Abstract

A small tensor-to-scalar ratio $r$ may lead to distinctive phenomenology of high-scale supersymmetry. Assuming the same origin of SUSY breaking between the inflation and visible sector, we show model independent features. The simplest hybrid inflation, together with a new linear term for the inflaton field which is induced by large gravitino mass, is shown to be consistent with all experimental data for $r$ of order $10^{-5}$. For superpartner masses far above the weak scale we find that the reheating temperature after inflation might be beneath the value required by thermal leptogenesis if the inflaton decays to its products perturbatively, but above it if non-perturbatively instead. Remarkably, the gravitino overproduction can be evaded in such high-scale supersymmetry because of the kinematically blocking effect.

Highlights

  • After the discovery [1,2] of the standard model (SM) Higgs boson at the large hadron collider (LHC), low-scale supersymmetry (SUSY), which is favored by the naturalness argument has been extensively explored

  • We find that TR might be below the value ∼109 GeV required by thermal leptogenesis if inflaton decays to its products perturbatively, but above it if the decay is non-perturbatively instead

  • In the light of both LHC data and the Planck bound on r, high-scale SUSY is more favored compared with low-scale SUSY

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Summary

Introduction

After the discovery [1,2] of the standard model (SM) Higgs boson at the large hadron collider (LHC), low-scale supersymmetry (SUSY) (see, e.g. [3]), which is favored by the naturalness argument (see, e.g. [4]) has been extensively explored. After the discovery [1,2] of the standard model (SM) Higgs boson at the large hadron collider (LHC), low-scale supersymmetry (SUSY) Even though high-scale SUSY cannot be detected at the 14-TeV LHC, it can be still studied via their effects on the evolution of the early universe. We consider inflationary models with r far below the Planck bound value rc = 0.11. For simplicity we adopt the assumption that the inflation and visible (namely the minimal supersymmetric standard model, MSSM) sector have the same origin of SUSY breaking. It allows us to discuss reheating in the early universe after inflation, once the SUSY mass spectrum and the inflaton decay are identified explicitly. In the second part of this paper we discuss the reheating in the early universe after inflation in Sect. Which is required to cancel a positive F2 term in the potential so as to explain the smallness of the cosmological constant, gives rise to

Implications of the value of r to inflation
The simplest hybrid inflation
Scalar potential
Initial conditions
Reheating in high-scale SUSY
Perturbative decay
Non-perturbative decay
It implies that SM gauge symmetry is unbroken during
Conclusions
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