Analytical Soft SUSY Spectrum in Mirage-Type Mediation Scenarios

TL;DR

This paper provides an analytical derivation of the soft SUSY breaking parameters in mirage-type mediation scenarios, highlighting the unique RGE boundary dependencies and confirming the mirage unification scale.

Contribution

It offers the first explicit analytical expressions for the low-energy soft SUSY parameters in (deflected) mirage mediation, including boundary value dependencies and the mirage unification scale.

Findings

Analytical expressions for soft SUSY parameters at low energy.

Proof of the mirage unification scale in these scenarios.

Discussion of new features in deflected mirage mediation.

Abstract

We derive explicitly the soft SUSY breaking parameters at arbitrary low energy scale in the (deflected) mirage type mediation scenarios with possible gauge or Yukawa mediation contributions. Based on the Wilsonian effective action after integrating out the messengers, we obtain analytically the boundary value (at the GUT scale) dependencies of the effective wavefunctions and gauge kinetic terms. Note that the messenger scale dependencies of the effective wavefunctions and gauge kinetic terms had already been discussed in GMSB. The RGE boundary value dependencies, which is a special feature in (deflected) mirage type mediation, is the key new ingredients in this study. The appearance of $'mirage'$ unification scale in mirage mediation is proved rigorously with our analytical results. We also discuss briefly the new features in deflected mirage mediation scenario in the case the deflection comes purely from the Kahler potential and the case with messenger-matter interactions.