Naturalness: A Snowmass White Paper

Craig, Nathaniel

doi:10.48550/arxiv.2205.05708

Cited by 6 publications

(11 citation statements)

References 165 publications

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“…For some combinations of observables, the average over 13 models of our sample is listed in eq. (4.16) 12 . The quoted error only illustrates the spread of the actual predictions for each combination and has no statistical meaning.…”

Section: Snow-plots In the Fundamental Domain Fmentioning

confidence: 99%

“…If we believe that a field theory description should remain valid at energy scales much larger than the electroweak scale, perhaps even up to the Planck scale M P , we have to explain the appearance of a tiny dimensionless parameter given by the Higgs VEV evaluated in units of M P . The Higgs quadratic coupling appears to be tuned to set the SM near the phase transition [8][9][10][11][12]. Why is the system near criticality?…”

Section: Introductionmentioning

confidence: 99%

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Fermion masses, critical behavior and universality

Feruglio¹

2023

Preprint

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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 nearcriticality. 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: Snow-plots In the Fundamental Domain Fmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Fermion masses, critical behavior and universality

Feruglio¹

2023

Preprint

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“…The mass corrections from Φ-loops correspond to the renormalizable interactions λ φ (φ † φ)(Φ † Φ) and λ ψ Φψψ contained in L int (η, ; Ṽµ , Φ) in (10). It is clear that mass shifts are δm…”

Section: Promoting Poincare-conserving Uv Cutoff To Higgs Fieldmentioning

confidence: 99%

“…In the post-Higgs era, alleviation of the UV sensitivity has become a much more perplexing problem [4][5][6][7] as because experiments at the LHC have detected no new particles at the weak scale [8,9]. In spite of various interesting mechanisms proposed so far [10], alleviation of the UV sensitivity is a thorny open problem and calls for a resolution.…”

mentioning

confidence: 99%

Gauge and Poincaré properties of the UV cutoff and UV completion in quantum field theory

Demir

2023

Phys. Rev. D

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The ultraviolet (UV) cutoff on a quantum field theory (QFT) can explicitly break or conserve the Poincare (translation) symmetry. And the very same cutoff can explicitly break or conserve the gauge symmetry. In the present work, we perform a systematic study of the UV cutoff in regard to its gauge and Poincare properties, and construct UV completions restoring the broken gauge symmetry. In the case of Poincare-conserving UV cutoff, we find that the gauge symmetry gets restored via the Higgs mechanism. In the case of Poincare-breaking UV cutoff, however, we find that the flat spacetime affine curvature takes the place of the Higgs field and, when taken to curved spacetime, gauge symmetry gets restored at the extremum of the metric-affine action. We also find that gravity emerges at the extremum if the QFT under concern consists of new particles beyond the known ones. The resulting emergent gravity plus renormalized QFT setup has the potential to reveal itself in various astrophysical, cosmological and collider phenomena.

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“…A generic model should include all terms respecting symmetries, and the coefficient of each term should take a generic value. This type of genericity is related to naturalness [162,163,164,165,166,167,168,169,170], meaning that there is no finetuning in parameters. It is also related to hierarchy problems [171,172,173,174], where a fine-tuning of cancellation between two large parameters gives a small parameter.…”

Section: Motivation From Non-generic Counterexamplesmentioning

confidence: 99%

Supersymmetry and R-symmetries in Wess-Zumino models: properties and model dataset construction

Sun¹

2022

Preprint

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The Nelson-Seiberg theorem and its extensions relate supersymmetry breaking and R-symmetries in Wess-Zumino models. But their applicability may be limited by previously found non-generic counterexamples. Constructing a dataset of R-symmetric Wess-Zumino models is useful for studying the occurrence of such counterexamples as well as other purposes. This work gives a pedagogical review on the basics of supersymmetry in (3+1)-dimensions, Wess-Zumino models and their supergravity extensions, the Nelson-Seiberg theorem and its extensions. We present a preliminary construction of the dataset of R-symmetric Wess-Zumino models with up to 5 chiral fields. Among 925 models in total, 20 of them with nongeneric R-charges are counterexamples to both the Nelson-Seiberg theorem and its extensions. Thus the dataset gives an estimation of the accuracy of the field counting method based on these theorems. More constructions and applications of the dataset are expected in future work.

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Naturalness: A Snowmass White Paper

Abstract: We assess the state of naturalness in high-energy physics and summarize recent approaches to the three major naturalness problems: the cosmological constant problem, the electroweak hierarchy problem, and the strong CP problem.

Cited by 6 publications

References 165 publications

Fermion masses, critical behavior and universality

Fermion masses, critical behavior and universality

Gauge and Poincaré properties of the UV cutoff and UV completion in quantum field theory

Supersymmetry and R-symmetries in Wess-Zumino models: properties and model dataset construction

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