Split supersymmetry breaking from Stückelberg mixing of multiple U(1)'s

Abstract

We show that multiple Abelian sectors with Stückelberg mass-mixing simply break supersymmetry via Fayet-Iliopoulos D-terms and straightforwardly mediate it to the other sectors. This mechanism naturally realizes a split supersymmetry spectrum for soft parameters. Scalar squared-masses (holomorphic and non-holomorphic) are induced through sizable portals and are not suppressed. Gaugino masses, a-terms and a μ-like term are generated by higher-dimensional operators and are suppressed. The hypercharge is mixed with extra U(1)'s, it's D-term in non-vanishing and supersymmetry is broken in the visible sector too. Scalar tachyonic directions are removed by unsuppressed interactions and hypercharge is preserved as supersymmetry is broken. Moreover, if a singlet chiral field is charged under additional U(1)'s proportional to its hypercharge, new interaction terms in the Kähler potential and the superpotential are added through Stückelberg compensation. In this case supersymmetry is broken via F-terms or mixed F and D-terms.