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Higgs Decays in the Low Scale Type I See-Saw Model

High Energy Physics - Phenomenology · Submitted 17 Aug 2012 · 31 references

Pith's verdict: The h → νN branching-ratio result is sound and new; the LHC reach curves are systematics-limited and should not be taken at face value.

T0 · AI review

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arXiv ID1208.3654 (version 2)
Pith IDEOXUQ25Y, Pith's permanent record of this paper and its review
CitationA. Ibarra, C. Garcia Cely, E. Molinaro, S. T. Petcov. "Higgs Decays in the Low Scale Type I See-Saw Model." arXiv:1208.3654 (2012). https://pith.science/paper/EOXUQ25Y
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Referee report
The paper

The paper claims

The paper argues that in the low-scale type I see-saw model, the Higgs boson can decay into a light neutrino plus a heavy pseudo-Dirac neutrino with a branching ratio as large as about 20%, without violating any existing constraint fromneut

The reading

The paper asks whether the Higgs boson discovered at the LHC can decay into a light neutrino and a heavy neutrino, and whether that decay could be seen. In the low-scale type I see-saw model with two heavy Majorana neutrinos near the electroweak scale, the two heavy states pair up into a pseudo-Dirac fermion $N_{PD}$, and the same Yukawa coupling $y$ that generates the light neutrino masses also controls the Higgs coupling to $N_{PD}$. The authors show that the rate is $y^2$-suppressed but not hopelessly so: at $m_h = 125$ GeV and $M_1 = 100$ GeV the ratio to $h$ to $b$ anti-$b$ is roughly $0.19 (y/0.05)^2$, so a branching ratio near 20% survives every current bound. They then simulate the chain $h$ to $ν N_{PD}$, $N_{PD}$ to $W$ plus charged lepton, $W$ to two jets, and estimate the LHC reach. The point of interest is that a collider measurement of this exotic Higgs channel and the MEG search for $μ$ to $e γ$ probe the same coupling from opposite directions, so one can confirm or exclude the other.

What carries the argument

The load-bearing object is the pseudo-Dirac heavy neutrino $N_{PD} = (N_1 ± i N_2)/√2$, formed because the neutrino mass constraint $|Σ_k (RV)^*_{ℓ' k} M_k (RV)^†_{k ℓ}| ≲ 1$ eV forces $M_2 = M_1(1+z)$ with $z ≪ 1$ when the heavy masses sit below the Higgs mass. This near-degeneracy is what allows a large Yukawa coupling $y$ while keeping the light neutrino masses small, and it is the same coupling that appears in the Higgs vertex, in the $W$ and $Z$ couplings of $N$, and in the one-loop amplitude for $μ$ to $e γ$. The flavour structure of $(RV)_{ℓ k}$ is fixed by the oscillation data through explicit formulas for normal and inverted hierarchy, which is what makes the $e$-plus-$μ$ fraction of $N$ decays predictable: about 0.94 for inverted hierarchy and 0.20 to 0.80 for normal hierarchy.

Extended reading notes

Core claim

The central claim is that the severe constraints on the low-scale type I see-saw model, namely reproducing the measured neutrino masses and mixings, the null results on $μ$ to $e γ$, $μ$ to $3e$ and $μ$ to $e$ conversion, LEP2 searches for heavy singlet neutrinos, and electroweak precision data, still leave an open window in which the Higgs decays into a light and a heavy neutrino with a sizable branching ratio. The heavy states $N_1$ and $N_2$ must be nearly degenerate to satisfy the neutrino mass constraint, so they form a pseudo-Dirac pair, and the decay $h$ to $ν_{ℓL} N_{PD}$ has rate $Γ = (1/16π) y^2 m_h (1 - M_1^2/m_h^2)^2$. Saturating the MEG-derived limits $y ≲ 0.042$ (normal hierarchy) and $y ≲ 0.056$ (inverted hierarchy) at $M_1 = 100$ GeV gives a branching ratio up to roughly 20%, and correspondingly suppresses the Standard Model Higgs branching ratios by as much as 25%. The paper then shows that with 10 inverse femtobarns at 14 TeV, values of $y$ as small as about 0.02 with $90$ GeV $≲ M_1 ≲ 110$ GeV would give a 3 to 5 $\sigma$ signal in the one-lepton-plus-two-jets-plus-missing-energy channel.

