Abstract
We consider a renormalizable extension of the minimal supersymmetric standard model endowed by an R and a gauged B − L symmetry. The model incorporates chaotic inflation driven by a quartic potential, associated with the Higgs field which leads to a spontaneous breaking of U(1) B − L , and yields possibly detectable gravitational waves. We employ quadratic Kähler potential with a prominent shift-symmetric part proportional to c − and a tiny violation, proportional to c + , included in a logarithm with prefactor − N < 0 . An explanation of the μ term of the MSSM is also provided, consistently with the low energy phenomenology, under the condition that one related parameter in the superpotential is somewhat small. Baryogenesis occurs via non-thermal leptogenesis which is realized by the inflaton’s decay to the lightest or next-to-lightest right-handed neutrino with masses lower than 1.8 × 10 13 GeV. Our scenario can be confronted with the current data on the inflationary observables, the baryon asymmetry of the universe, the gravitino limit on the reheating temperature and the data on the neutrino oscillation parameters, for 0.012 ≲ c + / c − ≲ 1/N and gravitino as light as 1 TeV.
Highlights
As regards the νi masses, we follow the bottom-up approach described in Section 5.3, according to which we find the MiN c ’s by using as inputs the miD ’s, a reference mass of the νi ’s – m1ν for normally ordered (NO) miν ’s, or m3ν for invertedly ordered (IO) miν ’s, the two Majorana phases φ1 and φ2 of the PMNS
We investigated the realization of kinetically modified non-minimal Higgs inflation (HI) (i.e., Higgs Inflation) and non-thermal leptogenesis (nTL) in the framework of a model which emerges from minimal supersymmetric standard model (MSSM) if we extend its gauge symmetry by a factor U (1) B− L and assume that this symmetry is spontaneously broken at a Grand Unified Theory (GUT) scale determined by the running of the three gauge coupling constants
Prominent in this setting is the role of a softly broken shift-symmetry whose violation is parameterized by the quantity r± = c+ /c−
Summary
One of the primary ideas, followed the introduction of inflation [1,2,3] as a solution to longstanding cosmological problems—such as the horizon, flatness and magnetic monopoles problems—was its connection with a phase transition related to the breakdown of a Grand Unified Theory (GUT). A GUT based on GB− L = GSM × U (1) B− L , where GSM = SU (3)C × SU (2)L × U (1)Y is the gauge group of the standard model and B and L denote the baryon and lepton number respectively, consists [25,26,48] a conveniently simple framework which allows us to exemplify our proposal This is a minimal extension of the MSSM which is obtained by promoting the already existing U (1) B− L global symmetry to a local one.
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