagging modeling choices.

Editorial extensions

If this is right

  • A single analysis can cover resonance masses from the fully resolved threshold up to the highly boosted regime, replacing separate boosted and resolved searches.
  • The $HH→4b$ channel can set 95% CL limits on $σ(pp→X) BR(X→HH)$ of order 200 fb at 500 GeV and 1 fb at 2 TeV at the 8 TeV LHC with 25 fb$^{-1}$.
  • At 14 TeV with 500 fb$^{-1}$, the same channel reaches about 50 fb at 500 GeV and can probe bulk radion and bulk graviton scenarios over broad mass ranges.
  • The tag-count method is general for $pp→X→2Y→4z$ and can be adapted to other pair-produced resonances, including top-quark pairs.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • Because the tag fractions themselves vary smoothly with $r_M$, they could be used as a data-driven calibration of initial-state radiation and underlying-event modeling, rather than only as a signal selector.
  • The same tag-count logic could supply a background estimate directly from data: measure the 2-tag, 1-tag, and 0-tag yields in sidebands and extrapolate into the signal mass window, reducing dependence on the Pythia8 multijet rate.
  • If the efficiency really is scale invariant, an experimental analysis could quote a single efficiency curve for all resonance masses and treat the tag-count migration as a systematic uncertainty, which would simplify combinations across channels.
Original abstract

We study resonant pair production of heavy particles in fully hadronic final states by means of jet substructure techniques. We propose a new resonance tagging strategy that smoothly interpolates between the highly boosted and fully resolved regimes, leading to uniform signal efficiencies and background rejection rates across a broad range of masses. Our method makes it possible to efficiently replace independent experimental searches, based on different final state topologies, with a single common analysis. As a case study, we apply our technique to pair production of Higgs bosons decaying into $b\bar{b}$ pairs in generic New Physics scenarios. We adopt as benchmark models radion and massive KK graviton production in warped extra dimensions. We find that despite the overwhelming QCD background, the $4b$ final state has enough sensitivity to provide a complementary handle in searches for enhanced Higgs pair production at the LHC.

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.

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,920 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.25 · human participants 0.01 · controlled comparison 0.11 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.28 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

We study resonant pair production of heavy particles in fully hadronic final states by means of jet substructure techniques. We propose a new resonance tagging strategy that smoothly interpolates between the highly boosted and fully resolved regimes, leading to uniform signal efficiencies and background rejection rates across a broad range of masses. Our method makes it possible to efficiently replace independent experimental searches, based on different final state topologies, with a single common analysis. As a case study, we apply our technique to pair production of Higgs bosons decaying into $b\bar{b}$ pairs in generic New Physics scenarios. We adopt as benchmark models radion and massive KK graviton production in warped extra dimensions. We find that despite the overwhelming QCD background, the $4b$ final state has enough sensitivity to provide a complementary handle in searches for enhanced Higgs pair production at the LHC.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We study resonant pair production of heavy particles in fully hadronic final states by means of jet substructure techniques. contribution 0.79 0.87 0.03 asserted 0.93
s1 We propose a new resonance tagging strategy that smoothly interpolates between the highly boosted and fully resolved regimes, leading to uniform signal efficiencies and background rejection rates across a broad range of masses. contribution 0.76 0.90 0.23 asserted 0.96
s2 Our method makes it possible to efficiently replace independent experimental searches, based on different final state topologies, with a single common analysis. contribution 0.53 0.53 0.14 asserted 0.76
s3 As a case study, we apply our technique to pair production of Higgs bosons decaying into $b\bar{b}$ pairs in generic New Physics scenarios. contribution 0.60 0.87 0.05 asserted 0.81
s4 We adopt as benchmark models radion and massive KK graviton production in warped extra dimensions. method 0.98 0.68 0.03 asserted 0.95
s5 We find that despite the overwhelming QCD background, the $4b$ final state has enough sensitivity to provide a complementary handle in searches for enhanced Higgs pair production at the LHC. result 0.91 0.95 0.80 asserted 0.99

What kind of paper the classifier reports this is: method or tool 1.00 · evidence from simulation or computation 0.96.

