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Semisimple extensions of the Standard Model gauge algebra

Published version
Peer-reviewed

Type

Article

Change log

Authors

Allanach, BC 
Tooby-Smith, J 

Abstract

We show how one may classify all semisimple algebras containing the su(3) su(2) u(1) symmetry of the Standard Model and acting on some given matter sector, enabling theories beyond the Standard Model with unification (partial or total) of symmetries (gauge or global) to be cataloged. With just a single generation of Standard Model fermions plus a singlet neutrino, the only gauge symmetries correspond to the well-known algebras su(5), so(10), and su(4) su(2) su(2), but with two or more generations a limited number of exotic symmetries mixing flavor, color, and electroweak degrees of freedom become possible. We provide a complete catalog in the case of three generations or fewer and outline how our method generalizes to cases with additional matter.

Description

Keywords

5106 Nuclear and Plasma Physics, 5107 Particle and High Energy Physics, 51 Physical Sciences

Journal Title

Physical Review D

Conference Name

Journal ISSN

2470-0010
2470-0029

Volume Title

104

Publisher

American Physical Society (APS)
Sponsorship
Science and Technology Facilities Council (ST/P000681/1)
Science and Technology Facilities Council (ST/S505316/1)
STFC (ST/T000694/1)