Linking Starobinsky-Type Inflation in no-Scale Supergravity to MSSM

Dec 12, 2013
23 pages
Published in:
  • JCAP 04 (2014) 024,
  • JCAP 07 (2017) E01 (erratum)
  • Published: Apr 23, 2014
e-Print:

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Abstract: (IOP)
A novel realization of the Starobinsky inflationarymodel within a moderate extension of the Minimal SupersymmetricStandard Model (MSSM) is presented. The proposed superpotential isuniquely determined by applying a continuous R and a2 discrete symmetry, whereas the Kähler potential is associatedwith a no-scale-type SU(54,1)/SU(54) × U(1)R × 2 Kähler manifold. The inflaton is identified with aHiggs-like modulus whose the vacuum expectation value controls thegravitational strength. Thanks to a strong enough coupling (with aparameter cT involved) between the inflaton and the Ricciscalar curvature, inflation can be attained even for subplanckian valuesof the inflaton with cT ≥ 76 and the corresponding effectivetheory being valid up to the Planck scale. The inflationaryobservables turn out to be in agreement with the current data andthe inflaton mass is predicted to be 3·1013GeV. At thecost of a relatively small superpotential coupling constant, the modeloffers also a resolution of the μ problem of MSSM forcT ≤ 4500 and gravitino heavier than about 104GeV.Supplementing MSSM by three right-handed neutrinos we show thatspontaneously arising couplings between the inflaton and theparticle content of MSSM not only ensure a sufficiently lowreheating temperature but also support a scenario of non-thermalleptogenesis consistently with the neutrino oscillationparameters.
Note:
  • Erratum addressing issues in the derivation of the mu parameter of MSSM is included
  • particle physics - cosmology connection
  • supersymmetry and cosmology
  • cosmology of theories beyond the SM
  • inflationn
  • cosmological model
  • Starobinsky model
  • supergravity
  • supersymmetry
  • superpotential
  • mu-problem