Aspects of Effective Supersymmetric Theories

TL;DR

This paper extends the Minimal Supersymmetric Standard Model with higher dimensional operators to study phenomenology and explores constrained superfields in extended supersymmetry, revealing new mechanisms like a super-Higgs effect without gravity.

Contribution

It constructs the complete effective extension of the MSSM with higher dimensional operators and demonstrates novel supersymmetry features using constrained superfields in N=2 theories.

Findings

Effective operators impact LHC physics predictions.

Interpretation of the little hierarchy problem as new physics at multiTeV scale.

Identification of a super-Higgs mechanism without gravity.

Abstract

This work consists of two parts. In the first part we construct the complete extension of the Minimal Supersymmetric Standard Model by higher dimensional effective operators and study its phenomenology. These operators encapsulate the effects on LHC physics of possible new degrees of freedom at the multiTeV scale. The effective analysis includes the case where the multiTeV physics is the supersymmetry breaking sector itself. Beyond the new effective couplings, the analysis suggests an interpretation of the 'little hierarchy problem' as an indication of new physics at multiTeV scale. In the second part we explore the power of constrained superfields in extended supersymmetry. It is known that in N = 2 supersymmetry the gauge kinetic function cannot depend on hypermultiplet scalars. However, it is also known that the low energy effective action of a D-brane in an N = 2 supersymmetric bulk includes the DBI action, where the gauge kinetic function does depend on the dilaton. We show how the nonlinearization of the second SUSY (imposed by the presence of the D-brane) opens this possibility, by constructing the global N = 1 linear + 1 nonlinear invariant coupling of a hypermultiplet with a gauge multiplet. The constructed theory enjoys interesting features, including a novel super-Higgs mechanism without gravity.