Journal of High Energy Physics

, 2015:137 | Cite as

Softened gravity and the extension of the standard model up to infinite energy

  • Gian F. Giudice
  • Gino Isidori
  • Alberto Salvio
  • Alessandro Strumia
Open Access
Regular Article - Theoretical Physics


Attempts to solve naturalness by having the weak scale as the only breaking of classical scale invariance have to deal with two severe difficulties: gravity and the absence of Landau poles. We show that solutions to the first problem require premature modifications of gravity at scales no larger than 1011 GeV, while the second problem calls for many new particles at the weak scale. To build models that fulfill these properties, we classify 4- dimensional Quantum Field Theories that satisfy Total Asymptotic Freedom (TAF): the theory holds up to infinite energy, where all coupling constants flow to zero. We develop a technique to identify such theories and determine their low-energy predictions. Since the Standard Model turns out to be asymptotically free only under the unphysical conditions g 1 = 0, M t = 186 GeV, M τ = 0, M h = 163 GeV, we explore some of its weak-scale extensions that satisfy the requirements for TAF.


Higgs Physics Beyond Standard Model Renormalization Group Standard Model 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2015

Authors and Affiliations

  • Gian F. Giudice
    • 1
  • Gino Isidori
    • 2
    • 3
  • Alberto Salvio
    • 4
  • Alessandro Strumia
    • 5
    • 6
  1. 1.CERN, Theory DivisionGeneva 23Switzerland
  2. 2.Physik-InstitutUniversität ZürichZürichSwitzerland
  3. 3.INFN, Laboratori Nazionali di FrascatiFrascatiItaly
  4. 4.Departamento de Física TeóricaUniversidad Autónoma de Madrid and Instituto de Física Teórica IFT-UAM/CSICMadridSpain
  5. 5.INFN — Sezione di Pisa e Dipartimento di Fisica dell’Università di PisaPisaItaly
  6. 6.National Institute of Chemical Physics and BiophysicsTallinnEstonia

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