Concerning the Landau pole in 3-3-1 models

Abstract

Some 3-3-1 models predict the existence of a non-perturbative regime at the TeV scale. We study in these models, and their supersymmetric extensions, the energy at which the non-perturbative limit and a Landau-like pole arise. An order of magnitude for the mass of the extra neutral vector boson, Z ′ , present in these models is also obtained.

An explicit Z ′-boson explanation of the B → K ∗ μ + μ − anomaly

“…Such large values of M Z are potentially problematic in the 3-3-1 scenario with β = − √ 3, since the Z -boson couplings to fermions will develop a Landau pole at high enough energies. In the original model [18,19] with minimal particle content, the relevant couplings become non-perturbative for energy scales of O(5 TeV), but the turn-on of non-perturbative dynamics can be delayed by suitably enlarging the particle content of the 3-3-1 model [58,59]. To which extend such an UV deformation modifies the physics at low energies is an very interesting question, that is however beyond the scope of the present paper.…”

Unifying the electroweak andB−Linteractions

“…Demanding for integer q yields only q = −2, −1, 0, 1. As a matter of fact, the model presents a low Landau pole of a few TeV for the bounds q = 1 or −2 (see also [12]). …”

Bilepton effects on theWWV*vertex in the 331 model with right-handed neutrinos via aSUL(2)×Ramírez–Zavaleta1, Tavares‐Velasco2, Toscano3 2007Phys. Rev. D23090View full textAdd to dashboardCite

“…First of all, we already mentioned that in the 331 model with right-handed neutrinos the matching of the gauge couplings constants at the SU L (3) × U X (1) breaking scale requires that sin 2 θ W ≤ 3/4 [18], from which an upper bound on the bilepton mass can be derived after considering radiative corrections to sin θ W and the most recent experimental data [42]. The respective bounds is somewhat weak and contrasts with the case of the minimal 331 model, which requires that m Y 1 TeV [16,32,33] for consistency with the theoretical bound sin 2 θ W ≤ 1/4. Therefore, whereas the bileptons predicted by the minimal 331 model could be searched for via collider experiments in a near future, thereby confirming or ruling out the model, the 331 model with right-handed neutrinos would still leave open the door.…”