%0 Journal Article %T MSSM-inflation revisited: Towards a coherent description of high-energy physics and cosmology %+ Laboratoire de Physique des 2 Infinis Irène Joliot-Curie (IJCLab) %+ Laboratoire Charles Coulomb (L2C) %+ Laboratoire Univers et Particules de Montpellier (LUPM) %+ Cosmologie et Gravitation %A Weymann-Despres, Gilles %A Henrot-Versillé, Sophie %A Moultaka, Gilbert %A Vennin, Vincent %A Duflot, Laurent %A von Eckardstein, Richard %< avec comité de lecture %@ 1550-7998 %J Physical Review D %I American Physical Society %V 108 %N 2 %P 023511 %8 2023 %D 2023 %Z 2304.04534 %R 10.1103/PhysRevD.108.023511 %K scale %K inflation %K operator %K nonrenormalizable %K dark matter %K annihilation %K Higgs particle %K mass %K energy %K density %K minimal supersymmetric standard model %K coherence %K power spectrum %K tree approximation %K flat direction %K fluctuation %K reheating %K Higgsino %K CERN LHC Coll %K renormalization group %K cosmological model %Z Physics [physics]/High Energy Physics - Phenomenology [hep-ph] %Z Physics [physics]/Astrophysics [astro-ph] %Z Physics [physics]/High Energy Physics - Theory [hep-th]Journal articles %X The aim of this paper is to highlight the challenges and potential gains surrounding a coherent description of physics from the high-energy scales of inflation down to the lower energy scales probed in particle-physics experiments. As an example, we revisit the way inflation can be realised within an effective Minimal Supersymmetric Standard Model (eMSSM), in which the $LLe$ and $udd$ flat directions are lifted by the combined effect of soft-supersymmetric-breaking masses already present in the MSSM, together with the addition of effective non-renormalizable operators. We clarify some features of the model and address the question of the one-loop Renormalization Group improvement of the inflationary potential, discussing its impact on the fine-tuning of the model. We also compare the parameter space that is compatible with current observations (in particular the amplitude, $A_{\scriptscriptstyle{\mathrm{S}}}$, and the spectral index, $n_{\scriptscriptstyle{\mathrm{S}}}$, of the primordial cosmological fluctuations) at tree level and at one loop, and discuss the role of reheating. Finally we perform combined fits of particle and cosmological observables (mainly $A_{\scriptscriptstyle{\mathrm{S}}}$, $n_{\scriptscriptstyle{\mathrm{S}}}$, the Higgs mass, and the cold-dark-matter energy density) with the one-loop inflationary potential applied to some examples of dark-matter annihilation channels (Higgs-funnel, Higgsinos and A-funnel), and discuss the status of the ensuing MSSM spectra with respect to the LHC searches. %G English %L hal-04080642 %U https://hal.science/hal-04080642 %~ IN2P3 %~ ENS-PARIS %~ CNRS %~ L2C %~ LUPM %~ PSL %~ UNIV-PARIS-SACLAY %~ MIPS %~ UNIV-MONTPELLIER %~ SORBONNE-UNIVERSITE %~ SORBONNE-UNIV %~ LPENS %~ IJCLAB %~ UNIV-PARIS %~ UNIVERSITE-PARIS %~ UP-SCIENCES %~ ENS-PSL %~ UNIVERSITE-PARIS-SACLAY %~ SU-TI %~ GS-PHYSIQUE %~ INSTITUT-SCIENCES-LUMIERE %~ ALLIANCE-SU %~ UM-2015-2021 %~ UM-EPE