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.
Highlights
Lift the AdS universe to obtain a dS one
Note that the messenger scale dependencies of the effective wavefunctions and gauge kinetic terms had already been discussed in gauge mediated SUSY breaking (GMSB)
In mirage type mediation scenarios, analytical expressions for the soft SUSY breaking parameters are no not given at the messenger scale M, but given at the GUT scale instead
Summary
Inspired by string-motivated KKLT approach to moduli stabilization within Type IIB string theory, mirage mediation supersymmetry breaking is proposed, in which the modulus mediated supersymmetry breaking terms are suppressed by numerically a loop factor so that the anomaly mediated terms can be competitive. After fixing and integrating out the dilaton and the complex structure moduli, the four-dimensional Wilsonian effective supergravity action (defined at the boundary scale Λ) in terms of compensator field and a single Kahler modulus parameterizing the overall size of the compact space [11] is given as e−1L =. The gauge kinetic term fi, the messenger superfields Pi, the MSSM superfields Φ and the pseudo-moduli superfields are all assumed to depend non-trivially on the Kahler moduli T as ZX (T †, T ). Where the first term is generated from the fluxes and the second term from non-perturbative effects, such as gaugino condensation or D3-instanton. The modulus T , which is not fixed by the background flux, can be stabilized by non-perturbative gaugino condensation with its VEV satisfying a. Boundary value of the soft SUSY breaking parameters at the GUT scale can be seen in [11]
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