Relating the CMSSM and SUGRA models with GUT scale and Super-GUT scale Supersymmetry Breaking

TL;DR

This paper explores the relationships between CMSSM and SUGRA models at GUT and Super-GUT scales, analyzing how extensions like Giudice-Masiero influence model constraints, dark matter candidates, and UV completions.

Contribution

It introduces a Giudice-Masiero extension to connect CMSSM with minimal supergravity, clarifying the impact on model parameters and dark matter predictions at high energy scales.

Findings

Giudice-Masiero extension recovers CMSSM predictions

Dark matter candidate depends on A_0 value

Universality conditions at high scales influence model behavior

Abstract

While the constrained minimal supersymmetric standard model (CMSSM) with universal gaugino masses, m_{1/2}, scalar masses, m_0, and A-terms, A_0, defined at some high energy scale (usually taken to be the GUT scale) is motivated by general features of supergravity models, it does not carry all of the constraints imposed by minimal supergravity (mSUGRA). In particular, the CMSSM does not impose a relation between the trilinear and bilinear soft supersymmetry breaking terms, B_0 = A_0 - m_0, nor does it impose the relation between the soft scalar masses and the gravitino mass, m_0 = m_{3/2}. As a consequence, tan(\beta) is computed given values of the other CMSSM input parameters. By considering a Giudice-Masiero (GM) extension to mSUGRA, one can introduce new parameters to the K\"ahler potential which are associated with the Higgs sector and recover many of the standard CMSSM predictions. However, depending on the value of A_0, one may have a gravitino or a neutralino dark matter candidate. We also consider the consequences of imposing the universality conditions above the GUT scale. This GM extension provides a natural UV completion for the CMSSM.