Increase of $n_s$ in regularized pole inflation & Einstein-Cartan gravity

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Hauptverfasser: He, Minxi, Hong, Muzi, Mukaida, Kyohei
Format: Preprint
Veröffentlicht: 2025
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author He, Minxi
Hong, Muzi
Mukaida, Kyohei
author_facet He, Minxi
Hong, Muzi
Mukaida, Kyohei
contents We show that the regularization of the second order pole in the pole inflation can induce the increase of $n_s$, which may be important after the latest data release of cosmic microwave background (CMB) observation by Atacama Cosmology Telescope (ACT). Pole inflation is known to provide a unified description of attractor models that they can generate a flat plateau for inflation given a general potential. Recent ACT observation suggests that the constraint on the scalar spectral index $n_s$ at CMB scale may be shifted to a larger value than the predictions in the Starobinsky model, the Higgs inflation, and the $α$-attractor model, which motivates us to consider the modification of the pole inflation. We find that if we regularize the second order pole in the kinetic term such that the kinetic term becomes regular for all field range, we can generally increase $n_s$ because the potential in the large field regime will be lifted. We have explicitly demonstrated that this type of regularized pole inflation can naturally arise from the Einstein-Cartan formalism, and the inflationary predictions are consistent with the latest ACT data without spoiling the success of the $α$-attractor models.
format Preprint
id arxiv_https___arxiv_org_abs_2504_16069
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Increase of $n_s$ in regularized pole inflation & Einstein-Cartan gravity
He, Minxi
Hong, Muzi
Mukaida, Kyohei
Cosmology and Nongalactic Astrophysics
High Energy Physics - Phenomenology
We show that the regularization of the second order pole in the pole inflation can induce the increase of $n_s$, which may be important after the latest data release of cosmic microwave background (CMB) observation by Atacama Cosmology Telescope (ACT). Pole inflation is known to provide a unified description of attractor models that they can generate a flat plateau for inflation given a general potential. Recent ACT observation suggests that the constraint on the scalar spectral index $n_s$ at CMB scale may be shifted to a larger value than the predictions in the Starobinsky model, the Higgs inflation, and the $α$-attractor model, which motivates us to consider the modification of the pole inflation. We find that if we regularize the second order pole in the kinetic term such that the kinetic term becomes regular for all field range, we can generally increase $n_s$ because the potential in the large field regime will be lifted. We have explicitly demonstrated that this type of regularized pole inflation can naturally arise from the Einstein-Cartan formalism, and the inflationary predictions are consistent with the latest ACT data without spoiling the success of the $α$-attractor models.
title Increase of $n_s$ in regularized pole inflation & Einstein-Cartan gravity
topic Cosmology and Nongalactic Astrophysics
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2504.16069