A phenomenological study of 5d supersymmetry

TL;DR

This paper explores a 5d supersymmetric model embedding the MSSM, analyzing how extra dimensions influence parameter running and supersymmetry breaking, providing novel 5d parameter space plots compared to traditional 4d models.

Contribution

It introduces the first 5d $m_0$--$M_{1/2}$ plots for supersymmetry breaking parameters, highlighting differences from 4d models and studying the impact of Kaluza-Klein states.

Findings

Allowed and disallowed regions in the $m_0$--$M_{1/2}$ plane are identified.

Differences between 4d and 5d parameter space plots are explained.

The impact of Kaluza-Klein states on parameter running is analyzed.

Abstract

Supersymmetry and extra dimension need not be mutually exclusive options of physics for the TeV scale and beyond. In this paper, we envisage a phenomenological scenario by embedding the 4d constrained minimal supersymmetric standard model in a flat 5d $S_1 /Z_2$ orbifold, with the inverse radius of compactification at the TeV scale. The gauge, Higgs and the third generation matter multiplets are placed in the bulk. From a 4d perspective, the bulk has N=2 supersymmetry which entails a special non-renormalization theorem giving rise to a significant numerical impact on the renormalization group running of various parameters. The brane supersymmetry corresponds to N=1 which we assume to be broken in an unspecified but phenomenologically acceptable way. Given this set-up, we study how the gauge and Yukawa couplings and the N=1 brane supersymmetry breaking soft masses run through the energy scale exciting the Kaluza-Klein states at regular interval. We present our results by showing the allowed/disallowed zone in the plane of the common scalar mass ($m_0$) and common gaugino mass ($M_{1/2}$). Our plots are the first 5d versions of the often displayed 4d $m_0$--$M_{1/2}$ plots, and we provide reasons behind the differences between the 4d and 5d plots.