Minimal warm higgs inflation in palatini R2 gravity

Yuennan J. Myrzakulov R. Sahoo P.K. Atamurotov F. Channuie P.
September 2025 Springer Nature

European Physical Journal C
2025 #85 Issue 9

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 R2 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 ns lies in the range 0.963–0.965, and the tensor-to-scalar ratio r is strongly suppressed, r∼O(10-3–10-2), for Higgs quartic couplings λ∼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 R2 gravity, unifying quantum gravity criteria, thermal field dynamics, and observational consistency within a single inflationary framework.

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

Faculty of Science and Technology
Eurasian International Centre for Theoretical Physics
L. N. Gumilyov Eurasian National University
Department of Mathematics
Urgench State University
School of Science

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