Can we explain why leptonic electroweak interactions are chiral?
1 Electrical Engineering Department, Federal University of Parana (UFPR) - C.P. 19011 Curitiba, 81.531-970 PR, Brazil
2 Instituto de Física “Gleb Wataghin”, Universidade Estadual de Campinas (UNICAMP) - C.P. 6165, Campinas 13.083-970 SP, Brazil
Received: 18 December 2012
Accepted: 11 February 2013
One of the fundamental ingredients in the standard model of electroweak interactions between fundamental particles is chirality. Currently there are no hints about why nature has chosen the chiral way. The answer to such a fundamental question could be the extension of the whole theory to the superluminal sector of the Lorentz-Poincaré group. Restricting ourselves to leptons, we postulate that the neutrinos are a priori described by a tachyonic Dirac Lagrangian. It could provide a simple explanation for the parity violation in weak interactions and why electroweak theory has a chiral aspect, leading to invariance under a SUL(2) × UY (1) gauge group. Right-handed neutrino becomes sterile and decoupled from the other particles quite naturally.
PACS: 11.15.-q – Gauge field theories / 11.10.-z – Field theory / 03.70.+k – Theory of quantized fields
© EPLA, 2013