A Particle Physics Model without Higgs

Abstract

In this work, we describe the construction of a particle physics model where chiral symmetry, broken at the
UV scale by “irrelevant” d > 4 operators, is recovered at low energy. In the critical, chiral symmetric theory,
masses of elementary degrees of freedom are generated by a peculiar nonperturbative field-theoretical
mechanism and not as in the Higgs scenario. Consistency of mass formulae with phenomenology requires
the existence of a new sector of superstrongly interacting particles (denoted by Tera-particles), gauge invariantly
coupled to Standard Model matter, living at an energy scale, ΛT, of the order of a few TeVs.
We give the expression of the full Lagrangian of a model encompassing quarks, Tera-quarks and W, as
well as leptons, Tera-leptons, and B gauge bosons when, besides strong, there are Tera-strong and weak
interactions, and also hypercharge is included.We prove that, upon integrating out the (heavy) Tera-DoFs,
the resulting low-energy effective Lagrangian of the critical model essentially coincides with the Standard
Model Lagrangian. This implies that the present model passes all the precision tests that the Standard
Model is able to pass. There are a number of good reasons for considering speculative and unorthodox
theories of this kind. First of all, unlike the Standard Model, in this scenario masses are not free parameters
but are determined by the dynamics of the theory. Secondly, we have a physical understanding of the origin
of the electroweak scale as the scale of a new interaction. Thirdly, we envisage a solution to the strong
CP problem, and last but not least, the Higgs mass tuning problem does not even arise because there is no
fundamental Higgs.