$\delta T/T$ and Neutrino Masses in SU(5)

Abstract

We implement inflation in a supersymmetric SU(5) model with U(1) R-symmetry such that the cosmic microwave anisotropy $\delta T/T$ is proportional to $(M/M_{\mathrm{Planck}}{)}^2$, where $M\sim M_{GUT}=2-3\times 10^{16}$ GeV, the SU(5) breaking scale, and $M_{\mathrm{Planck}}=2.4\times 10^{19}$ GeV. The presence of a global $U(1{)}_X$ symmetry, spontaneously broken also at scale $M_{GUT}$, provides an upper bound $M_{GUT}^2/M_{\mathrm{Planck}}\sim 10^{14}$ GeV on the masses of SU(5) singlet right handed neutrinos, which explains the mass scale associated with atmospheric neutrino oscillations. The SU(5) monopoles and $U(1{)}_X$ cosmic strings are inflated away. Although the doublet-triplet splitting requires fine-tuning, the MSSM $\mu$ problem is resolved and dimension five proton decay is strongly suppressed.

1+15 pages, no figure, version to appear in PLB

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• Simplified Smooth Hybrid Inflation in Supersymmetric SU(5)
• New Inflation in Supersymmetric SU(5) and Flipped SU(5) GUT Models
• Pseudosmooth Tribrid Inflation
• Flat-Directions in Grand Unification With $U(1{)}_R$ Symmetry