Out of this world supersymmetry breaking

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 µ-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.6. Sequestered supersymmetry breaking is very predictive. The ratio of gaugino masses depends on the beta functions, rather than simply the gauge coupling as for the other two scenarios. There is a nearly degenerate wino/zino LSP, of which the zino is the lighter. We predict A-terms proportional to the corresponding Yukawa couplings. 6

Dirac Gaugino Masses and Supersoft Supersymmetry Breaking

“…Alternatively, if the operator in (2.4) is generated by string-scale suppressed physics, the term (3.17) can be highly suppressed if MSSM gauge fields but not Higgs fields propagate in a fifth dimension and the supersymmetry breaking physics is confined to another brane. If D ∼ 10 11 GeV (either with an FI term or by confining the SUSY breaking dynamics to another brane), then the gravitino mass is roughly the weak scale, and we can use the Giudice-Masiero mechanism [35] to solve the µ problem as in [1,36]. That is, if the conformal compensator takes on an F -component vev, φ = 1+θ 2 m 3/2 , we can write a Kähler potential term…”

Purley Four-dimensional Viable Anomaly Mediation

“…One can hope that this duality can be stretched further to a duality between the five dimensional brane world scenario and a four dimensional conformal field theory. With this in mind we can expect that the sequestering attempted in [1] with an extra dimension might be realized in a 4D model in which the hidden sector is conformal. Luty and Sundrum showed this is indeed the case by looking at 4D theory with the hidden sector being SUSY QCD with 3 2 N c ≤ N f ≤ 3N c (i.e.…”

“…Anomaly-mediated supersymmetry breaking [1,2] represents an attractive solution to this problem. In anomaly mediation, the breaking of scale invariance mediates supersymmetry breaking between the visible and the hidden sectors.…”

“…For the anomaly mediation to solve the SUSY flavor problem, other contributions to supersymmetry breaking must be somehow suppressed. In its original incarnation, this suppression was accomplished through a spatial separation of the visible and hidden sectors in an extra-dimension, which was thought to have the effect of "sequestering" the hidden sector [1].…”

“…This four dimensional solution is reviewed in Section II. The problem of tachyonic sleptons has also been overcome [1,8,9,10,11]. However, no explicit model exists that both effectively sequesters the supersymmetry breaking sector and provides a phenomenologically viable spectrum.…”