The Fayet-Iliopoulos D-term and its renormalisation in the MSSM

Abstract

We consider the renormalisation of the Fayet-Iliopoulos D-term in a softly-broken supersymmetric gauge theory with a non-simple gauge group containing an abelian factor, and present the associated beta-function through three loops. We also include in an appendix the result for several abelian factors. We specialise to the case of the minimal supersymmetric standard model (MSSM), and investigate the behaviour of the Fayet-Iliopoulos coupling for various boundary conditions at the unification scale. We focus particularly on the case of non-standard soft supersymmetry breaking couplings, for which the Fayet-Iliopoulos coupling evolves significantly between the unification scale and the weak scale.

18 pages, Revtex, 2 figures. Expanded version including general results for gauge groups with several abelian factors. Minor typos corrected

References in corpus (14)

• Phenomenological consequences of supersymmetry with anomaly-induced masses
• Anomaly mediation in supergravity theories
• Sparticle Masses from the Superconformal Anomaly
• Supernatural Supersymmetry: Phenomenological Implications of Anomaly-Mediated Supersymmetry Breaking
• Heavy Thresholds, Slepton Masses and the $\mu$ Term in Anomaly Mediated Supersymmetry Breaking
• Realistic Anomaly-mediated Supersymmetry Breaking
• Phenomenology of deflected anomaly-mediation
• Soft Supersymmetry Breaking in Deformed Moduli Spaces, Conformal Theories, and N = 2 Yang-Mills Theory
• RG invariant solutions for the soft supersymmetry breaking parameters
• Quasi-infra-red fixed points and renormalisation group invariant trajectories for non-holomorphic soft supersymmetry breaking
• Distinguishing anomaly mediation from gauge mediation with a Wino NLSP
• Renormalisation of the Fayet-Iliopoulos D-term
• The Fayet-Iliopoulos D-term and its renormalisation in softly-broken supersymmetric theories
• Higgs Sector in Anomaly-Mediated Supersymmetry Breaking Scenario

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