Perturbative gauge invariance: electroweak theory II
Andreas Aste, Michael D\"utsch, G\"unter Scharf
TL;DR
This paper extends a perturbative gauge invariance approach to the electroweak theory, accommodating multiple fermion generations and deriving the Higgs potential, resulting in a gauge-invariant massive gauge theory consistent with the standard model.
Contribution
It introduces a perturbative gauge invariance framework for electroweak theory with multiple fermion generations and derives the Higgs potential from gauge invariance conditions.
Findings
Fermionic couplings match the standard model.
Higgs potential is uniquely determined by gauge invariance.
The resulting theory is manifestly gauge invariant.
Abstract
A recent construction of the electroweak theory, based on perturbative quantum gauge invariance alone, is extended to the case of more generations of fermions with arbitrary mixing. The conditions implied by second order gauge invariance lead to an isolated solution for the fermionic couplings in agreement with the standard model. Third order gauge invariance determines the Higgs potential. The resulting massive gauge theory is manifestly gauge invariant, after construction.
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