Out Of This World Supersymmetry Breaking

TL;DR

This paper explores a higher-dimensional framework where supersymmetry breaking, mediated by the super-Weyl anomaly, generates soft masses for MSSM particles, offering solutions to key supersymmetric problems and making concrete, testable predictions.

Contribution

It introduces a novel higher-dimensional scenario with anomaly-mediated supersymmetry breaking, addressing multiple supersymmetric issues and providing explicit predictions for soft mass parameters.

Findings

Supersymmetry breaking induces scalar and gaugino masses at one-loop via the super-Weyl anomaly.

The framework offers solutions to the flavor, gaugino mass, CP, and mu problems in supersymmetry.

Gaugino and scalar masses are predicted in terms of MSSM renormalization group functions.

Abstract

We show that in a general hidden sector model, supersymmetry breaking necessarily generates at one-loop a scalar and gaugino mass as a consequence of the super-Weyl anomaly. We study a scenario in which this contribution dominates. We consider the Standard Model particles to be localized on a (3+1)-dimensional subspace or ``3-brane'' of a higher dimensional spacetime, while supersymmetry breaking occurs off the 3-brane, either in the bulk or on another 3-brane. At least one extra dimension is assumed to be compactified roughly one to two orders of magnitude below the four-dimensional Planck scale. This framework is phenomenologically very attractive; it introduces new possibilities for solving the supersymmetric flavor problem, the gaugino mass problem, the supersymmetric CP problem, and the mu-problem. Furthermore, the compactification scale can be consistent with a unification of gauge and gravitational couplings. We demonstrate these claims in a four-dimensional effective theory below the compactification scale that incorporates the relevant features of the underlying higher dimensional theory and the contribution of the super-Weyl anomaly. Naturalness constraints follow not only from symmetries but also from the higher dimensional origins of the theory. We also introduce additional bulk contributions to the MSSM soft masses. This scenario is very predictive: the gaugino masses, squark masses, and $A$ terms are given in terms of MSSM renormalization group functions.