Debajyoti Choudhury, Rashidul Islam, Anirban Kundu, Biswarup Mukhopadhyaya
Recent data on the production and decay of the Higgs boson suggest that, for a good fit to the various decay channels, deviations from the Standard Model (SM) values of the Higgs coupling with $t\bar{t}$, $W^+W^-$, and $ZZ$ are indicated. While this itself is hardly a proof of any beyond-SM physics right now, and while the data can very well change in near future, this opens up an interesting avenue to explore regarding unitarity of gauge boson scattering and the stability of the electroweak vacuum in the presence of anomalous couplings. We show that for some benchmark points, touted as the best-fit points in the literature, unitarity in gauge boson scattering breaks down between 1 and 10 TeV. We also show that if there are no new light degrees of freedom, the Higgs quartic coupling becomes negative at around the same point, making the electroweak vacuum unstable. Thus, some new ultraviolet completing new physics is demanded at that scale to cancel both these anomalous behaviours.
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http://arxiv.org/abs/1212.4652
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