Self-organized Higgs criticality

Eröncel, Cem; Rigo, Gabriele

doi:10.1007/jhep03(2019)046

Cited by 10 publications

(6 citation statements)

References 41 publications

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“…3. Finally, it is worth mentioning that a critical behavior can also arise without tuning the control parameters, as is the case of systems enjoying Self-Organized Criticality [90][91][92][93]. These are dissipative systems in an out-of-equilibrium regime with a slow driving force, like in the sandpile model [90] where sand grains are slowly added to an initial random distribution, allowing a part of them to sink and be lost.…”

Section: Jhep03(2023)236mentioning

confidence: 99%

Fermion masses, critical behavior and universality

Feruglio

2023

J. High Energ. Phys.

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We look for signals of critical behavior in the Yukawa sector. By reviewing a set of models for the fermion masses, we select those where a symmetry-breaking order parameter sits at a transition point between a disordered phase and an ordered one. Many models based on ordinary flavor symmetries are formulated in terms of small corrections to a symmetric limit, which can hardly be interpreted unambiguously as a sign of near-criticality. Different is the case of nonlinearly realized flavor symmetries when the system is always in the broken phase. By inspecting a large number of modular and CP invariant models of lepton masses, we find that most of them cluster around the fixed point τ = i, where the system enjoys enhanced symmetry. Since a priori all values of the modulus τ are equally acceptable to describe the fermion spectrum, we regard this preference as a hint of near-criticality. We analyze in detail these models in the vicinity of all fixed points, showing that only one possibility provides a good description of neutrino masses and mixing angles. Near the fixed points the models exhibit a universal behavior. Mass ratios and mixing angles scale with appropriate powers of the order parameter, independently of the details of the theory, a feature reminiscent of systems belonging to the same universality class in second-order phase transitions. The observations of this work are inspired by the role near-criticality might play in solving the naturalness problem and are motivated by the fascinating possibility that most of the free parameters of the Standard Model could find a common explanation.

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Section: Jhep03(2023)236mentioning

confidence: 99%

Fermion masses, critical behavior and universality

Feruglio

2023

J. High Energ. Phys.

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“…If the mass of Φ is z-dependent, for example, M 2 Φ L 2 = −4 − E(z), where E(z) slowly varies from negative to positive values as z increases, the mass of Φ will cross the BF bound at the position z = z UV at which E(z UV ) = 0. For example, we can consider E(z) = ln(z/z UV ) with 1 (for other cases, see [43]). This z-dependent mass for Φ can be easily achieved by promoting E(z) to a scalar R with a 5D potential…”

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confidence: 99%

Holographic conformal transition and light scalars

Pomarol

Pujolàs

Salas

2019

J. High Energ. Phys.

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We present an holographic approach to strongly-coupled theories close to the conformal to non-conformal transition, trying to understand the presence of light scalars as recent lattice simulations seem to suggest. We find that the dilaton is always the lightest resonance, although not parametrically lighter than the others. We provide a simple analytic formula for the dilaton mass that allows us to understand this behavior. The pattern of the meson mass spectrum, as we get close to the conformal transition, is found to be quite similar to that in lattice simulations. We provide further predictions from holography that can be checked in the future. These five-dimensional models can also implement new solutions to the hierarchy problem, having implications for searches at the LHC and cosmology.

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“…Nonetheless, recent years have seen several concrete proposals for something like self-organized criticality as an explanation of the weak scale. The first of these [192] involves the interplay between the Higgs field and a modulus field in a 5d Randall-Sundrum model, with the Higgs instability being connected via the modulus field to violation of the Breitenlohner-Freedman bound far from the UV boundary. 10 Subsequently, analogs of self-organized criticality were 9 To my knowledge, the first suggestion that self-organized criticality might be relevant to the electroweak hierarchy problem was made (ironically) by David B. Kaplan in his 1997 TASI lectures [191], while a more earnest suggestion appears in [2].…”

Section: Self-organized Criticalitymentioning

confidence: 99%