Abstract
Without any shred of evidence for new physics from LHC, the last hiding spots of natural electroweak supersymmetry seem to lie either in compressed spectra or in spectra where scalars are suppressed with respect to the gauginos. While in the MSSM (or in any theory where supersymmetry is broken by the F-vev of a chiral spurion), a hierarchy between scalar and gaugino masses requires special constructions, it is automatic in scenarios where supersymmetry is broken by D-vev of a real spurion. In the latter framework, gaugino mediated contributions to scalar soft masses are finite (loop suppressed but not log-enhanced), a feature often referred to as “supersoftness”. Though phenomenologically attractive, pure supersoft models suffer from the μ-problem, potential color-breaking minima, large T-parameter, etc. These problems can be overcome without sacrificing the model’s virtues by departing from pure supersoftness and including μ-type effective operators at the messenger scale, that use the same D-vev, a framework known as generalized supersoft supersymmetry. The main purpose of this paper is to point out that the new operators also solve the last remaining issue associated with supersoft spectra, namely that a right handed (RH) slepton is predicted to be the lightest superpartner, rendering the setup cosmologically unfeasible. In particular, we show that the μ-operators in generalized supersoft generate a new source for scalar masses, which can raise the RH-slepton mass above bino due to corrections from renormalisation group evolutions (RGEs). In fact, a mild tuning can open up the bino-RH slepton coannihilation regime for a thermal dark matter. We derive the full set of RGEs required to determine the spectrum at low energies. Beginning with input conditions at a high scale, we show that completely viable spectra can be achieved.
Highlights
Supersymmetry at the electroweak scale remains one of the most celebrated solutions to the hierarchy problem of the Standard Model (SM) to date
While in the Minimal Supersymmetric Standard Model (MSSM), a hierarchy between scalar and gaugino masses requires special constructions, it is automatic in scenarios where supersymmetry is broken by D-vev of a real spurion
The strongest limit is drawn when the gluinos/squark masses are well separated from the LSP mass, reaching almost 2 TeV
Summary
Supersymmetry at the electroweak scale remains one of the most celebrated solutions to the hierarchy problem of the Standard Model (SM) to date. In a large part of the parameter space, the imaginary components of these adjoints may acquire vevs leading to dangerous charge and color breaking vacuum Previous solutions to this problem require deviation from the supersoftness, resulting in a low energy theory with Majorana gauginos or extended messenger sectors [26, 27]. The non-zero D-terms provide a boost to all scalar soft masses, while D-term operators involving the adjoint superfields allow more flexibility in the gaugino masses These effects combine to open up a swath of parameter space where the theory satisfies the observed Higgs mass and achieves the correct thermal relic dark matter abundance through binoslepton coannihilation, all in addition to the usual supersoft phenomenological benefits.
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