Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-08-05
Phys.Rev.D76:125009,2007
Physics
High Energy Physics
High Energy Physics - Theory
27 pages, 11 figures, journal reference added, minor modifications in the text
Scientific paper
10.1103/PhysRevD.76.125009
We consider an N=2 supersymmetric SU(2) \times U(1) gauge theory with N_f=2 massless flavors and a Fayet-Iliopoulos (FI) term. In the presence of the FI term, supersymmetry is spontaneously broken at tree level (on the Coulomb branch), leaving a pseudo-flat direction in the classical potential. This vacuum degeneracy is removed once quantum corrections are taken into account. Due to the SU(2) gauge dynamics, the effective potential exhibits a local minimum at the dyon point, where not only supersymmetry but also U(1)_R symmetry is broken, while a supersymmetric vacuum would be realized toward infinity with the runaway behavior of the potential. This local minimum is found to be parametrically long-lived. Interestingly, from a phenomenological point of view, in this meta-stable vacuum the massive hypermultiplets inherent in the theory play the role of the messenger fields in the gauge mediation scenario, when the Standard Model gauge group is embedded into their flavor symmetry.
Arai Masato
Montonen Claus
Okada Nobuchika
Sasaki Shin
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