Non--trivial Fixed Point in Four Dimensional Scalar Field Theory and the Higgs Mass

TL;DR

This paper demonstrates the existence of a non-trivial scale-invariant scalar field theory in four dimensions using the large N limit and explores its implications for predicting the Higgs boson mass at 5.4 TeV.

Contribution

It introduces a scale-invariant scalar field theory in four dimensions and applies it to the Higgs sector, predicting a specific Higgs mass value.

Findings

Existence of a non-trivial scale-invariant action in four dimensions.

Prediction of the Higgs mass at approximately 5.4 TeV.

Potential implications for the standard model's scalar sector.

Abstract

We show, using the large $N$ limit, that there is a non--trivial scale invariant action for four dimensional scalar field theory. We investigate the possibility that the scalar sector of the standard model of particle physics has such a scale invariant action, with scale invariance being spontaneously broken by the vacuum expectation value of the scalar. This leads to a prediction for the mass of the lightest massive scalar particle (the Higgs particle) to be $5.4$ Tev.