SL(2, 7) representations and their relevance to neutrino physics

Abstract The investigation of the rôle of finite groups in flavor physics and, particularly, in the interpretation of the neutrino data has been the subject of intensive research. Motivated by this fact, in this work we derive the three-dimensional unitary representations of the projective linear gr...

Full description

Bibliographic Details
Main Authors:	G. Aliferis, G. K. Leontaris, N. D. Vlachos
Format:	Article
Language:	English
Published:	SpringerOpen 2017-06-01
Series:	European Physical Journal C: Particles and Fields
Online Access:	http://link.springer.com/article/10.1140/epjc/s10052-017-4919-1

id	doaj-ca0c108a0d8e43e9b295f86097c858c1
record_format	Article
spelling	doaj-ca0c108a0d8e43e9b295f86097c858c12020-11-24T23:19:45ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522017-06-0177611110.1140/epjc/s10052-017-4919-1SL(2, 7) representations and their relevance to neutrino physicsG. Aliferis0G. K. Leontaris1N. D. Vlachos2Department of Nuclear and Particle Physics, University of ThessalonikiPhysics Department, University of IoanninaDepartment of Nuclear and Particle Physics, University of ThessalonikiAbstract The investigation of the rôle of finite groups in flavor physics and, particularly, in the interpretation of the neutrino data has been the subject of intensive research. Motivated by this fact, in this work we derive the three-dimensional unitary representations of the projective linear group $$PSL_2(7)$$ P S L 2 ( 7 ) . Based on the observation that the generators of the group exhibit a Latin square pattern, we use available computational packages on discrete algebra to determine the generic properties of the group elements. We present analytical expressions and discuss several examples which reproduce the neutrino mixing angles in accordance with the experimental data.http://link.springer.com/article/10.1140/epjc/s10052-017-4919-1
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	G. Aliferis G. K. Leontaris N. D. Vlachos
spellingShingle	G. Aliferis G. K. Leontaris N. D. Vlachos SL(2, 7) representations and their relevance to neutrino physics European Physical Journal C: Particles and Fields
author_facet	G. Aliferis G. K. Leontaris N. D. Vlachos
author_sort	G. Aliferis
title	SL(2, 7) representations and their relevance to neutrino physics
title_short	SL(2, 7) representations and their relevance to neutrino physics
title_full	SL(2, 7) representations and their relevance to neutrino physics
title_fullStr	SL(2, 7) representations and their relevance to neutrino physics
title_full_unstemmed	SL(2, 7) representations and their relevance to neutrino physics
title_sort	sl(2, 7) representations and their relevance to neutrino physics
publisher	SpringerOpen
series	European Physical Journal C: Particles and Fields
issn	1434-6044 1434-6052
publishDate	2017-06-01
description	Abstract The investigation of the rôle of finite groups in flavor physics and, particularly, in the interpretation of the neutrino data has been the subject of intensive research. Motivated by this fact, in this work we derive the three-dimensional unitary representations of the projective linear group $$PSL_2(7)$$ P S L 2 ( 7 ) . Based on the observation that the generators of the group exhibit a Latin square pattern, we use available computational packages on discrete algebra to determine the generic properties of the group elements. We present analytical expressions and discuss several examples which reproduce the neutrino mixing angles in accordance with the experimental data.
url	http://link.springer.com/article/10.1140/epjc/s10052-017-4919-1
work_keys_str_mv	AT galiferis sl27representationsandtheirrelevancetoneutrinophysics AT gkleontaris sl27representationsandtheirrelevancetoneutrinophysics AT ndvlachos sl27representationsandtheirrelevancetoneutrinophysics
_version_	1725577127593508864

SL(2, 7) representations and their relevance to neutrino physics

Similar Items