Phenomenology and Cosmology of No-Scale Attractor Models of Inflation. (arXiv:2004.00643v1 [hep-ph])
<a href="http://arxiv.org/find/hep-ph/1/au:+Ellis_J/0/1/0/all/0/1">John Ellis</a>, <a href="http://arxiv.org/find/hep-ph/1/au:+Nanopoulos_D/0/1/0/all/0/1">Dimitri V. Nanopoulos</a>, <a href="http://arxiv.org/find/hep-ph/1/au:+Olive_K/0/1/0/all/0/1">Keith A. Olive</a>, <a href="http://arxiv.org/find/hep-ph/1/au:+Verner_S/0/1/0/all/0/1">Sarunas Verner</a>
We have recently proposed attractor models for modulus fixing, inflation,
supersymmetry breaking and dark energy based on no-scale supergravity. In this
paper we develop phenomenological and cosmological aspects of these no-scale
attractor models that underpin their physical applications. We consider models
in which inflation is driven by a modulus field ($T$-type) with supersymmetry
broken by a Polonyi field, or a matter field ($phi$-type) with supersymmetry
broken by the modulus field. We derive the possible patterns of soft
supersymmetry-breaking terms, which depend in $T$-type models whether the
Polonyi and/or matter fields are twisted or not, and in $phi$-type models on
whether the inflaton and/or other matter fields are twisted or not. In
$phi$-type models, we are able to directly relate the scale of supersymmetry
breaking to the inflaton mass. We also discuss cosmological constraints from
entropy considerations and the density of dark matter on the mechanism for
stabilizing the modulus field via higher-order terms in the no-scale K”ahler
potential.
We have recently proposed attractor models for modulus fixing, inflation,
supersymmetry breaking and dark energy based on no-scale supergravity. In this
paper we develop phenomenological and cosmological aspects of these no-scale
attractor models that underpin their physical applications. We consider models
in which inflation is driven by a modulus field ($T$-type) with supersymmetry
broken by a Polonyi field, or a matter field ($phi$-type) with supersymmetry
broken by the modulus field. We derive the possible patterns of soft
supersymmetry-breaking terms, which depend in $T$-type models whether the
Polonyi and/or matter fields are twisted or not, and in $phi$-type models on
whether the inflaton and/or other matter fields are twisted or not. In
$phi$-type models, we are able to directly relate the scale of supersymmetry
breaking to the inflaton mass. We also discuss cosmological constraints from
entropy considerations and the density of dark matter on the mechanism for
stabilizing the modulus field via higher-order terms in the no-scale K”ahler
potential.
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