• Universal theory of weak interactions in the paracharge scheme and quark-lepton analogy

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/005/02/0087-0100

• # Keywords

Paracharge; O5-gauge symmetry; universality; weak-interaction; neutral-current; quark-lepton analogy

• # Abstract

A universal theory of weak interaction is constructed by exploiting an analogy inherent between the four leptons and the four quarks of the paracharge scheme proposed recently to deal with theψ-particles. The leptons (νe,νμ,eL,μL) are assigned to the representation (1/2, 1/2) and the quarks (p, nW)L and (χ,λW)L to the representations (1/2, 0) and (0, 1/2), respectively, of the groupO4 (L stands for the left-handed projections and W for the Cabibbo rotated orthogonal combinations ofn andλ). Universality is ensured by embedding the above (weak)O4 into thesimple groupO5 and gauging the latter. In the final effective weak interaction, besides the conventionalV-A charged-current part, a (V-A)neutral current interaction (consistent with the present data) is naturally present. The neutral current has a$$\bar \nu _\mu \nu _\mu$$ term but no$$\bar \nu _e \nu _e$$ term, thus providing a crucial test of the theory.

• # Author Affiliations

1. Tata Institute of Fundamental Research, Bombay - 400005

• # Pramana – Journal of Physics

Current Issue
Volume 93 | Issue 6
December 2019

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019