Higgs-like inflation in scalar-torsion $f(T,ϕ)$ gravity in light of ACT-SPT-DESI constraints

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Main Authors: Kumar, Nitesh, Otalora, Giovanni, Reyes, Rodrigo, Espinoza, Bastian, Gonzalez-Espinoza, Manuel, Saridakis, Emmanuel N.
Format: Preprint
Published: 2025
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author Kumar, Nitesh
Otalora, Giovanni
Reyes, Rodrigo
Espinoza, Bastian
Gonzalez-Espinoza, Manuel
Saridakis, Emmanuel N.
author_facet Kumar, Nitesh
Otalora, Giovanni
Reyes, Rodrigo
Espinoza, Bastian
Gonzalez-Espinoza, Manuel
Saridakis, Emmanuel N.
contents We study Higgs-like inflation in the framework of scalar-torsion gravity, focusing on the general class of $f(T,ϕ)$ theories in which gravitation is mediated by torsion rather than curvature. Motivated by the increasing precision of cosmic microwave background and large-scale-structure observations, we examine whether Higgs-like inflation remains compatible with current data in this extended gravitational setting. Working within the slow-roll approximation, we analyze the inflationary dynamics both analytically and numerically. In the dominant-coupling regime we derive closed-form expressions for the scalar spectral index and the tensor-to-scalar ratio as functions of the number of e-folds, and we subsequently relax this assumption by numerically solving the slow-roll equations. Confrontation with the latest constraints from Planck 2018, ACT DR6, DESI DR1, and BICEP/Keck shows that Higgs-like inflation in $f(T,ϕ)$ gravity is fully consistent with current bounds, naturally accommodating the preferred shift in the scalar spectral index and leading to distinctive tensor-sector signatures.
format Preprint
id arxiv_https___arxiv_org_abs_2512_24502
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Higgs-like inflation in scalar-torsion $f(T,ϕ)$ gravity in light of ACT-SPT-DESI constraints
Kumar, Nitesh
Otalora, Giovanni
Reyes, Rodrigo
Espinoza, Bastian
Gonzalez-Espinoza, Manuel
Saridakis, Emmanuel N.
General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Phenomenology
High Energy Physics - Theory
We study Higgs-like inflation in the framework of scalar-torsion gravity, focusing on the general class of $f(T,ϕ)$ theories in which gravitation is mediated by torsion rather than curvature. Motivated by the increasing precision of cosmic microwave background and large-scale-structure observations, we examine whether Higgs-like inflation remains compatible with current data in this extended gravitational setting. Working within the slow-roll approximation, we analyze the inflationary dynamics both analytically and numerically. In the dominant-coupling regime we derive closed-form expressions for the scalar spectral index and the tensor-to-scalar ratio as functions of the number of e-folds, and we subsequently relax this assumption by numerically solving the slow-roll equations. Confrontation with the latest constraints from Planck 2018, ACT DR6, DESI DR1, and BICEP/Keck shows that Higgs-like inflation in $f(T,ϕ)$ gravity is fully consistent with current bounds, naturally accommodating the preferred shift in the scalar spectral index and leading to distinctive tensor-sector signatures.
title Higgs-like inflation in scalar-torsion $f(T,ϕ)$ gravity in light of ACT-SPT-DESI constraints
topic General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2512.24502