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Fermion masses from symmetry

Bijnens, J. LU orcid and Wetterich, C. (1987) In Nuclear Physics, Section B 283. p.237-267
Abstract

We present a model with continuous or discrete abelian generation group G, which predicts all orders of magnitude for fermion masses ad mixings correctly as a function of only one small parameter φS M ≈ 1 10. Here φS is the scale of G symmetry breaking and M the fundamental mass scale of the theory. No small Yukawa couplings or special choices of the scalar potential are needed. We perform a systematic computerized scan for similar models with abelian generation group and we find a few other examples. However, for a wide range of charges we find no anomaly free continuous symmetry and also none without mixed SU(3) × SU(2) × U(1), U(1)G anomalies consistent with realistic fermion masses if G is broken by... (More)

We present a model with continuous or discrete abelian generation group G, which predicts all orders of magnitude for fermion masses ad mixings correctly as a function of only one small parameter φS M ≈ 1 10. Here φS is the scale of G symmetry breaking and M the fundamental mass scale of the theory. No small Yukawa couplings or special choices of the scalar potential are needed. We perform a systematic computerized scan for similar models with abelian generation group and we find a few other examples. However, for a wide range of charges we find no anomaly free continuous symmetry and also none without mixed SU(3) × SU(2) × U(1), U(1)G anomalies consistent with realistic fermion masses if G is broken by one field with definite charge. We also scan a class of models with generation symmetry derived from a higher dimensional framework.

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author
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publishing date
type
Contribution to journal
publication status
published
subject
in
Nuclear Physics, Section B
volume
283
pages
31 pages
publisher
North-Holland
external identifiers
  • scopus:0010898072
ISSN
0550-3213
DOI
10.1016/0550-3213(87)90271-9
language
English
LU publication?
no
id
190bcb5b-d73f-40c3-9a47-82249ffaadff
date added to LUP
2019-05-03 09:24:25
date last changed
2023-04-09 10:05:11
@article{190bcb5b-d73f-40c3-9a47-82249ffaadff,
  abstract     = {{<p>We present a model with continuous or discrete abelian generation group G, which predicts all orders of magnitude for fermion masses ad mixings correctly as a function of only one small parameter φ<sub>S</sub> M ≈ 1 10. Here φ<sub>S</sub> is the scale of G symmetry breaking and M the fundamental mass scale of the theory. No small Yukawa couplings or special choices of the scalar potential are needed. We perform a systematic computerized scan for similar models with abelian generation group and we find a few other examples. However, for a wide range of charges we find no anomaly free continuous symmetry and also none without mixed SU(3) × SU(2) × U(1), U(1)<sub>G</sub> anomalies consistent with realistic fermion masses if G is broken by one field with definite charge. We also scan a class of models with generation symmetry derived from a higher dimensional framework.</p>}},
  author       = {{Bijnens, J. and Wetterich, C.}},
  issn         = {{0550-3213}},
  language     = {{eng}},
  pages        = {{237--267}},
  publisher    = {{North-Holland}},
  series       = {{Nuclear Physics, Section B}},
  title        = {{Fermion masses from symmetry}},
  url          = {{http://dx.doi.org/10.1016/0550-3213(87)90271-9}},
  doi          = {{10.1016/0550-3213(87)90271-9}},
  volume       = {{283}},
  year         = {{1987}},
}