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Updated Global Analysis of Higgs Couplings

High Energy Physics - Phenomenology · Submitted 15 Mar 2013 · 36 references

Pith's verdict: A solid Moriond-2013 update of the Ellis–You Higgs coupling fit; the sign result is real but conditional on SM loop content, and the abstract hides that condition.

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arXiv ID1303.3879 (version 1)
Pith IDZ2DPKZSM, Pith's permanent record of this paper and its review
CitationJohn Ellis, Tevong You. "Updated Global Analysis of Higgs Couplings." arXiv:1303.3879 (2013). https://pith.science/paper/Z2DPKZSM
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Referee report
The paper

The paper claims

A global fit to the first full round of LHC Higgs data finds that the new particle's couplings to fermions and to heavy bosons carry the same relative sign as in the Standard Model, and that their sizes track particle masses almost exactly.

The reading

The paper asks a narrow but consequential question: the particle discovered at the LHC is a Higgs boson, but is it *the* Standard Model Higgs boson? To answer, the authors collect essentially all public Higgs measurements available in March 2013 — signal strengths in the $bbar b$, $tau^+tau^-$, $gammagamma$, $WW^*$ and $ZZ^*$ channels from ATLAS, CMS and the Tevatron — and fit them to a two-parameter model in which the couplings to massive bosons and to fermions are each rescaled by a single number, $a$ and $c$. The combined signal strength comes out at $mu = 1.02^{+0.11}_{-0.12}$, i.e. the overall rate is already within about 13% of the Standard Model at 68% confidence. The headline result is that the fit now prefers $c>0$ over $c<0$ by $Delta chi^2 sim 9$, fixing the relative sign of the fermion and boson couplings for the first time. A second, more physical parameterization asks whether the couplings really scale with mass as $m^{1+epsilon}$ and whether the scale of that scaling is the electroweak scale $v = 246$ GeV; the data say yes to both, to within a few percent and 10% respectively.

What carries the argument

The machinery is a global likelihood built channel by channel from published signal strengths, event counts, or 95% CL limits, then combined across experiments and subchannels — including separate 0-, 1- and 2-jet bins whose vector-boson-fusion content (2%, 12%, 81%) is what breaks degeneracies between production and decay couplings. That likelihood is then mapped onto two coupling parameterizations: the multiplicative $(a, c)$ rescaling of an effective Lagrangian in which $a$ and $c$ measure deviations from the Standard Model for bosons and fermions, and the mass-scaling $(M, epsilon)$ form that tests whether the couplings follow $m^{1+epsilon}$ and whether the scale is $v$. The 2-jet bins do specific work here: they exclude the band around $c sim 0$ where gluon-fusion production would fake the signal, which is what sharpens the sign discrimination. Named alternatives — the composite-Higgs MCHM4 line $a = c$, the MCHM5 curve, and the anti-dilaton line $c = -a$ — are drawn on the same plane so the reader can see which survive.

Extended reading notes

Core claim

Two claims carry the paper. First, the relative sign of the Higgs couplings to fermions and to massive vector bosons is now determined: the global minimum sits at $a = 1.03 pm 0.06$ and $c = 0.84 pm 0.15$, and the mirror branch with $c<0$ is disfavoured by $Delta chi^2 sim 9$. This is not a symmetry of the fit — it comes from interference between the top-quark and $W$-boson loops in $H to gammagamma$, so the newly reported CMS diphoton result, compatible with the Standard Model, is what tips the balance. Second, using the parameterization $lambda_f = sqrt{2}(m_f/M)^{1+epsilon}$ and $g_V = 2 m_V^{2(1+epsilon)}/M^{1+2epsilon}$, the authors find $M = 244^{+20}_{-10}$ GeV and $epsilon = -0.022^{+0.042}_{-0.021}$, with a likelihood penalty of only $Delta chi^2 = 0.12$ for the Standard Model point $(M, epsilon) = (246 text{ GeV}, 0)$. In other words the couplings are linear in mass to within a few percent and normalized by the conventional symmetry-breaking scale to within 10%. Subsidiary results: the loop-induced couplings come out at $c_gamma = 1.18 pm 0.12$ and $c_g = 0.88 pm 0.11$ when the tree-level couplings are held at their Standard Model values; the total Higgs width lies within 20% of the Standard Model at 68% confidence; and, assuming Standard Model couplings and no new loop contributions, the invisible branching ratio is bounded at 0.04 (68% CL) and 0.13 (95% CL).

Load-bearing premise

The sign preference rests on the authors' own reconstruction of the CMS diphoton likelihood, which they report as $mu = 0.72^{+0.24}_{-0.26}$ against the official $0.78^{+0.28}_{-0.26}$ and which they themselves say largely drives the result, so a modest change in that one channel's treatment could weaken the $Delta chi^2 sim 9$ separation.

