On the standard model and parity conservation

Abstract

Motivated by the theoretical paradox between the parity-violating gauge symmetries of the standard model and the fundamental regulator, we propose that the extension of the standard model to the high-energy region should be made by adding effective high-dimension operators whose dynamics gives an infrared scaling region, where not only the standard model appears as an asymptotic chiral-gauge theory, but also vectorlike one-particle-irreducible functions are induced to describe ``new physics''. We formulate the standard model on a lattice by introducing a right-handed neutrino and a sterile left-handed neutrino to form the high-dimension operators. Analyzing spectra and one-particle-irreducible functions induced by these high-dimension operators, we find that in the low-energy region, the parity-violating standard model is consistently defined, while the parity-conservation gauge-symmetry is restored in the high-energy region.