N-Relaxion: Large Field Excursions from a Few Site Relaxion Model

Camila S. Machado; Leonardo de Lima; Nayara Fonseca; Ricardo D. Matheus

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N-Relaxion: Large Field Excursions from a Few Site Relaxion Model

Nayara Fonseca, Leonardo de Lima, Camila S. Machado, Ricardo D. Matheus

High Energy Physics - Phenomenology · Submitted 26 Jan 2016

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We propose an N-site model which naturally generates the large decay constant needed to address these issues.

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arXiv ID1601.07183 (version 2)

Pith IDJRSPCYM4, Pith's permanent record of this paper and its review

CitationCamila S. Machado, Leonardo de Lima, Nayara Fonseca, Ricardo D. Matheus. "N-Relaxion: Large Field Excursions from a Few Site Relaxion Model." arXiv:1601.07183 (2016). https://pith.science/paper/JRSPCYM4

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What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.12 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.87 · mentions code or data availability 0.02.

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Relaxion models are an interesting new avenue to explain the radiative stability of the Standard Model scalar sector. They require very large field excursions, which are difficult to generate in a consistent UV completion and to reconcile with the compact field space of the relaxion. We propose an N-site model which naturally generates the large decay constant needed to address these issues. Our model offers distinct advantages with respect to previous proposals: the construction involves non-abelian fields, allowing for controlled high energy behaviour and more model building possibilities, both in particle physics and inflationary models, and also admits a continuum limit when the number of sites is large, which may be interpreted as a warped extra dimension.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Relaxion models are an interesting new avenue to explain the radiative stability of the Standard Model scalar sector.	background 1.00	0.05	0.04	asserted 0.96
s1	They require very large field excursions, which are difficult to generate in a consistent UV completion and to reconcile with the compact field space of the relaxion.	background 0.86	0.05	0.03	asserted 1.00
s2	We propose an N-site model which naturally generates the large decay constant needed to address these issues.	contribution 0.98	0.91	0.66	asserted 0.99
s3	Our model offers distinct advantages with respect to previous proposals: the construction involves non-abelian fields, allowing for controlled high energy behaviour and more model building possibilities, both in particle physics and inflationary models, and also admits a continuum limit when the number of sites is large, which may be interpreted as a warped extra dimension.	contribution 0.78	0.76	0.34	asserted 0.57

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from argument 0.51.

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The paper

Original abstract

Relaxion models are an interesting new avenue to explain the radiative stability of the Standard Model scalar sector. They require very large field excursions, which are difficult to generate in a consistent UV completion and to reconcile with the compact field space of the relaxion. We propose an N-site model which naturally generates the large decay constant needed to address these issues. Our model offers distinct advantages with respect to previous proposals: the construction involves non-abelian fields, allowing for controlled high energy behaviour and more model building possibilities, both in particle physics and inflationary models, and also admits a continuum limit when the number of sites is large, which may be interpreted as a warped extra dimension.

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References

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Probing photophobic (rel)axion dark matter
hep-ph 2020-09 conditional novelty 6.0 of 10

A photophobic relaxion with mass 3.0 keV and electron coupling 6.8e-14 can explain the XENON1T electron recoil excess, the dark matter relic density, and astrophysical constraints simultaneously.
Relaxation from particle production
hep-ph 2016-07 conditional novelty 6.0 of 10

Particle production from an axion-like coupling to weak gauge bosons can supply the friction that stops the relaxion at the observed Higgs mass, removing the need for large field excursions or a long inflationary epoch.
The Weak Gravity Conjecture in three dimensions
hep-th 2016-06 accept novelty 5.0 of 10

Modular invariance of the holographic dual CFT, combined with a compact gauge group, forces charged operators below the black hole threshold in AdS3, realizing the Weak Gravity Conjecture in three dimensions.

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22 arXiv papers cite this in 26 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

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Compares with it 1 paper

In our construction, the decay constants are generated through dimensional transmutation such that an exponentially enhanced ratio $f_1/f_2$ can be generated without tuning charges as in alignment models [ref] or using a large number of axion fields [ref] such as in clockwork models [ref] or the $N$-relaxion [ref] .

The Super-Planckian Axion Strikes Back · Super-Planckian Decay Constants from CFTs/Throats · 0.83

Cites it as background 17 papers

A radically new idea that attempts to address the electroweak hierarchy problem via a dynamical relaxation mechanism [ref] was recently proposed in Ref. [ref] (see also Refs. [ref] for related work).

Naturalizing Supersymmetry with a Two-Field Relaxion Mechanism · Introduction · 0.97
Recently cosmological relaxation of the Higgs boson mass has been proposed as a new solution to the weak scale hierarchy problem [ref] , leading to a number of subsequent works to explore its viability [ref] [For a similar earlier idea, see Ref. [ref] .].

Constraints on Relaxion Windows · Introduction · 1.00
Throughout, we will make use of ingredients that are very familiar from previous work on weak-scale relaxation [See Refs. [ref] for some examples of recent studies of relaxation.]; however, as advertised, the underlying cosmological story is distinct.

A Dynamical Weak Scale from Inflation · Introduction · 0.95

What it cites · 36 sentences without a confident label

Uses the method or tool of 1 paper

One possible solution is to adopt the double scanner mechanism of [ref] , that is, we may add a scalar singlet to control the amplitude of the additional term.

Cosmological Higgs-Axion Interplay for a Naturally Small Electroweak Scale · Higgs-Axion Interplay · 0.82

Compares with 4 papers

The present model has some distinctive features when compared with previous many-field models that also address the points above [ref] : * The $N$ fields are bi-fundamentals of $2N$ non-abelian $SU(2)$ groups and the formalism employed can be trivially generalized to any non-abelian group.

A Clockwork Axion · Discussion · 1.00
The present model has some distinctive features when compared with previous many-field models that also address the points above [ref] : * The $N$ fields are bi-fundamentals of $2N$ non-abelian $SU(2)$ groups and the formalism employed can be trivially generalized to any non-abelian group.

Realizing the relaxion from multiple axions and its UV completion with high scale supersymmetry · Discussion · 1.00
The parametrization $g_j →q^j$, with $0<q<1$, results in a mass matrix for the pNGBs that is identical to the one obtained for a pNGB Wilson line (zero mode) in the deconstruction of $AdS_5$ [ref] (see Appendix [ref])

Fermion Resonances in Quiver Theories with a pNGB Higgs · Minimal Model · 0.85

Cites as background 7 papers

As an illustration, consider the relaxion model [ref] :

Cosmological Relaxation of the Electroweak Scale · Introduction · 0.96
As an illustration, consider the relaxion model [ref] :

Cosmological Higgs-Axion Interplay for a Naturally Small Electroweak Scale · Introduction · 0.96
A concern arising when gravity is included in the UV theory is the Weak Gravity Conjecture (WGC) [ref] , which limits how small the coupling constants in gauge theories may be.

The String Landscape, Black Holes and Gravity as the Weakest Force · Introduction · 0.97

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