Load-bearing premise

The sizable branching ratio requires the neutrino Yukawa coupling to sit at its current upper limit, a limit derived from the MEG bound on $μ$ to $e γ$ rather than measured, so any real coupling well below that ceiling shrinks the predicted rate quadratically.

Editorial extensions

If this is right

  • A Higgs decaying through $h$ to $ν N_{PD}$ suppresses every Standard Model Higgs branching ratio by up to about 25%, a deviation large enough to matter for precision Higgs coupling fits.
  • With 10 inverse femtobarns at 14 TeV, the LHC can probe $y ≳ 0.02$ for $90$ GeV $≲ M_1 ≲ 110$ GeV at 3 to 5 sigma, which is the same range MEG probes through $μ$ to $e γ$.
  • If MEG reaches $BR(μ$ to $e γ) ∼ 10^{-13}$ without a signal, the resulting bound excludes $BR(h$ to $ν N) ≳ 1%$ for $M_1 ≳ 100$ GeV, closing the collider window.
  • Conversely, a positive MEG signal at that level would imply Standard Model Higgs branching ratio deviations larger than 2%, up to 25%, for $70$ GeV $≲ M_1 ≲ 100$ GeV.
  • For $M_1 > m_h$ the exotic channels $h$ to $ν N$ to $ν ν Z$ or $ν ℓ W$ are too suppressed by $y^4$ and three-body phase space to be observable.

Reading between the lines

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

  • The whole observable window is a boundary phenomenon: the predicted rate is largest exactly where the model is about to be excluded, so a null result at both MEG and the LHC would not so much rule out the scenario as squeeze it into a corner where the heavy neutrinos decouple from everything.
  • Because the same $y$ sets the Higgs vertex and the $μ$ to $e γ$ loop, a joint MEG-plus-LHC null result can be read as a measurement of $y$ from above rather than merely a bound, which is a stronger statement than either experiment makes alone.
  • The analysis assumes the pseudo-Dirac degeneracy $z ≪ 1$; if the two heavy states were split by an amount comparable to the Higgs width, the Higgs could resolve them and the interference between the $N_1$ and $N_2$ contributions to $h$ to $ν N$ would change the rate in a way the present treatment does not track.
  • The same one-lepton-two-jet-plus-missing-energy signature is shared by other electroweak-scale neutrino-mass models, so the quoted reach is best read as a template for a broader class of searches rather than a test of type I see-saw alone.
Original abstract

The couplings of the low scale type I see-saw model are severely constrained by the requirement of reproducing the correct neutrino mass and mixing parameters, by the non-observation of lepton number and charged lepton flavour violating processes and by electroweak precision data. We show that all these constraints still allow for the possibility of an exotic Higgs decay channel into a light neutrino and a heavy neutrino with a sizable branching ratio. We also estimate the prospects to observe this decay at the LHC and discuss its complementarity to the indirect probes of the low scale type I see-saw model from experiments searching for the $\mu\to e\gamma$ decay.

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, 3,092 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.32 · human participants 0.02 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.11 · compares with prior results 0.50 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

The couplings of the low scale type I see-saw model are severely constrained by the requirement of reproducing the correct neutrino mass and mixing parameters, by the non-observation of lepton number and charged lepton flavour violating processes and by electroweak precision data. We show that all these constraints still allow for the possibility of an exotic Higgs decay channel into a light neutrino and a heavy neutrino with a sizable branching ratio. We also estimate the prospects to observe this decay at the LHC and discuss its complementarity to the indirect probes of the low scale type I see-saw model from experiments searching for the $\mu\to e\gamma$ decay.

