February 1, 2008 | Gian F. Giudice†, Markus A. Luty‡, Hitoshi Murayama**, and Riccardo Rattazzi†
The paper discusses the gaugino masses in models with dynamical supersymmetry breaking in the hidden sector, where the observable sector does not contain gauge singlets. It is commonly believed that in such models, gaugino masses are extremely suppressed (below 1 keV) unless there are specific couplings to gauge singlets. However, the authors point out that there is a pure supergravity contribution to gaugino masses at the quantum level arising from the superconformal anomaly. This contribution is valid to all orders in perturbation theory and is related to the 'exact' beta functions for soft terms. The gaugino masses are proportional to the corresponding gauge beta functions, which does not satisfy the usual GUT relations.
The paper also shows that the $A$-terms are proportional to the beta function of the corresponding Yukawa coupling. These results have interesting phenomenological consequences, such as the gaugino mass ratios being given by ratios of beta functions rather than the usual unified relation. The authors discuss the implications of these findings for the phenomenology of SUSY breaking, including the $\mu$ problem and the cosmological implications of the absence of light gauge singlet fields.
The paper concludes with a discussion of the cosmological advantages of the theories discussed, such as the absence of the cosmological Polonyi problem.The paper discusses the gaugino masses in models with dynamical supersymmetry breaking in the hidden sector, where the observable sector does not contain gauge singlets. It is commonly believed that in such models, gaugino masses are extremely suppressed (below 1 keV) unless there are specific couplings to gauge singlets. However, the authors point out that there is a pure supergravity contribution to gaugino masses at the quantum level arising from the superconformal anomaly. This contribution is valid to all orders in perturbation theory and is related to the 'exact' beta functions for soft terms. The gaugino masses are proportional to the corresponding gauge beta functions, which does not satisfy the usual GUT relations.
The paper also shows that the $A$-terms are proportional to the beta function of the corresponding Yukawa coupling. These results have interesting phenomenological consequences, such as the gaugino mass ratios being given by ratios of beta functions rather than the usual unified relation. The authors discuss the implications of these findings for the phenomenology of SUSY breaking, including the $\mu$ problem and the cosmological implications of the absence of light gauge singlet fields.
The paper concludes with a discussion of the cosmological advantages of the theories discussed, such as the absence of the cosmological Polonyi problem.