Editorial extensions

If this is right

  • The anti-dilaton scenario $c = -a$, and any model in which fermion and boson couplings enter with opposite relative sign, is excluded at roughly the $3sigma$ level by the current combination.
  • The absence of a significant diphoton anomaly means there is no longer empirical pressure for extra charged particles in the $H gammagamma$ loop; any new physics there must be arranged to leave $c_g$ near unity, since $c_g = 0.88 pm 0.11$.
  • Minimal composite-Higgs models remain viable only near the Standard Model limit, so the data already constrain the compositeness scale to be well above the electroweak scale in those constructions.
  • Because the total width is pinned to within 20% of the Standard Model value, the room left for invisible or non-Standard Higgs decays is small: a few percent at 68% confidence under Standard Model assumptions.

Reading between the lines

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

  • The sign discrimination is a statement about loop interference, not about a direct measurement of a fermion coupling sign; it therefore tests the *relative* structure of the $t$-quark and $W$ contributions to $H to gammagamma$, and a future independent extraction of that loop (for example from off-shell or high-$p_T$ Higgs production) would be a genuinely separate check.
  • The $(M, epsilon)$ result suggests a natural next step: rather than fitting one global $(M, epsilon)$, fit separate exponents per fermion species, since the current data are already sensitive at the few-percent level and the $tau$ and $b$ channels will tighten fastest.
  • If the couplings continue to sit on the linear, $v$-normalized line as errors shrink, the parameter space of composite and dilaton-like alternatives shrinks toward the decoupling limit, which inverts the usual logic: the Higgs mass and the coupling line would together be circumstantial evidence for a weakly coupled sector rather than a strongly coupled one.
  • The invisible-width bound is derived under the assumption of no new loop contributions; relaxing that assumption, as the authors do in one variant, shifts the preferred region, so a future direct search for invisible Higgs decays would be the cleaner discriminant.
Original abstract

There are many indirect and direct experimental indications that the new particle H discovered by the ATLAS and CMS Collaborations has spin zero and (mostly) positive parity, and that its couplings to other particles are correlated with their masses. Beyond any reasonable doubt, it is a Higgs boson, and here we examine the extent to which its couplings resemble those of the single Higgs boson of the Standard Model. Our global analysis of its couplings to fermions and massive bosons determines that they have the same relative sign as in the Standard Model. We also show directly that these couplings are highly consistent with a dependence on particle masses that is linear to within a few %, and scaled by the conventional electroweak symmetry-breaking scale to within 10%. We also give constraints on loop-induced couplings, on the total Higgs decay width, and on possible invisible decays of the Higgs boson under various assumptions.

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, 4,367 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.31 · human participants 0.02 · controlled comparison 0.35 · randomized assignment 0.01 · states quantitative result 0.96 · compares with prior results 0.53 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

There are many indirect and direct experimental indications that the new particle H discovered by the ATLAS and CMS Collaborations has spin zero and (mostly) positive parity, and that its couplings to other particles are correlated with their masses. Beyond any reasonable doubt, it is a Higgs boson, and here we examine the extent to which its couplings resemble those of the single Higgs boson of the Standard Model. Our global analysis of its couplings to fermions and massive bosons determines that they have the same relative sign as in the Standard Model. We also show directly that these couplings are highly consistent with a dependence on particle masses that is linear to within a few %, and scaled by the conventional electroweak symmetry-breaking scale to within 10%. We also give constraints on loop-induced couplings, on the total Higgs decay width, and on possible invisible decays of the Higgs boson under various assumptions.

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 There are many indirect and direct experimental indications that the new particle H discovered by the ATLAS and CMS Collaborations has spin zero and (mostly) positive parity, and that its couplings to other particles are correlated with their masses. background 1.00 0.08 0.05 hedged possibility 0.86
s1 Beyond any reasonable doubt, it is a Higgs boson, and here we examine the extent to which its couplings resemble those of the single Higgs boson of the Standard Model. contribution 0.55 0.27 0.08 asserted 1.00
s2 Our global analysis of its couplings to fermions and massive bosons determines that they have the same relative sign as in the Standard Model. result 1.00 0.96 0.44 asserted 1.00
s3 We also show directly that these couplings are highly consistent with a dependence on particle masses that is linear to within a few %, and scaled by the conventional electroweak symmetry-breaking scale to within 10%. result 1.00 0.95 0.27 asserted 0.89
s4 We also give constraints on loop-induced couplings, on the total Higgs decay width, and on possible invisible decays of the Higgs boson under various assumptions. contribution 0.68 0.94 0.04 asserted 0.95

