The Higgs mass and the scale of new physics

Eichhorn, Astrid; Gies, Holger; Jaeckel, Joerg; Plehn, Tilman; Scherer, Michael M.; Sondenheimer, René

doi:10.1007/jhep04(2015)022

Cited by 67 publications

(92 citation statements)

References 110 publications

(180 reference statements)

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“…In practice, this suggests to compute the IR flow approximately in terms of a simple polynomial expansion of the potential. In fact, the reliability of such an expansion for a description of Fermi scale observables has been verified for a variety of standard-modellike (gauged)-Higgs-Yukawa models in [86][87][88][89][90].…”

Section: Ir Flows and Mass Spectrummentioning

confidence: 97%

Non-Abelian Higgs models: Paving the way for asymptotic freedom

Gies¹,

Zambelli²

2017

Phys. Rev. D

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Asymptotically free renormalization group trajectories can be constructed in nonabelian Higgs models with the aid of generalized boundary conditions imposed on the renormalized action. We detail this construction within the languages of simple low-order perturbation theory, effective field theory, as well as modern functional renormalization group equations. We construct a family of explicit scaling solutions using a controlled weak-coupling expansion in the ultraviolet, and obtain a standard Wilsonian RG relevance classification of perturbations about scaling solutions. We obtain global information about the quasi-fixed function for the scalar potential by means of analytic asymptotic expansions and numerical shooting methods. Further analytical evidence for such asymptotically free theories is provided in the large-N limit. We estimate the long-range properties of these theories, and identify initial/boundary conditions giving rise to a conventional Higgs phase.

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Section: Ir Flows and Mass Spectrummentioning

confidence: 97%

Non-Abelian Higgs models: Paving the way for asymptotic freedom

Gies¹,

Zambelli²

2017

Phys. Rev. D

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“…Further motivation to study the RG flow of the model stems from the compatibility of the observed Higgs mass with vacuum stability: within the Standard Model, the Higgs quartic coupling must be negative at the Planck scale -at least for the central value of the measured top mass -in order to accommodate a Higgs mass of 125 GeV [31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46]. Additional degrees of freedom that couple to the Higgs can impact the running of its potential and thereby either increase or reduce the tension between a vanishing quartic Higgs coupling at the Planck scale and the measured Higgs mass.…”

Section: Jhep08(2018)147mentioning

confidence: 99%

“…In particular, it is of interest to explore the impact of fermionic fluctuations on the Higgs potential. Fermions which are coupled to the Higgs through a standard Yukawa interaction of the formψψH + h.c. lead to a lower bound on the Higgs mass if the condition of vacuum stability is imposed [31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46]: this is a consequence of a negative fermionic contribution to the beta function for the Higgs quartic coupling. Starting with a vanishing Higgs quartic coupling at an UV scale Λ, this term leads to a growth of λ 4 towards the infrared.…”

Section: Renormalization Group Flow In the Higgs Portal To Fermionic mentioning

confidence: 99%

Asymptotic safety in the dark

Eichhorn¹,

Held²,

Griend

2018

J. High Energ. Phys.

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We explore the Renormalization Group flow of massive uncharged fermions -a candidate for dark matter -coupled to a scalar field through a Higgs portal. We find that fermionic fluctuations can lower the bound on the scalar mass that arises from vacuum stability. Further, we discuss that despite the perturbative nonrenormalizability of the model, it could be ultraviolet complete at an asymptotically safe fixed point. In our approximation, this simple model exhibits two mechanisms for asymptotic safety: a balance of fermionic and bosonic fluctuations generates a fixed point in the scalar self-interaction; asymptotic safety in the portal coupling is triggered through a balance of canonical scaling and quantum fluctuations. As a consequence of asymptotic safety in the dark sector, the low-energy value of the portal coupling could become a function of the dark fermion mass and the scalar mass, thereby reducing the viable parameter space of the model.

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“…Fundamental aspects related to the inclusion of fermions have been discussed in [50,51] and the compatibility of light chiral fermions with asymptotic safety has been argued in [52][53][54]. Starting from the prediction of the Higgs mass based on Asymptotic Safety [55], mass hierarchies in the standard model and its extensions have been studied in [56][57][58] while the influence of gravitational interactions on the flow of Yukawa-couplings has been studied in [59][60][61][62][63][64]. 2 Based on these works there have been several key insights related to asymptotically safe gravity-matter systems.…”

Section: Jhep12(2017)121mentioning

confidence: 99%

On avoiding Ostrogradski instabilities within Asymptotic Safety

Becker

Ripken

Saueressig

2017

J. High Energ. Phys.

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We study the renormalization group flow of gravity coupled to scalar matter using functional renormalization group techniques. The novel feature is the inclusion of higher-derivative terms in the scalar propagator. Such terms give rise to Ostrogradski ghosts which signal an instability of the system and are therefore dangerous for the consistency of the theory. Since it is expected that such terms are generated dynamically by the renormalization group flow they provide a potential threat when constructing a theory of quantum gravity based on Asymptotic Safety. Our work then establishes the following picture: upon incorporating higher-derivative terms in the scalar propagator the flow of the gravity-matter system possesses a fixed point structure suitable for Asymptotic Safety. This structure includes an interacting renormalization group fixed point where the Ostrogradski ghosts acquire an infinite mass and decouple from the system. Tracing the flow towards the infrared it is found that there is a subset of complete renormalization group trajectories which lead to stable renormalized propagators. This subset is in one-to-one correspondence to the complete renormalization group trajectories obtained in computations which do not keep track of the higher-derivative terms. Thus our asymptotically safe gravity-matter systems are not haunted by Ostrogradski ghosts.

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The Higgs mass and the scale of new physics

Cited by 67 publications

References 110 publications

Non-Abelian Higgs models: Paving the way for asymptotic freedom

Non-Abelian Higgs models: Paving the way for asymptotic freedom

Asymptotic safety in the dark

On avoiding Ostrogradski instabilities within Asymptotic Safety

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