Strong dynamics behind the formation of the 125 GeV Higgs boson

Abstract

We consider the scenario, in which the new strong dynamics is responsible for the formation of the 125 GeV Higgs boson. The Higgs boson appears as composed of all known quarks and leptons of the Standard Model. The description of the mentioned strong dynamics is given using the ζ -regularization. It allows to construct the effective theory without ultraviolet divergences, in which the 1/Nc expansion works naturally. It is shown, that in the leading order of the 1/Nc expansion the mass of the composite h -boson is given by M h = mt/ √ 2 ≈ 125 GeV, where mt is the top -quark mass.PACS numbers: I. INTRODUCTIONIn the present paper we suggest the scenario, in which the recently discovered 125 GeV h -boson [1, 2] is composite. According to the suggested model it is composed of all fermions of the Standard Model (SM). The scale of the hidden strong dynamics is supposed to be of the order of several TeV. We suppose, that the W and Z boson masses are determined by the condensate of the 125 GeV h -boson according to the Higgs mechanism [3,4]. All Dirac fermion masses are determined by the h -boson as well. In the present paper we do not consider the Majorana masses at all and assume, that neutrinos have extremely small Dirac masses [5]. The low energy effective theory contains the fourfermion interaction [8] between all SM fermions. Our model differs from the conventional models with four -fermion interactions [6], in which the top quark is condensed. The model of top -quark condensation was first suggested in [7] (and developed later in [9][10][11][12][13]). The idea, that the Higgs boson may be composed of the known SM fermions was discussed even earlier, in [14], together with the certain preon models (however, in [14] there was no emphasis in the dominating role of the top quark and the compositeness of the Higgs boson was considered together with the compositeness of quarks and leptons). There are two main aspects, in which the model discussed in the present paper differs from the conventional models of top -quark condensation:1. The four -fermion interaction is non -local. It contains the form -factors G that correspond to the interaction between the composite Higgs boson and the pair fermion -antifermion. The formfactors depend on three scalar parameters of the dimension of mass squared: q 2 , p 2 , k 2 , where p and k are the 4 -momenta of the fermion and anti -fermion while q = p − k is the 4 -momentum of the composite scalar boson. G(p, k) = g(q 2 , p 2 , k 2 ) are different for different fermions at large distances (both time -like and space -like), i.e. if at least one of the quantities |q 2 |, |p 2 |, |k 2 | is much smaller, than the Electroweak scale M Z ≈ 90 GeV. However, at small space -like and time -like distances (i.e. for |q 2 | ∼ |p 2 | ∼ |k 2 | ∼ M 2 Z ) those form -factors become equal for all SM fermions. Unlike for the other fermions the mentioned form -factor for the top -quark is assumed to be independent of momenta. 2. Our model with the four -fermion interaction is not renormalizable. Therefo...

Guises and disguises of quadratic divergences

“…An alternative to the Veltman condition would be the compositeness of the Higgs particle by a strong infrared dynamics, forming a fermionic bound state, which at high energy breaks into its elementary fermionic constituents and, hence, quadratic divergences would be absent [11].…”

Scalar excitation with Leggett frequency inHe3−Band the 125 GeV Higgs particle in top quark condensation models as pseudo-Goldstone bosons

“…4.2.). The NJL models in zeta regularization were considered, in [36,37]. The NJL model in dimensional regularization was considered, for example, in [38].…”

“…We suppose, that such an effective model appears as an approximation to a certain unknown renormalizable microscopic theory. For the further discussion of this issue see [14,16,37] and references therein.…”

Schwinger–Dyson equation and NJL approximation in massive gauge theory with fermions

“…4.2.). The NJL models in zeta regularization were considered, for example, in [16,17]. The NJL model in dimensional regularization was considered in [18].…”