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  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

Figures
Figure 1. Schematic diagrams for the generic process pp → X → 2Y → 4z in the boosted (left plot) regime, corresponding to large values of the mass ratio rM = MX/2MY , and in the resolved (right plot) regime, corresponding to small values of rM. If we assume that the heavy resonance X is produced at rest, so that the laboratory and center-of-mass reference frames coincide, we can parametrize the four momenta of the X → Y Y decay with the convention that P = (pT,x, pT,y, pL, E). We then have PX = (0, 0, 0, MX), (3) PY1 = MX 2 (βY · sin θ ∗ Y cos φ ∗ Y , βY · sin θ ∗ Y sin φ ∗ Y , βY
Figure 2. Left plot: the fraction of events with a given number of reconstructed jets, as a function of the resonance mass ratio rM (Eq. (2), for parton-level toy Monte Carlo events. No cuts have been applied to the final state particles. Right plot: the same at hadron-level, with the basic cuts Eq. (6) applied. Note that at parton level the only possible topologies are two-, three- and four-jet events, so their sum is equal to the total number of events. A higher density of mass points has been used in the left-hand figure than in the right-hand figure, and for rM . 1.5 only the left-hand…
Figure 3. Flow chart summarizing the basic structure of the resonance-pair tagger algorithm. The quality conditions are specified in the text. candidates.5 If these two candidates pass the mass and angular quality requirements given below, the event is classified as belonging to the 0-tag sample.6 Quality requirements. To identify the event as arising from the decay of the X resonance, Eq. (2), additional mass and angular quality conditions are required, which are essential to further suppress the QCD background. Some of these requirements are designed so as to apply similar conditions to…
Figure 4. Left plot: The efficiency of the resonance pair tagging algorithm as a function of resonances mass ratio rM Eq. (2) for parton-level toy Monte Carlo events. We show both the total efficiency and the break-up for the 2-tag, 1-tag and 0-tag samples. No cuts have been applied to the final state particles. Right plot: same for hadron-level events, which include the basic jet selection cuts. and the low rM 0-tag sample are the ones most affected by the transition from partons to hadrons. Let us mention that the production threshold region close to rM ∼ 1 is challenging from the jet…
Figure 5. The efficiency of the resonance pair tagging algorithm as a function of the resonance mass ratio rM, Eq. (2), for toy Monte Carlo events, comparing parton-level and hadron-level results for LHC 8 TeV. We show the total efficiency (upper left plot) and then the break-up for the 2-tag, 1-tag and 0-tag samples. The parton level results including the basic selection cuts Eq. (6) are very close to the inclusive parton level case and thus not shown here. so demanding that the efficiencies at low rM match the asymptotic large rM value, Eq. (14), we obtain ∆y res max = ln   1 + q  lim…
Figure 6. The total tagging efficiency for parton-level events (left plot) and for hadron-level events (right plot) for different values of the jet radii R as a function of the mass ratio rM. The default radius used in this paper is R = 0.5. the two tag sample is very similar at parton and hadron-level, for all the values for rM. The efficiencies for 0 and 1-tags sample have a similar shape but a smaller magnitude, and the shape is somewhat shifted down to lower rM values. This small shift between the parton-level and hadron-level efficiencies is perhaps attributable to transverse boosts…
Figure 7. Relative localization of the graviton (blue-dashed) and radion (red-solid) in the extra￾dimension. The profiles shown are the y-dimension component of the wave functions Eqs. 20 and 21. where φ(x) is the 4D wave function and e 2ky the localization profile in the fifth dimension. The fluctuations of 4D space-time are described by the graviton field Gµν(x, y). The massless zero mode of this field corresponds to the usual graviton. The first massive excitation, the lightest KK-graviton which will focus on, is G (1) µν (x, y) ∝ e 2ky J2  e 2ky mG k  G (1) µν (x), (21) where J2 is a…
Figure 8. Feynman diagrams for Higgs pair production in warped extra dimensions models medi￾ated by a radion φ (left plot) and a KK-graviton Gµν (right plot). The Higgs bosons then decay into a pair of b quarks. implications of recent measurements for limits on extra dimension models can be found in [23, 67–69]. Note than when experimental limits arise from decays to photons, leptons and four-fermion operators involving light fermions, they can be interpreted only in the context of RS1 but not in the bulk RS scenario. Bounds on the radion mass as a function of the cutoff scale Λφ have been…
