Hierarchical structure of fermion masses and mixings
(1987) In Physics Letters B 199(4). p.525-530- Abstract
We examine patterns where ratios of the fermion masses and the W-boson mass (xi= mi mw) are proportional to powers of a small parameter λ(xi=ciλPi). For a simple estimate of the uncertainty in the coefficients ci we determine the allowed values of Pi and the corresponding range of λ. Using this information we search for realistic patterns in a large class of anomaly-free SU(3)×SU(2)×U(1)×U(1) models where λ is related to a symmetry breaking scale and the Pi follow from the quantum numbers. No realistic model is found. In contrast, realistic mass patterns can be induced from an anomalous U(1) symmetry.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/7cd8e3e6-d571-4458-bc60-e699703d267b
- author
- Bijnens, Johan
LU
and Wetterich, Christof
- publishing date
- 1987-12-31
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physics Letters B
- volume
- 199
- issue
- 4
- pages
- 6 pages
- publisher
- Elsevier
- external identifiers
-
- scopus:21544432487
- ISSN
- 0370-2693
- DOI
- 10.1016/0370-2693(87)91621-2
- language
- English
- LU publication?
- no
- id
- 7cd8e3e6-d571-4458-bc60-e699703d267b
- date added to LUP
- 2019-05-03 09:24:54
- date last changed
- 2023-04-09 10:05:11
@article{7cd8e3e6-d571-4458-bc60-e699703d267b, abstract = {{<p>We examine patterns where ratios of the fermion masses and the W-boson mass (x<sub>i</sub>= m<sub>i</sub> m<sub>w</sub>) are proportional to powers of a small parameter λ(x<sub>i</sub>=c<sub>i</sub>λ<sup>Pi</sup>). For a simple estimate of the uncertainty in the coefficients c<sub>i</sub> we determine the allowed values of P<sub>i</sub> and the corresponding range of λ. Using this information we search for realistic patterns in a large class of anomaly-free SU(3)×SU(2)×U(1)×U(1) models where λ is related to a symmetry breaking scale and the P<sub>i</sub> follow from the quantum numbers. No realistic model is found. In contrast, realistic mass patterns can be induced from an anomalous U(1) symmetry.</p>}}, author = {{Bijnens, Johan and Wetterich, Christof}}, issn = {{0370-2693}}, language = {{eng}}, month = {{12}}, number = {{4}}, pages = {{525--530}}, publisher = {{Elsevier}}, series = {{Physics Letters B}}, title = {{Hierarchical structure of fermion masses and mixings}}, url = {{http://dx.doi.org/10.1016/0370-2693(87)91621-2}}, doi = {{10.1016/0370-2693(87)91621-2}}, volume = {{199}}, year = {{1987}}, }