# Implications of the complex Singlet field for Noncommutative Geometry model

## TL;DR

This paper explores how a complex singlet scalar field within the spectral action framework can influence the standard model, affecting Higgs and top quark masses, vacuum stability, and gauge coupling deviations.

## Contribution

It introduces the effects of a complex singlet scalar in the spectral action approach, analyzing its impact on particle masses and gauge couplings at the two-loop level.

## Key findings

- Identifies a parameter range at unification scale compatible with observed Higgs and top masses.
- Shows the complex singlet can improve vacuum stability.
- Compares gauge coupling deviations with real singlet and standard model.

## Abstract

We consider a complex singlet scalar in the spectral action approach to the standard model. It is shown that there is a range of initial values at the unification scale which is able to produce Higgs and top quark masses at low energies. The stability of the vacuum and the deviation of gauge couplings from experimental values are discussed and compared at the two-loop level with a real scalar singlet and the pure standard model.