# Higgs inflation in complex geometrical scalar-tensor theory of gravity

## TL;DR

This paper develops a Higgs inflation model within a complex geometrical scalar-tensor gravity framework, linking the Higgs field to the geometry of spacetime, and shows it aligns with observational data.

## Contribution

It introduces a novel Higgs inflation model based on complex Weyl-integrable geometry, connecting the Higgs field to the geometric structure of gravity.

## Key findings

- Achieves sufficient inflation with N=63 e-foldings.
- Predicts spectral index n_s≈0.9735 consistent with Planck data.
- Finds scalar-to-tensor ratio r≈0.01 compatible with observations.

## Abstract

We derive a Higgs inflationary model in the context of a complex geometrical scalar-tensor theory of gravity. In this model the Higgs inflaton scalar field has geometrical origin playing the role of the Weyl scalar field in the original non-riemannian background geometry. The energy scale enough to generate inflation from the Higgs energy scale is achieved due to the compatibility of the theory with its background complex Weyl-integrable geometry. We found that for a number of e-foldings $N=63$, a nearly scale invariant spectrum for the inflaton is obtained with an spectral index $n_s\simeq 0.9735$ and a scalar to tensor ratio $r\simeq 0.01$, which are in agreement with Planck observational data.