Minimal warm higgs inflation in palatini gravity

Jureeporn Yuennan; Ratbay Myrzakulov; P. K. Sahoo; Farruh Atamurotov; Phongpichit Channuie

doi:10.1140/epjc/s10052-025-14703-y

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2025) 85: 972
https://doi.org/10.1140/epjc/s10052-025-14703-y

Regular Article - Theoretical Physics

Minimal warm higgs inflation in palatini $R^{2}$ $R^{2}$ gravity

Jureeporn Yuennan¹, Ratbay Myrzakulov²^,3, P. K. Sahoo⁴, Farruh Atamurotov⁵ and Phongpichit Channuie⁶^a

¹ Faculty of Science and Technology, Nakhon Si Thammarat Rajabhat University, 80280, Nakhon Si Thammarat, Thailand
² Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, 010009, Astana, Kazakhstan
³ L. N. Gumilyov Eurasian National University, 010008, Astana, Kazakhstan
⁴ Department of Mathematics, Birla Institute of Technology and Science-Pilani, Hyderabad Campus, 500078, Hyderabad, India
⁵ Urgench State University, Kh. Alimdjan Str. 14, 220100, Urgench, Uzbekistan
⁶ School of Science, College of Graduate Studies, Walailak University, 80160, Nakhon Si Thammarat, Thailand

^a phongpichit.ch@mail.wu.ac.th

Received: 25 May 2025
Accepted: 30 August 2025
Published online: 11 September 2025

Abstract

We investigate a novel realization of warm inflation driven by the Standard Model (SM) Higgs field within the Palatini formulation of gravity, supplemented by an $R^{2}$ $$R^2$$ curvature correction. By incorporating dissipative dynamics and a thermal radiation bath, our model eliminates the need for a separate reheating phase and naturally flattens the inflationary potential. We derive the slow-roll dynamics in the strong dissipation regime, compute the resulting inflationary observables, and demonstrate compatibility with the latest CMB constraints from Planck, BICEP/Keck, and BAO data. Specifically, we show that the scalar spectral index $n_{s}$ $$n_s$$ lies in the range 0.963–0.965, and the tensor-to-scalar ratio r is strongly suppressed, $r \sim O (10^{- 3}$ $r \sim \mathscr {O}(10^{-3}$ – $10^{- 2})$ $10^{-2})$ , for Higgs quartic couplings $λ \sim 10^{- 9}$ $\lambda \sim 10^{-9}$ . These predictions remain robust under two distinct growing-mode functions. Furthermore, we show that the model is consistent with the refined de Sitter swampland conjecture due to entropy production during inflation. This work represents the first comprehensive study of warm minimal Higgs inflation in Palatini $R^{2}$ $$R^2$$ gravity, unifying quantum gravity criteria, thermal field dynamics, and observational consistency within a single inflationary framework.

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

Funded by SCOAP³.

Conference announcements

4 Internat. Symposium of the History of Particle Physics
10-13 November, 2025
CERN, Geneva, Switzerland

Winter Workshop on Complex Systems
25-30 January 2026
Santuari de Lluc, Mallorca, Spain

EPJ

Minimal warm higgs inflation in palatini R2 gravity

Conference announcements

Minimal warm higgs inflation in palatini $R^{2}$ $R^{2}$ gravity