Low-scale Supersymmetry from Inflation

TL;DR

This paper proposes an inflation model where the inflaton is a Higgs boson responsible for U(1)B-L symmetry breaking, linking low-scale supersymmetry to early universe cosmology and addressing several cosmological problems.

Contribution

It demonstrates that supersymmetry must be preserved at scales just below the inflation scale, with implications for low-scale supersymmetry and cosmological phenomena.

Findings

Supersymmetry remains valid at scales 1-1000 TeV during inflation.

The model naturally supports non-thermal leptogenesis.

It offers solutions or improvements to gravitino and moduli problems.

Abstract

We investigate an inflation model with the inflaton being identified with a Higgs boson responsible for the breaking of U(1)B-L symmetry. We show that supersymmetry must remain a good symmetry at scales one order of magnitude below the inflation scale, in order for the inflation model to solve the horizon and flatness problems, as well as to account for the observed density perturbation. The upper bound on the soft supersymmetry breaking mass lies between 1TeV and 10^3TeV. Interestingly, our finding opens up a possibility that universes with the low-scale supersymmetry are realized by the inflationary selection. Our inflation model has rich implications; non-thermal leptogenesis naturally works, and the gravitino and moduli problems as well as the moduli destabilization problem can be solved or ameliorated; the standard-model higgs boson receives a sizable radiative correction if the supersymmertry breaking takes a value on the high side ~10^3TeV.