Implication of preheating on gravity assisted baryogenesis in $R^2$-Higgs inflation - Archive ouverte HAL
Preprints, Working Papers, ... Year : 2024

Implication of preheating on gravity assisted baryogenesis in $R^2$-Higgs inflation

Christoph Englert
  • Function : Author
Tanmoy Modak
  • Function : Author
Mariano Quirós
  • Function : Author

Abstract

We investigate the impact of preheating on baryogenesis in $R^2$-Higgs inflation. In this scenario, the inclusion of a dimension-six operator ${(R/ \Lambda^2)} B_{\mu\nu} \widetilde{B}^{\mu\nu} $ abundantly generates helical hypermagnetic fields during inflation, leading to a baryon asymmetric Universe at the electroweak crossover. Focusing on the $R^2$-like regime, we first derive the relevant dynamics of preheating using a doubly-covariant formalism. We find that preheating can happen for the Higgs, transverse gauge and Goldstone bosons, however, it is dependent on the value of the non-minimal coupling $\xi_H$ between the Standard Model Higgs field and the Ricci scalar. We identify the preheating temperature to determine the appropriate scale $\Lambda$ for driving baryogenesis, which is around $\Lambda \sim 2.2 \, (2.6) \times 10^{-5}\, M_{\rm P}$ for $\xi_H \sim 1 \, (10)$. Our results represent the most accurate estimation of the scale of gravity induced baryogenesis in $R^2$-Higgs inflation to date. Areas for further improvement are identified.

Dates and versions

hal-04808487 , version 1 (28-11-2024)

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Yann Cado, Christoph Englert, Tanmoy Modak, Mariano Quirós. Implication of preheating on gravity assisted baryogenesis in $R^2$-Higgs inflation. 2024. ⟨hal-04808487⟩
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