REVIEW
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.
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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
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
- 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.
The abstract, sentence by sentence
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
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| 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 was examined, and what was not
- arXiv listing abstract v2
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- P abstract
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Figures
Figures reproduced from arXiv:1208.3654 by the authors.
References
How the literature uses it
47 arXiv papers cite this in 59 sentences
Papers citing it · 46 sentences without a confident label
Uses its method or tool 2 papers
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In our study we also take into account current limits on invisible Higgs decays (relevant for $m_ν_s < M_H$), following the approach derived in [ref] .
Effective Majorana mass matrix from tau and pseudoscalar meson lepton number violating decays · Constraints on sterile fermions · 0.95
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In our study we also take into account current limits on invisible Higgs decays (relevant for $m_ν_s < M_H$), following the approach derived in [ref] .
In-flight cLFV conversion: $e-\mu$, $e-\tau$ and $\mu-\tau$ in minimal extensions of the Standard Model with sterile fermions · Constraints on sterile fermions · 0.90
Uses its data or values 1 paper
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LHC data on invisible Higgs decays already allows to constrain regimes where the sterile states are below the Higgs mass; in our study we apply the constraints derived in [ref] .
Impact of sterile neutrinos on nuclear-assisted cLFV processes · Constraints on sterile fermions · 0.81
Compares with it 2 papers
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[ref] and [ref] , where the event signature has been analysed more carefully.
Testing sterile neutrino extensions of the Standard Model at future lepton colliders · Higgs boson decays at the LHC · 0.94
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The phenomenology of the Higgs decays $h→ν_ℓL N_k$ in the model considered in the present article is similar to that of the same decay investigated in detail in [ref] in the model discussed in [ref] .
Low-Scale Seesaw and the CP Violation in Neutrino Oscillations · LFV Observables and Higgs Decays · 0.86
Cites it as background 8 papers
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Attempts to probe it have been carried out for both prompt [ref] and long-lived heavy neutrinos [ref] .
Bounding the Dimension-5 Seesaw Portal with Non-Pointing Photon Searches · Introduction · 0.91
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Detailed analyses of the parameter space and of various constraints can be found e.g. in Refs. [ref] .
Fermionic extensions of the Standard Model in light of the Higgs couplings · Majorana leptons · 0.90
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For discussions on this topic, see, for example, Refs. [ref] .
Natural quark mixing and inverse seesaw in a left-right model with an axion · Lepton flavour violation and heavy neutrino constraints · 0.89
What it cites · 25 sentences without a confident label
Uses the method or tool of 1 paper
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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
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We also show the excluded region (grey area) by the results of i) the search for the $μ→eγ$ decay with the MEG experiment [ref] , ii) the search for $μ-e$ conversion in Ti [ref] and iii) the search for heavy singlet neutrinos in $Z$ boson decays at LEP2 [ref] .
New limit on the lepton-flavour violating decay mu -> e gamma · New Higgs Decay Channels · 0.80
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Taking the best fit values of the neutrino oscillation parameters [ref] , we get the upper limits: [equation] These upper limits are roughly of the same order as the bottom Yukawa coupling, $y_b=m_b/v≃0.024$.
Global status of neutrino oscillation parameters after Neutrino-2012 · Preliminary Remarks · 0.99
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where $a_ℓ= 5%$ and $b_ℓ= 0.55%$ for leptons, while $a_j = 100%$ and $b_j = 5%$ for jets [ref] .
Expected Performance of the ATLAS Experiment - Detector, Trigger and Physics · Searches for the New Channel $h→νN$ at LHC · 0.99
Cites as background 7 papers
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In the following we consider the TeV scale type I see-saw scenarios with two RH neutrinos discussed in [ref] .[Type I see-saw scenarios with two heavy Majorana neutrinos having masses by few to several orders of magnitude below the GUT scale of $∼2×10^16$ GeV have been discussed, e.g., in [ref] .]
The See-Saw Mechanism, Neutrino Yukawa Couplings, LFV Decays l_i to l_j + gamma and Leptogenesis · Preliminary Remarks · 0.81
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In the following we consider the TeV scale type I see-saw scenarios with two RH neutrinos discussed in [ref] .[Type I see-saw scenarios with two heavy Majorana neutrinos having masses by few to several orders of magnitude below the GUT scale of $∼2×10^16$ GeV have been discussed, e.g., in [ref] .]
TeV Scale See-Saw Mechanisms of Neutrino Mass Generation, the Majorana Nature of the Heavy Singlet Neutrinos and $\betabeta$-Decay · Preliminary Remarks · 0.81
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In the following we consider the TeV scale type I see-saw scenarios with two RH neutrinos discussed in [ref] .[Type I see-saw scenarios with two heavy Majorana neutrinos having masses by few to several orders of magnitude below the GUT scale of $∼2×10^16$ GeV have been discussed, e.g., in [ref] .]
Low Energy Signatures of the TeV Scale See-Saw Mechanism · Preliminary Remarks · 0.81
Discussion
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