# Asymptotically safe weak interactions

@article{Calmet2011AsymptoticallySW, title={Asymptotically safe weak interactions}, author={Xavier Calmet}, journal={Modern Physics Letters A}, year={2011}, volume={26}, pages={1571-1576} }

We emphasize that the electroweak interactions without a Higgs boson are very similar to quantum general relativity. The Higgs field could just be a dressing field and might not exist as a propagating particle. In that interpretation, the electroweak interactions without a Higgs boson could be renormalizable at the nonperturbative level because of a nontrivial fixed point. Tree-level unitarity in electroweak bosons scattering is restored by the running of the weak scale.

## 13 Citations

Grand Unification without Higgs Bosons

- Physics
- 2012

We discuss how a model for the electroweak interactions without a Higgs could be embedded into a grand unified theory. The requirement of a non-trivial fixed point in the SU(2) sector of the weak…

Asymptotically Safe Higgs Inflation

- Physics
- 2014

We construct a new inflation model in which the standard model Higgs boson couples minimally to gravity and acts as the inflaton. Our construction of Higgs inflation incorporates the standard model…

On weak interactions as short-distance manifestations of gravity

- Physics
- 2013

We conjecture that weak interactions are peculiar manifestations of quantum gravity at the Fermi scale, and that the Fermi constant is related to the Newtonian constant of gravitation.In this…

Asymptotic safety guaranteed

- Physics
- 2014

We study the ultraviolet behaviour of four-dimensional quantum field theories involving non-abelian gauge fields, fermions and scalars in the Veneziano limit. In a regime where asymptotic freedom is…

Unitary standard model from spontaneous dimensional reduction and weak boson scattering at the LHC

- Physics
- 2013

Spontaneous dimensional reduction (SDR) is a striking phenomenon predicted by a number of quantum gravity approaches which all indicate that the spacetime dimensions get reduced at high energies. In…

Running of Planck mass and Higgs VEV in holographic vs. 4-dimensional RG

- Physics
- 2012

We compute the scale dependence of the Planck mass and the Higgs VEV using two very different methods: a holographic procedure based on Einstein's equations in five dimensions, with scalar matter…

Running coupling in electroweak interactions of leptons from f(R)-gravity with torsion

- Physics
- 2012

The f(R)-gravitational theory with torsion is considered for one family of leptons; it is found that the torsion tensor gives rise to interactions having the structure of the weak forces, while the…

Asymptotic safety guaranteed

- Physics
- 2014

A bstractWe study the ultraviolet behaviour of four-dimensional quantum field theories involving non-abelian gauge fields, fermions and scalars in the Veneziano limit. In a regime where asymptotic…

Higgs critical exponents and conformal bootstrap in four dimensions

- Physics
- 2014

A bstractWe investigate relevant properties of composite operators emerging in non-supersymmetric, four-dimensional gauge-Yukawa theories with interacting conformal fixed points within a precise…

The lightest of black holes

- Physics
- 2014

In this paper, we consider general relativity in the large N limit, where N stands for the number of particles in the model. Studying the resummed graviton propagator in the linearized regime, we…

## References

SHOWING 1-10 OF 38 REFERENCES

Weak interactions at very high energies: The role of the Higgs-boson mass

- Physics
- 1977

We give an S -matrix-theoretic demonstration that if the Higgs-boson mass exceeds
M c = ( 8 π 2 / 3 G F ) 1 / 2 , parital-wave unitarity is not respected by the tree diagrams for two-body scattering…

Tasi 2009 lectures: The Higgs as a Composite Nambu-Goldstone Boson

- Physics
- 2010

This is an introduction to theories where the Higgs is a composite Nambu-Goldstone boson of a new strongly-interacting dynamics not much above the weak scale. A general discussion is presented based…

Strength of weak interactions at very high energies and the Higgs boson mass

- Physics
- 1977

It is shown that if the Higgs boson mass exceeds Mc=(8π23GF)12 partial-wave unitarity is not respected by the tree diagrams for two-body reactions of gauge bosons, and the weak interactions must…

Invisible Higgs boson, continuous mass fields, and unparticle Higgs mechanism

- Physics
- 2009

We explore the consequences of an electroweak symmetry breaking sector which exhibits approximately scale invariant dynamics -- i.e., nontrivial fixed point behavior, as in unparticle models. One can…

Scales of mass generation for quarks, leptons, and majorana neutrinos.

- PhysicsPhysical review letters
- 2005

This work places new upper limits on the scales of fermion mass generation, independent of the electroweak symmetry breaking scale, and finds that the strongest 2-->n limits fall in a narrow range, 3-170 TeV (with n=2-24), depending on the observed fermions.

Topological Aspects of Quantum Chromodynamics

- Physics
- 1998

Absolute confinement of its color charges is a natural property of gauge theories such as quantum chromodynamics. On the one hand, it can be attributed to the existence of color-magnetic monopoles, a…

Scales of fermion mass generation and electroweak symmetry breaking

- Physics
- 2005

The scale of mass generation for fermions (including neutrinos) and the scale for electroweak symmetry breaking (EWSB) can be bounded from above by the unitarity of scattering involving longitudinal…

Upper Bound on the Scale of Majorana-Neutrino Mass Generation

- Physics
- 2001

We derive a model-independent upper bound on the scale of Majorana-neutrino mass generation. The upper bound is , where v ≃246 GeV is the weak scale and mν is the Majorana-neutrino mass. For neutrino…

Recent Developments in Gauge Theories

- Physics
- 1980

Almost all theories of fundamental interactions are nowadays based on the gauge concept. Starting with the historical example of quantum electrodynamics, we have been led to the successful unified…