Mitchell Porter’s answer is very interesting. However, it is also very divergent from what the movie conveyed and the current state of the SUSY vs. Multiverse debate. He uncovers an interesting paper “A Finely-Predicted Higgs Boson Mass from a Finely-Tuned Weak Scale” published in 2009 or four years before the release of the movie. This paper contradicts much of what you will read elsewhere on the topic. The paper advances that SUSY is either consistent or accommodating of Higgs boson mass up to 141 GeV. It also advances that SUSY and Multiverse may not be mutually exclusive, but instead Multiverse may serve as an extension of SUSY.
The paper’s position is in direct contradiction of the one conveyed in the movie and in current debate over the issue. As it currently stands, it appears well accepted that to confirm SUSY in its various forms the Higgs boson mass should come in at close to 115 GeV. It is also advanced by some proponents of Multiverse that if it came in at 140 GeV it would be supportive of Multiverse. Those two outcomes are obviously mutually exclusive. This is why those theories are deemed competitors. That much was explicitly stated by the various particle physicist theorists interviewed in the movie, including: David Kaplan and Savas Dimopoulos, supporters of SUNY (who confirmed the 115 threshold), and Nima Arkani-Hamed, supporter of Multiverse (who confirmed the 140 threshold).
The movie was very well received not only by the public but also the scientific community. Peter Voit, a theoretical physicist, called the movie “fantastically good.” He expressed some reservations regarding the opinions of Arkani-Hamed mentioned later in this writing.
When the discovered boson (still not 100% sure it is actually Higgs) comes in at 125 to 126 GeV, it causes great confusion within the particle physicist theorists community. This is because it essentially confirms both theories are not supported by this finding. In plain English, those theories are wrong. They are not supported by the ample data generated by the Large Hadron Collider (LHC). At the end of the movie, David Kaplan stated that much. Also, near the end another particle physicist supportive of SUSY conveys his genuine despair on the subject to his colleague Savas Dimopoulos. The latter attempts to shore up his colleague’s mood by suggesting how exciting it is to finally uncover the truth after all those decades of research. But, the colleague finds little comfort in finding he has been wrong for decades.
Regarding SUSY, a Higgs boson coming in at 115 GeV would have been consistent with what the Standard Model and SUSY would have predicted (caveat excluding the theory advanced by the mentioned paper). Given it came in much above at 125 to 126, some of the foundation of the Standard Model and SUSY is questionable. The underlying math of those theories will need more adjustments. They already have many of those that question their scientific robustness. Indeed, the Standard Model has numerous major weaknesses. It does not explain gravity (as one of the four forces). It entirely misses out cold dark matter and it overweights dark energy by a very large multiple. The Standard Model has also 19 numerical constants to make the math work that are considered arbitrary. Given that SUSY depends on the Standard Model, it relies on a somewhat tenuous foundation. SUSY has mathematical adjustments of its own that may compound the probability of errors when combined with the 19 somewhat arbitrary constants from the Standard Model. Scientists have advanced that SUSY theory should be abandoned as the LHC has not come up with any supporting evidence of its veracity despite trying hard to do so since 2010 (reference: Natalie Wolchover, November 29, 2012. “Supersymmetry Fails Test, Forcing Physics to Seek New Ideas”. Scientific American).
The Minimal Supersymmetric Standard Model (MSSM) is a recent effort to fully integrate the Standard Model and SUSY. However, it does introduce 120 new parameters. Several of those are deemed less than scientific as they can’t readily be tested. Similarly, the LHC has not generated any supporting evidence for the MSSM. That’s in good part for the simple reason that the Higgs boson came in too heavy at 125 - 126 GeV.
Regarding Multiverse, a Higgs boson coming in at 140 GeV would suggests that at this level all hell breaks loose. Our body of particle physics can’t precisely explain what is going on and needs an entire overhaul. Peter Woit criticized Arkami-Hamed’s linking of the Higgs boson to Multiverse. This is because since Multiverse follows a set of unknown and different physical laws this theory is entirely not testable. In other words, it is a speculation that does not belong to the body of science. And, a Higgs boson threshold of 140 GeV or any other threshold to supposedly support Multiverse is arbitrary by nature.
The scientific method is a self-correcting mechanism. Over time, most everything I have written will be obsolete. Nevertheless, it will still serve as a fair representation of what the movie was about, what it conveyed, and the state of the SUSY vs. Multiverse debate at such time.