Abstract
A recently proposed new mechanism of D-term triggered dynamical supersymmetry breaking is reviewed. Supersymmetry is dynamically broken by nonvanishing D-term vacuum expectation value, which is realized as a nontrivial solution of the gap equation in the self-consistent approximation as in the case of Nambu-Jona-Lasinio model and BCS superconductivity.
Highlights
Supersymmetry (SUSY) is one of the attractive solutions to the hierarchy problem, but it has to be broken spontaneously at low energy because of undiscovered superparticles
Itoyama and the present author [9,10,11] in which the nonvanishing vacuum expectation value (VEV) of D-term is dynamically realized as a nontrivial solution of the gap equation in the self-consistent Hartree-Fock approximation as in the case of Nambu-Jona-Lasinio (NJL) model [12, 13] and BCS superconductivity [14, 15]
The gauge sector is extended to be N = 2 supersymmetric, and gaugino becomes massive by the D-term VEV through the Dirac mass term with N = 2 partner fermion of gaugino
Summary
Supersymmetry (SUSY) is one of the attractive solutions to the hierarchy problem, but it has to be broken spontaneously at low energy because of undiscovered superparticles. The mechanism of dynamical SUSY breaking (DSB) by F-term has been much explored [4,5,6,7,8], models of DSB by D-term were not known. Itoyama and the present author [9,10,11] in which the nonvanishing vacuum expectation value (VEV) of D-term is dynamically realized as a nontrivial solution of the gap equation in the self-consistent Hartree-Fock approximation as in the case of Nambu-Jona-Lasinio (NJL) model [12, 13] and BCS superconductivity [14, 15]. We elaborate upon our treatment of the effective potential with the three kinds of background fields as well as the point of the Hartree-Fock approximation in Refs. Section five will discuss the lifetime of our SUSY breaking vacuum.
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