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 The couplings of the low scale type I see-saw model are severely constrained by the requirement of reproducing the correct neutrino mass and mixing parameters, by the non-observation of lepton number and charged lepton flavour violating processes and by electroweak precision data. background 1.00 0.09 0.04 asserted 1.00
s1 We show that all these constraints still allow for the possibility of an exotic Higgs decay channel into a light neutrino and a heavy neutrino with a sizable branching ratio. result 0.93 0.92 0.83 asserted 0.59
s2 We also estimate the prospects to observe this decay at the LHC and discuss its complementarity to the indirect probes of the low scale type I see-saw model from experiments searching for the $\mu\to e\gamma$ decay. contribution 0.96 0.90 0.12 asserted 0.77

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 0.48.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
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. Values of the neutrino Yukawa coupling y probed by Higgs decays into NP D for mh = 125 GeV. The grey region is excluded by LEP2 data [26] and searches of lepton flavour violation [9, 25]. The cyan area represents the region of the parameter space which can be probed by the MEG experiment with the projected sensitivity to BR(µ → eγ) = 10−13 . is directly related to the neutrino Yukawa coupling y defined in eq. (9). Indeed, from the Lagrangian eq. (2) and eq. (9) we obtain: Γ(h → νN) ≡ X ℓ=e,µ,τ
Figure 2. Relative reduction of the Standard Model Higgs boson bra
Figure 3. Upper limit on the Yukawa coupling for various values of the r
Figure 4. Reconstructed normalized distributions 1 σ dσ d6ET vs. the missing transverse energy, 6ET , for various RH neutrino masses: M1 =120 GeV (continuous line), M1 =110 GeV (dotted line), M1 =100 GeV (short dashed line) and M1 = 90 GeV (long dashed line). where aℓ = 5% and bℓ = 0.55% for leptons, while aj = 100% and bj = 5% for jets [31]. In order to construct efficient cuts to further reduce the background we have simulated the signal for M1 = 90 GeV, 100 GeV, 110 GeV and 120 GeV using center of mass energies of 8 TeV and 14 TeV. We show the corresponding normalized differential cross…
Figure 5. Reconstructed normalized distributions 1 σ dσ dmjjl vs. the total invariant mass mjjl. See
Figure 6. Reconstructed normalized distributions 1 σ dσ dmjj vs. the invariant mass of the jets mjj . See
Figure 7. Reconstructed normalized distributions 1 σ dσ dmT vs. the transverse mass mT . See
Figure 8. Sensitivity of the LHC to the coupling y vs M1 at 3σ (continuous line) and 5σ (dashed line) and an integrated luminosity L = 1 fb−1 (thin line) and L = 10 fb−1 (thick line), for inverted hierarchy (upper panels) and normal hierarchy (lower panels) and for √ s = 8 TeV (left panels) and √ s = 14 TeV (right panels). The shaded region is excluded by the current experimental upper limit BR(µ → eγ) ≤ 2.4 × 10−12 [9]. form a pseudo-Dirac particle, NP D = (N1 + iN2)/ √ 2, with M2 = M1(1 + z), z ≪ 1. As was shown in [5], the type I see-saw scenario of interest is characterized by four real

Figures reproduced from arXiv:1208.3654 by the authors.

References
How the literature uses it

47 arXiv papers cite this in 59 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 · 46 sentences without a confident label

Uses its method or tool 2 papers
Uses its data or values 1 paper
Compares with it 2 papers
Cites it as background 8 papers

What it cites · 25 sentences without a confident label

Uses the method or tool of 1 paper
  • We have simulated with Madgraph [ref] the process of production of a Higgs boson at the LHC, which decays $h→νN$.

    MadGraph 5 : Going Beyond · Searches for the New Channel $h→νN$ at LHC · 1.00

Uses data or values from 5 papers
Cites as background 7 papers

Discussion

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