Gaugino Mass without Singlets

Gaugino Mass without Singlets

February 1, 2008 | Gian F. Giudice, Markus A. Luty, Hitoshi Murayama, and Riccardo Rattazzi
This paper investigates the origin of gaugino masses in models with dynamical supersymmetry breaking in the hidden sector, without the need for gauge singlets. It shows that gaugino masses arise from a quantum contribution related to the superconformal anomaly. This contribution is always present, even in the absence of gauge singlets, and is given by $ m_{\lambda} = \frac{\beta(g^2)}{2g^2}m_{3/2} $, where $ \beta(g^2) $ is the gauge beta function. This result 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, and thus do not satisfy the usual GUT relations. The paper also shows that A-terms are proportional to the anomalous dimension of the corresponding Yukawa coupling. The results are derived using explicit calculations, general operator analysis, and the conformal anomaly multiplet. The paper discusses the phenomenological consequences of these results, including the implications for the electroweak scale, the mu problem, and the nature of the lightest supersymmetric particle (LSP). It also addresses the issue of scalar masses and their relation to the gravitino mass, and the implications for dark matter and cosmology. The paper concludes that the results are valid in any model and that the contribution from the conformal anomaly is the dominant one in particular classes of models.This paper investigates the origin of gaugino masses in models with dynamical supersymmetry breaking in the hidden sector, without the need for gauge singlets. It shows that gaugino masses arise from a quantum contribution related to the superconformal anomaly. This contribution is always present, even in the absence of gauge singlets, and is given by $ m_{\lambda} = \frac{\beta(g^2)}{2g^2}m_{3/2} $, where $ \beta(g^2) $ is the gauge beta function. This result 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, and thus do not satisfy the usual GUT relations. The paper also shows that A-terms are proportional to the anomalous dimension of the corresponding Yukawa coupling. The results are derived using explicit calculations, general operator analysis, and the conformal anomaly multiplet. The paper discusses the phenomenological consequences of these results, including the implications for the electroweak scale, the mu problem, and the nature of the lightest supersymmetric particle (LSP). It also addresses the issue of scalar masses and their relation to the gravitino mass, and the implications for dark matter and cosmology. The paper concludes that the results are valid in any model and that the contribution from the conformal anomaly is the dominant one in particular classes of models.
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