Supersymmetric inflation with constraints on superheavy neutrino masses

Abstract

We consider a supersymmetric model of inflation in which the primordial density fluctuations are nearly scale invariant (spectral index n ≈ 0.98) with amplitude proportional to (M/M P lanck ) 2 , where M ∼ 10 16 GeV denotes the scale of the gauge symmetry breaking associated with inflation. The 60 or so e-foldings take place when all relevant scales are close to M , which helps suppress supergravity corrections. The gravitino and baryogenesis (via leptogenesis) constraints help determine the two heaviest right handed neutrino masses to be ≈ 2 × 10 13 GeV and 6 × 10 9 GeV. 98.80 Cq, 12.60 Jv, 95.35 +d

Quintessential kination and thermal production of gravitinos and axinos

“…3. q 's indicated on the curves. We take T I = 10 9 GeV, a value frequently met in the well-motivated models of SUSY hybrid inflation [58].…”

“…In this case, larger mã but very low T I are allowed. On the contrary, T I can be fixed to a naturally [58] high value within the QKS. At the same time, mã and Ω NS q take interestingly large values in the allowed region -see Fig.…”

“…In the QKS we take T I ≫ T C and T KR > T C for the HTR (see Sec. 5.1), but we consider as more natural choice (motivated by the majority [58] of the inflationary models) to take T I ≫ T C and T KR < T C for LTR (see Sec. 5.2).…”

The soft supersymmetry-breaking Lagrangian: theory and applications

“…Since there is a large literature of supersymmetric inflationary models (some of the literature that we will not discuss below includes [711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730]), and since most of them do not have a direct link with the MSSM and L sof t , we review a few representative models to illustrate some of the attempts to connect the MSSM and inflation.…”

μ Problem and hybrid inflation in supersymmetric SU(2)L×SU(2)R×U(1)B−L

“…Next let us show that this model has a built-in inflationary trajectory in the field space along which the F S term takes a constant value as in the supersymmetric hybrid inflationary scenario [10,11]. The relevant trajectory in the field space is parameterized by S. The key point here is that S has no self-interactions and appears in the superpotential only linearly.…”