Refining the predictions of supersymmetric CP-violating models: A top-down approach

TL;DR

This paper investigates the effects of CP-violating phases in supersymmetric models, using a detailed two-loop RGE analysis to identify parameter regions compatible with experimental and cosmological constraints, with implications for LHC searches.

Contribution

It provides a comprehensive two-loop RGE analysis of CP-violating phases in supersymmetry, including Higgs VEV misalignment, and explores their impact on EDMs and dark matter constraints.

Findings

Two-loop RGEs induce sizable effects on EDMs absent in one-loop analysis.

Higgs VEV misalignment significantly affects EDM predictions in large tanb regions.

Parameter regions with large CP phases can satisfy EDM, dark matter, and collider constraints.

Abstract

We explore in detail the consequences of the CP-violating phases residing in the supersymmetric and soft SUSY breaking parameters in the approximation that family flavour mixings are ignored. We allow for non-universal boundary conditions and in such a consideration the model is described by twelve independent CP-violating phases and one angle which misaligns the vacuum expectation values (VEVs) of the Higgs scalars. We run two-loop renormalization group equations (RGEs), for all parameters involved, including phases, and we properly treat the minimization conditions using the one-loop effective potential with CP-violating phases included. We show that the two-loop running of phases may induce sizable effects for the electric dipole moments (EDMs) that are absent in the one-loop RGE analysis. Also important corrections to the EDMs are induced by the Higgs VEVs misalignment angle which are sizable in the large tanb region. Scanning the available parameter space we seek regions compatible with accelerator and cosmological data with emphasis on rapid neutralino annihilations through a Higgs resonance. It is shown that large CP-violating phases, as required in Baryogenesis scenarios, can be tuned to obtain agreement with WMAP3 cold dark matter constraints, EDMs and all available accelerator data, in extended regions of the parameter space which may be accessible to LHC.