Of Higgs, Unitarity and Other Questions
Author(s)Bettinelli, Daniele; Ferrari, Ruggero; Quadri, Andrea
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On the verge of conclusive checks on the Standard Model by the LHC, we discuss some of the basic assumptions. The reason for this analysis stems from a recent proposal of an electroweak model based on a nonlinearly realized gauge group SU(2) ⊗ U(1), where, in the perturbative approximation, there is no Higgs boson. The model enjoys the Slavnov-Taylor identities and therefore the perturbative unitarity. On the other hand, it is commonly believed that the existence of the Higgs boson is entangled with the property of unitarity, when high energy processes are considered. The argument is based mostly on the Froissart bound and on the equivalence theorem. In this paper we briefly review some of our objections to the validity of such arguments. Some open questions are pointed out, in particular on the limit of zero mass for the vector mesons and on the fate of the longitudinal polarizations.
March 13, 2011
DepartmentMassachusetts Institute of Technology. Center for Theoretical Physics; Massachusetts Institute of Technology. Department of Physics; Massachusetts Institute of Technology. Laboratory for Nuclear Science
Proceedings of the Steklov Institute of Mathematics
Bettinelli, D., R. Ferrari, and A. Quadri. “Of Higgs, Unitarity and Other Questions.” Proceedings of the Steklov Institute of Mathematics 272.1 (2011): 22–38.
Author's final manuscript