What kind of paper the classifier reports this is: empirical study 0.92 · evidence from analysis of existing data 1.00.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • 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. A compilation of the Higgs signal strengths measured by the ATLAS, CDF, D0 and CMS Collaborations in the ¯bb, τ +τ −, γγ, WW∗ and ZZ∗ final states. We display the combinations of the different channels for each final state, and also the combination of all these measurements, with the result for the VBF and VH channels (excluding the γγ final state) shown separately in the bottom line. 3 Higgs Couplings to Bosons and Fermions Our first step in analyzing the implications of these data uses the following effective low￾energy nonlinear Lagrangian for the electroweak symmetry-breaking…
Figure 2. The constraints in the (a, c) plane imposed by the measurements in
Figure 3. The one-dimensional likelihood functions for the boson coupling parameter a (left panel) and the fermion coupling parameter c (right panel), as obtained by marginalizing over the other parameter in the bottom right panel of
Figure 4. Left: The constraints in the (cγ, cg) plane imposed by the measurements in
Figure 5. The one-dimensional likelihood functions for cγ (left panel) and cg (right panel), as obtained by marginalizing over the other variable in the bottom right panel of
Figure 6. The constraints in the (M, ) plane imposed by the measurements in
Figure 7. The one-dimensional likelihood functions for  (left panel) and M (right panel), as obtained by marginalizing over the other variable in the left panel of
Figure 8. Contours of the total Higgs decay rate relative to the Standard Model prediction in the (a, c) plane shown in the bottom right panel of
Figure 9. The one-dimensional likelihood function for the total Higgs decay width relative to its value in the Standard Model, R ≡ Γ/ΓSM, assuming decays into Standard Model particles alone and assuming a = c or equivalently  = 0 (solid line), marginalizing over (a, c) (dashed line) and marginalizing over (M, ) (dot-dashed line). require a > 1. Finally, the dashed line was obtained fixing (a, c) = (1, 1) (or equivalently (M, ) = (v, 0)), but marginalizing over the loop factors (cγ, cg). Conversely, the right panel of
Figure 10. Left: The branching ratio for Higgs decay into invisible particles obtained assuming the Standard Model decay rates for all the visible Higgs decays (solid), marginalizing over (cγ, cg) (dashed) and (a,c) (dot-dashed). Right: The constraints in the (cγ, cg) plane when marginalizing over the invisible branching ration BRinv. 14

Figures reproduced from arXiv:1303.3879 by the authors.

References
How later papers used it

101 later papers cite it

Evidence: substantial. 91 of the citing papers share no author with it, and 27 of those carry a confident label from Pith's citation classifier.

Pith read 14 of the 142 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

Uses its data or values 3 of 24 papers with this label · 1 by the same authors

By the same authors

Compares with it 1 of 4 papers with this label
How the literature uses it

100 arXiv papers cite this in 141 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 citing it · 93 sentences without a confident label

Uses its method or tool 2 papers
Uses its data or values 24 papers
  • The Run 2 data [ref] with improved measurements of the $hbb̅$ and $htt̅$ couplings, compared to what Run 1 could achieve [ref] , penetrate rather deep into the BSM parameter space, leading to new constraints.

    Probing the Higgs boson through Yukawa force · Introduction · 0.96

  • We are going to use the numerical values quoted in [ref] : $√(C_gg) =0.88 ±0.11$ and $√(C_γγ) = 1.18 ±0.12.$

    Constraining minimal and non-minimal UED models with Higgs couplings · Introduction · 1.00

  • The non-standard decay branching ratio of the SM Higgs boson is constrained to $Γ_h →inv < 1.2 MeV$ (branching ratio about $22%$) by the results of a global fitting to the most updated data from the CMS and ATLAS experiments at the Large Hadron Collider (LHC), as well as those from the Tevatron [ref] .

    Dark Photon as Fractional Cosmic Neutrino Masquerader · Collider Bounds From Higgs Invisible Width · 0.91

Compares with it 4 papers
Cites it as background 13 papers
  • Soon after the discovery of the 125 GeV Higgs boson, several analyses have been performed, for example, in the context of MSSM [ref] , general 2-Higgs doublet models [ref] , next-to minimal supersymmetric standard model (NMSSM) [ref] , effective theory framework [ref] .

    Status of MSSM Higgs Sector using Global Analysis and Direct Search Bounds, and Future Prospects at the HL-LHC · Introduction · 0.96

  • The Higgs couplings can be parametrized in terms of effective Lagrangians [ref] whose structure depends, however, on the class of models considered, such as extended Higgs sectors, extra fermions and/or scalars contributing to loop diagrams, composite Higgs bosons and/or fermions, nonlinear realizations of electroweak symmetry breaking, large extra dimensions, Higgs–dilaton mixing and more.

    Global fit to Higgs signal strengths and couplings and implications for extended Higgs sectors · Introduction · 0.95

  • Indirect searches may well give fruitful results prior to the discovery of new resonances, and may allow to explore and disentangle the two possible avenues of realisation of electroweak symmetry breaking (EWSB): linear [ref] –which is typical of BSM theories in which the Higgs particle is elementary– or non-linear [ref] –as for instance in models in which the Higgs boson is a composite pseudo-goldstone boson of some strong-interacting BSM theory or a dilaton.

    CP violation with a dynamical Higgs · Introduction · 0.97

What it cites · 11 sentences without a confident label

Uses data or values from 1 paper
Cites as background 5 papers

Discussion

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