Asymptotically safe weak interactions

Abstract

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 non-perturbative level because of a non-trivial fixed point. Tree-level unitarity in electroweak bosons scattering is restored by the running of the weak scale.

7 pages

References in corpus (12)

• Tasi 2009 lectures: The Higgs as a Composite Nambu-Goldstone Boson
• Scales of Fermion Mass Generation and Electroweak Symmetry Breaking
• Collider Signals of Gravitational Fixed Points
• One loop beta functions and fixed points in Higher Derivative Sigma Models
• Scale of fermion mass generation
• Upper bound on the scale of Majorana-neutrino mass generation
• Asymptotic safety and the gauged SU(N) nonlinear sigma-model
• Ultraviolet Complete Electroweak Model Without a Higgs Particle
• Scales of Mass Generation for Quarks, Leptons and Majorana Neutrinos
• Invisible Higgs boson, continuous mass fields and unHiggs mechanism
• The running of coupling constants and unitarity in a finite electroweak model
• Asymptotic safety in gravity and sigma models

Cited by in corpus (12)

• Asymptotic safety guaranteed
• Renormalisation group and the Planck scale
• On weak interactions as short-distance manifestations of gravity
• The Lightest of Black Holes
• A short introduction to asymptotic safety
• Inflation from Asymptotically Safe Theories
• Asymptotically Safe Higgs Inflation
• Running coupling in electroweak interactions of leptons from f(R)-gravity with torsion
• Unitary Standard Model from Spontaneous Dimensional Reduction and Weak Boson Scattering at the LHC
• Unitarity In An Alternative Electroweak Theory
• Grand Unification without Higgs Bosons
• The Dual Standard Model and the 750 GeV Events at the LHC