Wei Chao, Matthew Gonderinger, Michael J. Ramsey-Musolf
Recent results from ATLAS and CMS point to a preferred narrow Higgs mass range $M_H\in[ 124, 126] {\rm GeV}$. Such a Higgs mass immediately points to new physics beyond the Standard Model (SM) because of the resultant vacuum stability problem, i.e., the SM Higgs quartic coupling will run to negative values at a scale between ${\cal O}(10^9)$ and ${\cal O}(10^{11}) {\rm GeV}$. We study representative minimal extensions of the SM that can keep the SM Higgs vacuum stable to the Planck scale by introducing new scalar or fermion interactions at the TeV scale while solving other phenomenological problems. In particular, we consider the type-II seesaw model, which is introduced to explain the non-zero Majorana masses of the active neutrinos. Similarly, we observe that if the stability of the SM Higgs vacuum is ensured by the running of the gauge sector couplings, then one may require a series of new electroweak multiplets, the neutral component of which can be cold dark matter candidate. Stability may also point to a new U(1) gauge symmetry, in which the SM Higgs carries non-zero charge.
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http://arxiv.org/abs/1210.0491
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