Figure 9. (Left plot) Production cross sections as a function of the graviton and radion masses (mG,R), where the trivial dependence on the scale Λ = ΛG,R and the coupling to gluons (c = cg, 1) is factored out. Solid (dashed ) lines correspond to 8 (14) TeV. (Right plot) Graviton cross sections (at 8 TeV ), for specific choices of cg=1, 1/kL corresponding to RS1 and bulk RS. flexibility in that the coupling to the gluons is fixed independently of the localization of the SM fields. In the following we will assume that gluon fusion is the dominant process for both radion and KK-graviton…
Figure 10. Branching ratios of the graviton to the Higgs (black), tops (blue) and vector bosons (red-dashed), as a function of the top localization parameter νt. 20
Figure 11. Comparison between the hadron-level tagging efficiencies, at the 8 TeV LHC, for the toy Monte Carlo events and the radion and graviton MadGraph5 events. We show the total efficiencies and the breakup in different tagged samples, as a function of the boost factor rM. 4.2 B tagging The final state that we are interested in includes four b-quarks from the decays of the two Higgs bosons. Therefore, b-tagging will be an important ingredient to improve the signal over background ratio. We have adopted in this study a b-tagging scenario that we expect to be realistic (possibly…
Figure 12. The b-tagging efficiencies for graviton mediated Higgs pair production at the LHC 8 TeV. We show the efficiency of the resonance tagging (same as in the upper right plot of
Figure 13. Left plot: the QCD dijet cross section before and after the events are processed through the resonance-tagging algorithm, for LHC 14 TeV. Right plot: the mistag probability of QCD dijet events with the resonance tagging (RT) algorithm, defined as the ratio of mistags over the QCD cross section, without and with b-tagging, as a function of the mass point M. The mistag probability of QCD dijets at LHC 8 TeV is very similar. splitting of a quark or gluon. Note that while Pythia8 is known to underestimate the amount of QCD multi-jet topologies by a factor up to two with respect to…
Figure 14. Decomposition of the mistag probabilities according to the number of boosted-object tags in the event, without (left) and with (right) b-tagging. In addition, we demand that the two leading jets are separated in rapidity by less than ∆ymax. Note that the dijet cross sections flattens at small masses because there the selection cuts Eq. (40) have a sizable effect. In order to achieve an efficient QCD multijet event generation, for any candidate resonance mass M we have generated dijet events with a generation cut of pT ≥ M/5, and no generation cut in rapidity. To motivate this…
Figure 15. The model independent exclusion ranges in σ (pp → X) BR (X → HH) at the 95% confidence level for the production of a heavy resonance X which then decays into a Higgs boson pair, which decay subsequently into a bottom-antibottom pair. The left plot show the exclusion ranges at 8 TeV with L = 25 fb−1 while the right plot corresponds to 14 TeV with L = 500 fb−1 . (50 fb) at M ∼ 500 GeV at LHC 8 TeV (14 TeV), while at higher masses, M ∼ 2 TeV, the 4b final state is sensitive to cross sections as small as 1 fb at both energies. Note that the increase in luminosity when going from 8 to…
Figure 16. The expected number of events in the benchmark scenarios after both resonance tagging and b–tagging, at the LHC 8 (left plot) and 14 TeV (right plot). The integrated luminosities are L = 30 fb−1 at 8 TeV and L = 500 fb−1 at 14 TeV. nosities of L = 25 fb−1 at 8 TeV and of 500 fb−1 at 14 TeV. The model cross sections for the benchmark scenarios can be easily obtained from the results of Sect. 3, in partic￾ular from
Figure 17. Illustration of a signal mass peak superposed on the QCD background, for the case of an RS1 graviton with a mass of 1 TeV, in 14 TeV pp collisions. Candidate Resonance Mass ( TeV ) -1 3×10 -1 4×10 1 2 3 Cross Section ( fb ) -1 10 1 10 2 10 3 10 4 10 5 10 -1 LHC 8 TeV, L = 25 fb Excl. 95% CL (Res Tag) Excl. 95% CL (Res Tag + Btag) pp > G/R > HH (> 4b) G-Brane R-Comp R-Bulk G-Bulk Candidate Resonance Mass ( TeV ) -1 3×10 -1 4×10 1 2 3 Cross Section ( fb ) -1 10 1 10 2 10 3 10 4 10 5 10 -1 LHC 14 TeV, L = 500 fb Excl. 95% CL (Res Tag) Excl. 95% CL (Res Tag + Btag) pp > G/R > HH (> 4b)…
Figure 18. The 95% confidence level exclusion ranges at 8 TeV (left plot) and 14 TeV (right plot) compared to the specific cross sections of the four different model scenarios of
Figure 19. Left plot: the values of the massive KK graviton-gluon coupling cg that can be excluded at the 95% CL as a function of the graviton mass for 8 and 14 TeV. For 14 TeV we provide the results for both b-tagging scenarios. Right plot: same for the radion-gluon coupling κ φ g . TeV the 2H → 4b final state can access essentially all the relevant range, from the RS1 value cg = 1 down to the bulk value of cg = 1/35. For the case of the radion coupling κ φ g , we see that at 8 TeV we are sensitive to values down to κ φ g ' 0.06 around 750 GeV, while at 14 TeV the LHC can exclude a bulk ra

