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Abstract
We discuss phenomenological viability of a novel inflationary model in the minimal gauge mediated supersymmetry breaking scenario. In this model, cosmic inflation is realized in the flat direction along the messenger supermultiplets and a natural dark matter candidate is the gravitino from the out-of-equilibrium decay of the binolike neutralino at late times, which is called the super-WIMP scenario. The produced gravitino is warmish and can have a large free-streaming length; thus the cusp anomaly in the small scale structure formation may be mitigated. We show that the requirement of the Standard Model Higgs boson mass to be ${m}_{{h}^{0}}=125.1\text{ }\text{ }\mathrm{GeV}$ gives a relation between the spectrum of the cosmic microwave background and the messenger mass $M$. We find, for the $e$-folding number ${N}_{e}=60$, the Planck 2018 constraints (TT, TE, $\mathrm{EE}+\mathrm{lowE}+\mathrm{lensing}+\mathrm{BK}15+\mathrm{BAO}$, 68% confidence level) give $M>3.64\ifmmode\times\else\texttimes\fi{}{10}^{7}\text{ }\text{ }\mathrm{GeV}$. The gravitino dark matter mass is ${m}_{3/2}<5.8\text{ }\text{ }\mathrm{GeV}$ and the supersymmetry breaking scale $\mathrm{\ensuremath{\Lambda}}$ is found to be in the range $(1.28--1.33)\ifmmode\times\else\texttimes\fi{}{10}^{6}\text{ }\text{ }\mathrm{GeV}$. Future cosmic microwave background observation is expected to give tighter constraints on these parameters.
Highlights
The direct detection of gravitational waves by the Laser Interferometer Gravitational-wave Observatory and the discovery of the Higgs boson in the Large Hadron Collider have been major achievements in this century
One of them is the nondetection of cosmic microwave background (CMB) B-mode polarization of primordial origin
Inflation is implemented by known component fields, and its prediction is shown to be compatible with current CMB observations
Summary
The direct detection of gravitational waves by the Laser Interferometer Gravitational-wave Observatory and the discovery of the Higgs boson in the Large Hadron Collider have been major achievements in this century. Realistic inflationary model building requires a more sophisticated framework than, for example, the simple chaotic-type inflation models that were once considered standard Another important null result we encountered concerns supersymmetric particles. Motivated by the precision measurements of the CMB spectrum, we discuss, in this paper, a scenario of cosmic inflation within the minimal supersymmetric Standard Model (MSSM). In this scenario, inflation is implemented by known component fields, and its prediction is shown to be compatible with current CMB observations. We use 125.1 GeV of the Higgs mass as a phenomenological input and assume that the present dark matter abundance consists of the superWIMP This messenger inflation model predicts a relation between the CMB spectrum and the mass of the messengers.
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