According to the documentary Particle Fever, the precise value of the Higgs boson's mass could give more credence to either SUSY or multiverse theories. If the mass had been 115 GeV or below SUSY would have been favored, whereas a mass above 140 GeV would have given preference to multiverse.

Is there a way to understand this connection? How can the mass of a particle give input to the likelihood of a particular physical theory, (and/or in particular the two discussed here}?

I'm especially interested in a graduate-level but qualitative explanation, though any level would be great.

Note: a Physics.SE question discusses Higgs, SUSY, and multiverse, but does not give an explanatory answer for the connection.

According to the documentary Particle Fever, the precise value of the Higgs boson's mass could give more credence to either SUSY or multiverse theories. If the mass had been 115 GeV or below SUSY would have been favored, whereas a mass above 140 GeV would have given preference to multiverse.

Is there a way to understand this connection? How can the mass of a particle give input to the likelihood of a particular physical theory, (and/or in particular the two discussed here}?

I'm especially interested in a graduate-level but qualitative explanation, though any level would be great.

Note: a Physics.SE question discusses Higgs, SUSY, and multiverse, but does not give an explanatory answer for the connection.