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Supersymmetric Unified Theories

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  • First Online:
Concise Encyclopedia of Supersymmetry

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The N = 1 supersymmetric Grand Unified Theories (GUTs) which can be made finite even to all-loop orders, including the soft supersymmetry breaking sector. The method to construct GUTs with reduced independent parameters [1,2] consists of searching for renormalization group invariant (RGI) relations holding below the Planck scale, which in turn are preserved down to the GUT scale. Of particular interest is the possibility to find RGI relations among couplings that guarantee finiteness to all-orders in perturbation theory [3,4]. In order to achieve the latter it is enough to study the uniqueness of the solutions to the one-loop finiteness conditions [3,4]. The constructed finite unified N = 1 supersymmetric SU(5) GUTs using the above tools, predicted correctly from the dimensionless sector ( Gauge-Yukawa unification ), among others, the top quark mass [5]. The search for RGI relations has been extended to the...

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Editor information

Editors and Affiliations

  1. Kharkov State University, Kharkov, Ukraine

    Steven Duplij

  2. State University of NY-SUNY, New York, USA

    Warren Siegel

  3. Johns Hopkins University, Baltimore, USA

    Jonathan Bagger

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Lozano, Y. et al. (2004). Supersymmetric Unified Theories. In: Duplij, S., Siegel, W., Bagger, J. (eds) Concise Encyclopedia of Supersymmetry. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4522-0_614

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