Abstract
A novel realization of the gravity-mediated SUSY breaking is presented taking into account a continuous global R symmetry. Consistently with it, we employ a linear superpotential for the hidden sector superfield and a Kaehler potential parameterizing the SU(1,1)/U(1) Kaehler manifold with constant curvature -1/2. The classical vacuum energy vanishes without unnatural fine tuning and non-vanishing soft SUSY-breaking parameters, of the order of the gravitino mass, arise. A solution to the mu problem of MSSM may be also achieved by conveniently applying the Giudice-Masiero mechanism. The potentially troublesome R axion may acquire acceptably large mass by explicitly breaking the R symmetry in the Kaehler potential through a quartic term which does not affect, though, the achievements above.
Highlights
Still undiscovered, supersymmetry (SUSY) remains one of the most plausible, well-motivated, and natural candidates for the evolution of particle physics beyond the Standard Model (SM)
According to an elegant and extensively adopted paradigm, SUSY is spontaneously broken by the vacuum expectation values (VEVs) of a set of chiral fields which form a “hidden sector” [1] connecting with the observable sector mostly through gravitational-strength interactions, including the effects of supergravity (SUGRA)
One of the key ingredients for the successful implementation of this scenario is the determination of a realistic vacuum for the relevant SUGRA potential with a naturally vanishing or, at least, tunably small cosmological constant
Summary
Supersymmetry (SUSY) remains one of the most plausible, well-motivated, and natural candidates for the evolution of particle physics beyond the Standard Model (SM). Contrary to that case [13], the gravitino, G , mass is clearly determined at the tree level and the soft SUSY-breaking (SSB) parameters [14] can readily acquire adjustable, nonzero values of the order of Gmass. We exemplify these effects, linking the hidden sector to a generic SUSY model and the minimal supersymmetric SM (MSSM). A spontaneously broken continuous and global R symmetry implies an (pseudo) Nambu-Goldstone boson, the R axion [6,16]—as in the case of Peccei-Quinn symmetry [17]—which is cosmologically dangerous To avoid this effect, we introduce a quartic term, inspired by Ref. Stated, we use units where the reduced Planck mass mP 1⁄4 2.433 × 1018 GeV is taken to be unity and charge conjugation is denoted by a bar
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