Left-Right Symmetric Fermions and Sterile Neutrinos from Complex Split Biquaternions and Bioctonions - INSPIRE

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Left-Right Symmetric Fermions and Sterile Neutrinos from Complex Split Biquaternions and Bioctonions

Aug 4, 2021

20 pages

Published in:

Adv.Appl.Clifford Algebras 33 (2023) 3, 32

Published: May 17, 2023

e-Print:

2108.01858 [hep-ph]

DOI:

10.1007/s00006-023-01278-8

View in:

ADS Abstract Service

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Abstract: (Springer)

In this article we investigate the application of complex split biquaternions and bioctonions to the standard model. We show that the Clifford algebras Cl(3) and Cl(7) can be used for making left-right symmetric fermions. Hence we incorporate right-handed neutrinos in the division algebras-based approach to the standard model. The right-handed neutrinos, or sterile neutrinos, are a potential dark-matter candidate. Using the division algebra approach, we discuss the left-right symmetric fermions and their phenomenology. We describe the gauge groups associated with the left-right symmetric model and prospects for unification through division algebras. We briefly discuss the possibility of obtaining three generations of fermions and charge/mass ratios through the exceptional Jordan algebra

J_3(O)

and the exceptional groups

F_4

and

E_6

.

Note:

20 pages, 2 figures, accepted for publication in Advances in Applied Clifford algebras

neutrino: right-handed
neutrino: sterile
algebra: Jordan
algebra: Clifford
dark matter: potential
group: exceptional
left-right
mass ratio
gravitation

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