Figures reproduced from arXiv:1303.6636 by the authors.

References
How later papers used it

79 later papers cite it

Evidence: substantial. 64 of the citing papers share no author with it, and 10 of those carry a confident label from Pith's citation classifier.

Pith read 18 of the 100 citing sentences, choosing only those whose citation markers point at this paper alone, and wrote the paraphrases from them. The summary, the counts, the evidence level, the links and the quotes come from code; the summary counts the papers listed below. A later paper is listed under a label when Pith's citation classifier gives one of its sentences that label at probability 0.8 or more (0.95 for support), Pith's reading finds that the citing paper itself did it, and a second check confirms the paraphrase against the sentence. This section lists uses only. It does not list criticism or disagreement, so their absence here says nothing about how the paper has been received. Papers that share an author with this one are listed apart, under "By the same authors". A quote is the citing authors' own sentence, shown when their paper's licence is CC BY, CC BY-SA or CC0. JSON

Builds on it 1 paper
  • Significantly expanded on the proposals of this paper and other works in developing a reconstruction strategy for third-generation squarks.

    Searching for supersymmetry scalelessly (2016) · 1.00 · paraphrased: the licence does not allow quoting

Uses its method or tool 5 of 8 papers with this label · 2 by the same authors

By the same authors

How the literature uses it

78 arXiv papers cite this in 96 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers whose main result relates to this one's

Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States the same result 1 paper

Papers citing it · 59 sentences without a confident label

Builds on it 1 paper
  • In this paper we develop a reconstruction strategy for third-generation squarks that accumulates sensitivity from a wide range of different phase space regions and for a variety of signal processes[We significantly expand on the proposals of [ref] and [ref] .

    Searching for supersymmetry scalelessly · Introduction · 1.00

Uses its method or tool 7 papers
Compares with it 1 paper
  • However, the merging of $b$-jets would result in a different final state topology, aligning more closely with the one examined in Ref. [ref] .

    Di-Higgs production via Axion-Like Particles · A smoking gun of the ALP-mediated di-Higgs production · 0.91

Cites it as support 4 papers
Cites it as background 20 papers

What it cites · 52 sentences without a confident label

Uses the method or tool of 7 papers
  • Parton and hadron-level events were then clustered with the anti-$k_t$ jet algorithm [ref] with radius of $R=0.5$.

    The anti-k_t jet clustering algorithm · Scale-invariant resonance tagging · 1.00

  • We computed the production cross section of the processes $p p →G$, $ϕ$ at leading order (LO) using Madgraph5 [ref] .

    MadGraph 5 : Going Beyond · Production rates at the LHC · 1.00

  • In addition, in order to improve on resolution, jet masses are filtered [ref] as follows: the constituents of each tagged jet are reclustered with a smaller radius $R_filt=minΔR_sj,sj/2,R_f$, with $R_f=0.3$ and $ΔR_sj,sj$ the angular distance between the two subjets after mass-drop in the boosted case.

    Jet substructure as a new Higgs search channel at the LHC · Scale-invariant resonance tagging · 1.00

Uses data or values from 4 papers
Cites as background 27 papers

Discussion

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