New Supergravity-mediated NNMSSM-like strutures
Résumé
General forms of the Kähler and superpotenials that lead to consistent low energy broken
Supersymmetry originating from N = 1 Supergravity have been classified and used for
model building since more than three decades. We point out the incompleteness of this
classification when hidden sector vacuum expectation values are of the order of the Planck
mass. Focusing in this paper mainly on the case of minimal Kähler potential, we adopt
a rigorous approach that retrieves on the one hand the known forms, and demonstrate
on the other hand the existence of a whole set of new forms for the superpotential of
which we give a complete classification. The latter forms involve a new type of chiral
superfields having the unusual property of belonging neither to the hidden sector nor to
the conventional observable sector. Comparing the obtained forms with the conventional
ones, we argue how new possibilities for model building can arise, and discuss the gravity
mediation of soft as well as additional hard (but parametrically small) Supersymmetry
breaking, in the presence of the new type of chiral superfields. In the simplest case,
we study the vacuum structure, characterize the masses and couplings of the scalar
components to the hidden and observable sectors and discuss briefly the physical role
they could play. In the generic case, we estimate the magnitude and possible consequences
of the hard breaking of Supersymmetry in terms of the interplay between hidden and
visible sectors mass scales.
Format : Présentation