Abstract
We discuss electric dipole moments (EDMs) in the framework of CP-violating natural supersymmetry (SUSY). Recent experimental results have significantly tightened constraints on the EDMs of electrons and of mercury, and substantial further progress is expected in the near future. We assess how these results constrain the parameter space of natural SUSY. In addition to our discussion of SUSY, we provide a set of general formulas for two-loop fermion EDMs, which can be applied to a wide range of models of new physics. In the SUSY context, the two-loop effects of stops and charginos respectively constrain the phases of Atμ and M2μ to be small in the natural part of parameter space. If the Higgs mass is lifted to 125 GeV by a new tree-level superpotential interaction and soft term with CP-violating phases, significant EDMs can arise from the two-loop effects of W bosons and tops. We compare the bounds arising from EDMs to those from other probes of new physics including colliders, b → sγ, and dark matter searches. Importantly, improvements in reach not only constrain higher masses, but require the phases to be significantly smaller in the natural parameter space at low mass. The required smallness of phases sharpens the CP problem of natural SUSY model building.
Highlights
Supersymmetry (SUSY) is a promising solution to the hierarchy problem [1]
We find that the present ACME experiment and the mercury electric dipole moments (EDMs) measurement give comparable constraints on the stop sector, though an updated ACME result within the year could surpass them
In this paper we have studied implications of EDM measurements on the parameter space of CP-violating natural SUSY
Summary
Supersymmetry (SUSY) is a promising solution to the hierarchy problem [1]. many new parameters induce significant flavor mixing or CP-violating processes which are severely constrained by experiments. In the context of the MSSM, achieving this mass without completely giving up on naturalness requires large values of the left-right stop mixing parameter At (see [25] and references therein) This tends to enhance the expected EDMs, for generic CP-violating phases. Such physics generally introduces new possible sources of CP violation, which have received little attention so far (though see [26, 27]) Both due to improvements in constraints on EDMs themselves and our altered perspective on the most plausible forms that supersymmetry can take, it is timely to revisit the assessment of what EDM experiments can tell us about SUSY. We think that it will become increasingly interesting to carefully study not just the low-energy theory of natural SUSY but detailed models of SUSY breaking to understand which scenarios evade the SUSY CP problem and whether they will continue to escape the downward march of experimental bounds
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