Asymptotically free four-fermion interactions and electroweak symmetry breaking

Abstract

We investigate the fermions of the standard model without a Higgs scalar. Instead, we consider a non-local four-quark interaction in the tensor channel which is characterized by a single dimensionless coupling $f$. Quantization leads to a consistent perturbative expansion for small $f$. The running of $f$ is asymptotically free and therefore induces a non-perturbative scale ${\Lambda }_{ch}$, in analogy to the strong interactions. We argue that spontaneous electroweak symmetry breaking is triggered at a scale where $f$ grows large and find the top quark mass of the order of ${\Lambda }_{ch}$. We also present a first estimate of the effective Yukawa coupling of a composite Higgs scalar to the top quark, as well as the associated mass ratio between the top quark and the W boson.

24 pages

References in corpus (7)

• Exact evolution equation for the effective potential
• The Three Site Model at One-Loop
• Chiral freedom and electroweak symmetry breaking
• Quantization of chiral antisymmetric tensor fields
• Chiral freedom and the scale of weak interactions
• Chiral tensor fields and spontaneous breaking of Lorentz symmetry
• Light fermion masses and chiral freedom

Cited by in corpus (4)

• Fermions and Goldstone bosons in an asymptotically safe model
• Top-quark and neutrino composite Higgs bosons
• An asymptotic-safety mechanism for chiral Yukawa systems
• Heavy-quark mass relation from a standard-model boson operator representation in terms of fermions