Resolving an ambiguity of Higgs couplings in the FSM, greatly improving thereby the model's predictive range and prospects

TL;DR

This paper demonstrates that resolving a Higgs coupling ambiguity in the FSM aligns its effective action closely with the Standard Model, with minor modifications explaining recent experimental anomalies.

Contribution

The work clarifies Higgs coupling ambiguity in the FSM, showing it reproduces SM results with additional terms accounting for observed anomalies.

Findings

FSM matches SM predictions within experimental accuracy

Additional mixing terms explain W mass and g-2 anomalies

FSM provides a unified framework for standard and hidden sector interactions

Abstract

We show that, after resolving what was thought to be an ambiguity in the Higgs coupling, the FSM gives, apart from two extra terms (i) and (ii) to be specified below, an effective action in the standard sector which has the same form as the SM action, the two differing only in the values of the mass and mixing parameters of quarks and leptons which the SM takes as inputs from experiment while the FSM obtains as a result of a fit with a few parameters. Hence, to the accuracy that these two sets of parameters agree in value, and they do to a good extent as shown in earlier work, the FSM should give the same result as the SM in all the circumstances wherethe latter has been successfully applied, except for the noted modifications due to (i) and (ii). If so, it would be a big step forward for the FSM. The correction terms are: (i) a mixing between the SM's $\gamma - Z$ with a new vector boson in the hidden sector, (ii) a mixing between the standard Higgs with a new scalar boson also in the hidden sector. And these have been shown a few years back to lead to (i$'$) an enhancement of the $W$ mass over the SM value \cite{zmixed}, and (ii$'$) effects consistent with the $g - 2$ and some other anomalies, precisely the two deviations from the SM reported by experiments \cite{Wmassnew,g-2new} recently much in the news.