Spontaneous mass generation and the small dimensions of the Standard Model gauge groups U(1), SU(2) and SU(3)

The gauge symmetry of the Standard Model is SU(3)c×SU(2)L×U(1)Y for unknown reasons. One aspect that can be addressed is the low dimensionality of all its subgroups. Why not much larger groups like SU(7), or for that matter, SP(38) or E7? We observe that fermions charged under large groups acquire m...

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Main Authors: Guillermo García Fernández, Jesús Guerrero Rojas, Felipe J. Llanes-Estrada
Format: Article
Language:English
Published: Elsevier 2017-02-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321316303960
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spelling doaj-13d4434bf76b4f388f10117e65b570ac2020-11-25T00:06:32ZengElsevierNuclear Physics B0550-32131873-15622017-02-01915C26228410.1016/j.nuclphysb.2016.12.010Spontaneous mass generation and the small dimensions of the Standard Model gauge groups U(1), SU(2) and SU(3)Guillermo García FernándezJesús Guerrero RojasFelipe J. Llanes-EstradaThe gauge symmetry of the Standard Model is SU(3)c×SU(2)L×U(1)Y for unknown reasons. One aspect that can be addressed is the low dimensionality of all its subgroups. Why not much larger groups like SU(7), or for that matter, SP(38) or E7? We observe that fermions charged under large groups acquire much bigger dynamical masses, all things being equal at a high e.g. GUT scale, than ordinary quarks. Should such multicharged fermions exist, they are too heavy to be observed today and have either decayed early on (if they couple to the rest of the Standard Model) or become reliquial dark matter (if they don't). The result follows from strong antiscreening of the running coupling for those larger groups (with an appropriately small number of flavors) together with scaling properties of the Dyson–Schwinger equation for the fermion mass.http://www.sciencedirect.com/science/article/pii/S0550321316303960
collection DOAJ
language English
format Article
sources DOAJ
author Guillermo García Fernández
Jesús Guerrero Rojas
Felipe J. Llanes-Estrada
spellingShingle Guillermo García Fernández
Jesús Guerrero Rojas
Felipe J. Llanes-Estrada
Spontaneous mass generation and the small dimensions of the Standard Model gauge groups U(1), SU(2) and SU(3)
Nuclear Physics B
author_facet Guillermo García Fernández
Jesús Guerrero Rojas
Felipe J. Llanes-Estrada
author_sort Guillermo García Fernández
title Spontaneous mass generation and the small dimensions of the Standard Model gauge groups U(1), SU(2) and SU(3)
title_short Spontaneous mass generation and the small dimensions of the Standard Model gauge groups U(1), SU(2) and SU(3)
title_full Spontaneous mass generation and the small dimensions of the Standard Model gauge groups U(1), SU(2) and SU(3)
title_fullStr Spontaneous mass generation and the small dimensions of the Standard Model gauge groups U(1), SU(2) and SU(3)
title_full_unstemmed Spontaneous mass generation and the small dimensions of the Standard Model gauge groups U(1), SU(2) and SU(3)
title_sort spontaneous mass generation and the small dimensions of the standard model gauge groups u(1), su(2) and su(3)
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
1873-1562
publishDate 2017-02-01
description The gauge symmetry of the Standard Model is SU(3)c×SU(2)L×U(1)Y for unknown reasons. One aspect that can be addressed is the low dimensionality of all its subgroups. Why not much larger groups like SU(7), or for that matter, SP(38) or E7? We observe that fermions charged under large groups acquire much bigger dynamical masses, all things being equal at a high e.g. GUT scale, than ordinary quarks. Should such multicharged fermions exist, they are too heavy to be observed today and have either decayed early on (if they couple to the rest of the Standard Model) or become reliquial dark matter (if they don't). The result follows from strong antiscreening of the running coupling for those larger groups (with an appropriately small number of flavors) together with scaling properties of the Dyson–Schwinger equation for the fermion mass.
url http://www.sciencedirect.com/science/article/pii/S0550321316303960
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