Abstract

We elaborate on a recent study of a model of supersymmetry breaking we proposed recently, in the presence of a tunable positive cosmological constant, based on a gauged shift symmetry of a string modulus, external to the Standard Model (SM) sector. Here, we identify this symmetry with a global symmetry of the SM and work out the corresponding phenomenology. A particularly attracting possibility is to use a combination of Baryon and Lepton number that contains the known matter parity and guarantees absence of dimension-four and -five operators that violate B and L.

Highlights

  • In a recent paper [1], we performed a detailed study of the phenomenology of a supergravity model of supersymmetry breaking [2, 3], having a metastable de Sitter vacuum with a tiny cosmological constant, independent of the supersymmetry breaking scale

  • We analyzed the phenomenological implications in great detail for the particular case where the global symmetry is B − L, or 3B − L, which contains the known matter parity of the MSSM as a subgroup

  • We showed that the phenomenology is similar to the one obtained in [1], where the MSSM fields are inert under the shift symmetry, with the exception of the stop mass which can be become lighter to about 1.5 TeV

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Summary

Introduction

In a recent paper [1], we performed a detailed study of the phenomenology of a supergravity model of supersymmetry breaking [2, 3], having a metastable de Sitter (dS) vacuum with a tiny (tunable) cosmological constant, independent of the supersymmetry breaking scale. In the simplest case scalar masses are tachyonic which can be avoided, without modifying the main properties of the model, by introducing either a new ‘hidden sector’ field participating in the supersymmetry breaking, similar to the Polonyi field [5], or dilaton dependent matter kinetic terms [1] In both cases, an extra parameter is introduced with a narrow range of values, in order to satisfy all required constraints. All scalar soft masses and trilinear A-terms are generated at the tree-level and are universal under the assumption that matter kinetic terms are independent of the ‘Polonyi’ field, while gaugino masses are generated at the quantum level, via the so-called anomaly mediation contributions [6], and are naturally suppressed compared to the scalar masses It follows that the low energy spectrum is very particular and can be distinguished from other models of supersymmetry breaking and mediation, such as mSUGRA and mAMSB.

Conventions and review of the model
R-parity versus Matter Parity
The model extended with B-L charges
D-term contributions to the scalar soft masses
Conclusions
A Anomaly Cancellation
C Comments on nonzero β
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