Electroweak Theory Without Higgs Bosons

Abstract

A perturbative SU (2) L × U (1) Y electroweak theory containing W , Z, photon, ghost, lepton and quark fields, but no Higgs or other fields, gives masses to W , Z and the non-neutrino fermions by means of an unconventional choice for the unperturbed Lagrangian and a novel method of renormalisation. The renormalisation extends to all orders. The masses emerge on renormalisation to one loop. To one loop the neutrinos are massless, the A ↔ Z transition drops out of the theory, the d quark is unstable and S-matrix elements are independent of the gauge parameter ξ.

A Generalized Higgs Model.

“…Clearly the entropy, temperature and so on cannot occur from both the vector 2 and the partition function, perhaps a suitable partition function for the present model might allow both to be identified. An approach which dispenses with Higgs fields is that of Nicholson and Kennedy (2000) [9], another approach which involves gravity is that of Kakushadze and Langfelder (2000) [10].…”