Renormalization group invariants in supersymmetric theories: one- and two-loop results

  • Wim Beenakker
  • Tom van Daal
  • Ronald Kleiss
  • Rob Verheyen
Open Access
Regular Article - Theoretical Physics


We stress the potential usefulness of renormalization group invariants. Especially particular combinations thereof could for instance be used as probes into patterns of supersymmetry breaking in the MSSM at inaccessibly high energies. We search for these renormalization group invariants in two systematic ways: on the one hand by making use of symmetry arguments and on the other by means of a completely automated exhaustive search through a large class of candidate invariants. At the one-loop level, we find all known invariants for the MSSM and in fact several more, and extend our results to the more constrained pMSSM and dMSSM, leading to even more invariants. Extending our search to the two-loop level we find that the number of invariants is considerably reduced.


Renormalization Group Effective field theories 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2015

Authors and Affiliations

  • Wim Beenakker
    • 1
    • 2
  • Tom van Daal
    • 3
    • 4
  • Ronald Kleiss
    • 1
  • Rob Verheyen
    • 1
  1. 1.Institute for Mathematics, Astrophysics and Particle Physics, Faculty of Science, Mailbox 79Radboud University NijmegenNijmegenThe Netherlands
  2. 2.Institute of PhysicsUniversity of AmsterdamAmsterdamThe Netherlands
  3. 3.Department of Physics and AstronomyVU University AmsterdamAmsterdamThe Netherlands
  4. 4.NikhefAmsterdamThe Netherlands

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