Fermion masses from symmetry
(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.
(Less)
- author
- Bijnens, J. LU and Wetterich, C.
- publishing date
- 1987
- 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}}, }