Supersymmetric B-L inflation near the conformal coupling

Abstract

We investigate a novel scenario of cosmological inflation in a gauged $B-L$ extended minimal supersymmetric Standard Model with R-symmetry. We use a noncanonical Kähler potential and a superpotential, both preserving the R-symmetry to construct a model of slow-roll inflation. The model is controlled by two real parameters: the nonminimal coupling $\xi$ that originates from the Kähler potential, and the breaking scale $v$ of the $U(1{)}_{B-L}$ symmetry. We compute the spectrum of the cosmological microwave background radiation and show that the prediction of the model fits well the recent Planck satellite observation for a wide range of the parameter space. We also find that the typical reheating temperature of the model is low enough to avoid the gravitino problem but nevertheless allows sufficient production of the baryon asymmetry if we take into account the effect of resonance enhancement. The model is free from cosmic strings that impose stringent constraints on generic $U(1{)}_{B-L}$ based scenarios, as in our scenario the $U(1{)}_{B-L}$ symmetry is broken from the onset.

9 pages, 4 figures, REVTeX 4.1. References added (v2). Comments added and typos corrected (v3)

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• Kinetically Modified Non-Minimal Higgs Inflation in Supergravity
• Variants of Kinetically Modified Non-Minimal Higgs Inflation in Supergravity
• Reheating consistency condition on the classically conformal $U(1{)}_{B-L}$ Higgs inflation model
• Gravitino constraints on supergravity inflation
• Messenger inflation in gauge mediation and superWIMP dark matter
• Inflation and type III seesaw mechanism in $\nu$-gauge mediated supersymmetry breaking