# Fermionic spectral action and the origin of nonzero neutrino masses

## TL;DR

This paper explores the fermionic spectral action within noncommutative geometry, proposing it as spectral and analyzing its asymptotic expansion to understand its implications for the Standard Model.

## Contribution

It introduces a spectral formulation for the fermionic action in noncommutative geometry, extending the spectral approach beyond the bosonic sector.

## Key findings

- Identification of fermionic spectral action terms
- Analysis of asymptotic expansion of the fermionic spectral action
- Implications for the origin of neutrino masses

## Abstract

We propose that the fermionic part of the action in the framework of the noncommutative description of the Standard Model is spectral, in an analogous way to the bosonic part of the action that is customary considered as being spectral. We then discuss the terms that appear in the asymptotic expansion of the fermionic spectral action.