Abstract
Within the MSSM we propose the chaotic inflationary scenario in which the inflaton field is a combination of sleptons and the Higgs field states evolving along the $D$-term flat direction. In the inflation and postinflation reheating processes, a decisive role is played by the MSSM Yukawa superpotential. The vacuum energy during the inflationary era is mainly from the muonic Yukawa coupling, while the inflaton decay and subsequent reheating process dominantly proceeds due to the strange quark Yukawa term. Because of these, the presented scenario is predictive, and the results obtained agree well with cosmological observations. In particular, the scalar spectral index and the tensor-to-scalar ratio are, respectively, ${n}_{s}\ensuremath{\simeq}0.966$ and $r=0.00117$. The reheating temperature is found to be ${T}_{r}\ensuremath{\simeq}7.2\ifmmode\times\else\texttimes\fi{}{10}^{7}\text{ }\text{ }\mathrm{GeV}$.
Highlights
Recent cosmological data released by the Planck Collaboration [1,2] provide a great opportunity to probe theoretical inflationary models with improved accuracy
There has been much effort made to find a close connection between models of particle physics and inflation
To our knowledge, there are no models with predicted observables expressed in terms of the Standard Model or MSSM parameters
Summary
Recent cosmological data released by the Planck Collaboration [1,2] provide a great opportunity to probe theoretical inflationary models with improved accuracy. In this work, aiming to fill this gap, within the MSSM framework we propose a model of inflation in which predictions are made in terms of MSSM superpotential couplings. In order to have successful inflation, inflaton’s slow roll should be ensured (perhaps by some symmetry) For this purpose the supersymmetric (SUSY) constructions are very efficient [4]. Upon building the SUSY inflation models, in most cases, one goes beyond the MSSM and introduces additional singlet superfield(s). Such extensions, involving additional parameters, increase the degree of arbitrariness. In exploiting sleptons and/or squarks, for inflation, numerous works have been proposed [7] These models involve many new parameters due to higher order operators (which are needed to realize desirable inflation). MSSM superpotential, turns out to be crucial for successful inflation [8], with observables determined in terms of the MSSM parameters
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