Neutrino masses, mixing and oscillations

Abstract

Non-abelian gauge theories may have continuum limits in more than four dimensions, supported by non-trivial ultra-violet fixed points. Moreover, such theories can be expected to be accessible to Wilson's epsilon expansion. We investigate this series for SU(N ) Yang-Mills, in particular for the fixed point coupling and exponent ν, up to four loops. From the model-building point of view, such theories would be effectively perturbatively renormalizable in the normal way. A particularly attractive possibility is the construction of renormalizable extra-dimensional models of the weak interactions, which have the potential to address the full hierarchy problem. The simplest such gauge-Higgs unification model is however ruled out by a combination of theoretical and phenomenological constraints.

Unsolved problems in particle physics

“…The observed deviation from the Standard Model: neutrino oscillations.Let us discuss the unique, well-established in laboratory experiments, evidence in favour of incomleteness of SM, the phenomenon of neutrino oscillations, that is mutual conversion of neutrinos of different generations to each other. A more detailed modern description of the problem may be found in the book[7], in the Appendix to the textbook[4], in reviews[8,9,10] etc.…”

Quantization in relativistic classical mechanics: the Stückelberg equation, neutrino oscillation and large-scale structure of the Universe

“…Phenomenological (V-A) theory of weak interactions has arisen from the two component neutrino theory considered by Landau, Lee, Yang and Salam. Evidence in favour of the Standard Model of weak interaction of Glashow, Weinberg and Salam had been received on a neutrino beam (discovery of neutral currents)" [35]. At the present time, we observe a new phenomenon -neutrino oscillations, which result from temporal evolution of massive neutrinos and indicate new physics beyond the Standard Model.…”

“…It is obvious that, that standard model and pRQM model according to (34)(35) differ in the explicit forms of T j and τ . Therefore, the expression for the survival probability P (ν e → ν e ), obtained in the framework of standard model and pRQM model, will have the next form:…”