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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2011, Volume 272, Pages 29–45
(Mi tm3274)
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This article is cited in 1 scientific paper (total in 1 paper)
Of Higgs, unitarity and other questions
D. Bettinellia, R. Ferraribcd, A. Quadribd a Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Freiburg im Breisgau, Germany
b Istituto Nazionale di Fisica Nucleare, Sez. di Milano, Milano, Italy
c Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, MA, USA
d Dipartimento di Fisica, Universitá degli Studi di Milano, Milano, Italy
Abstract:
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 arecent proposal of an electroweak model based on a nonlinearly realized gauge group $\mathrm{SU}(2)\otimes\mathrm U(1)$, 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.
Received in June 2010
Citation:
D. Bettinelli, R. Ferrari, A. Quadri, “Of Higgs, unitarity and other questions”, Problems of modern theoretical and mathematical physics: Gauge theories and superstrings, Collected papers. Dedicated to Academician Andrei Alekseevich Slavnov on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 272, MAIK Nauka/Interperiodica, Moscow, 2011, 29–45; Proc. Steklov Inst. Math., 272 (2011), 22–38
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https://www.mathnet.ru/eng/tm3274 https://www.mathnet.ru/eng/tm/v272/p29
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