Directions for model building from asymptotic safety

Bond, Andrew D.; Hiller, Gudrun; Kowalska, Kamila; Litim, Daniel F.

doi:10.1007/jhep08(2017)004

Cited by 82 publications

(155 citation statements)

References 42 publications

(147 reference statements)

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“…As the canonical dimensions of u, v are 4 − d, this result can again be read as an effective dimensional increase induced by metric fluctuations. For the couplings 18) this implies exactly the same gravity contribution. Stability of the potential is given if…”

Section: Next-to-next-to Leading Ordermentioning

confidence: 74%

“…The corresponding models feature similar building blocks to the Standard Model. Thus, the asymptotic-safety paradigm could potentially play a role in beyond-Standard-Model physics at scales below the Planck scale [17,18], with possible consequences for phenomenological questions [19][20][21][22]. On the other hand, there are compelling hints for asymptotic safety of gravity without [23] and with [24] matter beyond the Planck scale, for reviews, see [25].…”

Section: Introductionmentioning

confidence: 99%

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Is scale-invariance in gauge-Yukawa systems compatible with the graviton?

2017

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We explore whether perturbative interacting fixed points in matter systems can persist under the impact of quantum gravity. We first focus on semi-simple gauge theories and show that the leading order gravity contribution evaluated within the functional Renormalization Group framework preserves the perturbative fixedpoint structure in these models discovered in [1]. We highlight that the quantumgravity contribution alters the scaling dimension of the gauge coupling, such that the system exhibits an effective dimensional reduction. We secondly explore the effect of metric fluctuations on asymptotically safe gauge-Yukawa systems which feature an asymptotically safe fixed point [2]. The same effective dimensional reduction that takes effect in pure gauge theories also impacts gauge-Yukawa systems. There, it appears to lead to a split of the degenerate free fixed point into an interacting infrared attractive fixed point and a partially ultraviolet attractive free fixed point. The quantum-gravity induced infrared fixed point moves towards the asymptotically safe fixed point of the matter system, and annihilates it at a critical value of the gravity coupling. Even after that fixed-point annihilation, graviton effects leave behind new partially interacting fixed points for the matter sector.

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Section: Next-to-next-to Leading Ordermentioning

confidence: 74%

Section: Introductionmentioning

confidence: 99%

Is scale-invariance in gauge-Yukawa systems compatible with the graviton?

2017

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“…In this paper we offer one possible such alternative explanation based on [25]; another possibility which bears some resemblance to the present scheme as far as physics up to M PL is concerned (but not beyond) is to invoke asymptotic safety, see e.g. [13,26,27].…”

Section: Introductionmentioning

confidence: 81%

“…The treelevel contributions to the decay widths in the formulas above follow immediately from the vertices in Eqs. (27) and (23)- (24), 11 while nonzero contributions to ε ji originate from the interference between these tree-level vertices and loop diagrams describing the correction to proper vertices and external lines [65]. Generically, both kinds of corrections are of the same order [65], and are way too small to ensure a successful leptogenesis for Y ν having the 8 In the following we adopt the convention that primed quantities refer to the pure SM, while unprimed letters refer to the CSM with its enlarged set of fields.…”

Section: A Cp Violationmentioning

confidence: 99%

“…11 Here we can neglect the light neutrino masses in very good approximation. Thus the field P L ψ ν ≃ ν α in (27) annihilates neutrinos ν and creates antineutrinosν, while P R ψ ν ≃ν̇α does the opposite, see also the appendix for an explicit description of the neutrino operators in the SLð2; CÞ basis. matrix elements of the order of 10 −6 .…”

Section: A Cp Violationmentioning

confidence: 99%

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Conformal standard model, leptogenesis, and dark matter

2018

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The conformal standard model is a minimal extension of the Standard Model (SM) of particle physics based on the assumed absence of large intermediate scales between the TeV scale and the Planck scale, which incorporates only right-chiral neutrinos and a new complex scalar in addition to the usual SM degrees of freedom, but no other features such as supersymmetric partners. In this paper, we present a comprehensive quantitative analysis of this model, and show that all outstanding issues of particle physics proper can in principle be solved "in one go" within this framework. This includes in particular the stabilization of the electroweak scale, "minimal" leptogenesis and the explanation of dark matter, with a small mass and very weakly interacting Majoron as the dark matter candidate (for which we propose to use the name "minoron"). The main testable prediction of the model is a new and almost sterile scalar boson that would manifest itself as a narrow resonance in the TeV region. We give a representative range of parameter values consistent with our assumptions and with observation.

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Real scalar phase transitions: a nonperturbative analysis

Gould

2021

J. High Energ. Phys.

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We study the thermal phase transitions of a generic real scalar field, without a Z2-symmetry, referred to variously as an inert, sterile or singlet scalar, or ϕ3 + ϕ4 theory. Such a scalar field arises in a wide range of models, including as the inflaton, or as a portal to the dark sector. At high temperatures, we perform dimensional reduction, matching to an effective theory in three dimensions, which we then study both perturbatively to three-loop order and on the lattice. For strong first-order transitions, with large tree-level cubic couplings, our lattice Monte-Carlo simulations agree with perturbation theory within error. However, as the size of the cubic coupling decreases, relative to the quartic coupling, perturbation theory becomes less and less reliable, breaking down completely in the approach to the Z2-symmetric limit, in which the transition is of second order. Notwithstanding, the renormalisation group is shown to significantly extend the validity of perturbation theory. Throughout, our calculations are made as explicit as possible so that this article may serve as a guide for similar calculations in other theories.

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Directions for model building from asymptotic safety

Cited by 82 publications

References 42 publications

Is scale-invariance in gauge-Yukawa systems compatible with the graviton?

Is scale-invariance in gauge-Yukawa systems compatible with the graviton?

Conformal standard model, leptogenesis, and dark matter

Real scalar phase transitions: a nonperturbative analysis

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