The LHC has started to constrain supersymmetry-breaking parameters by setting bounds on possible colored particles at the weak scale. Moreover, constraints from Higgs physics, flavor physics, the anomalous magnetic moment of the muon, as well as from searches at LEP and the Tevatron have set additional bounds on these parameters. Renormalization group invariants provide a very useful way of representing the allowed parameter space by making a direct connection with the values of these parameters at the messenger scale. Using a general approach, based on the phenomenological minimal supersymmetric standard model parametrization of the soft supersymmetry-breaking parameters, we analyze the current experimental constraints to determine the probability distributions for the renormalization group invariants. As examples of their application, we use these distributions to analyze the question of gaugino mass unification and to probabilistically determine the parameters of general and minimal gauge mediation with arbitrary Higgs mass parameters at the messenger scale.

• Received 25 June 2012

DOI:https://doi.org/10.1103/PhysRevD.86.075025