Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Hierarchical structure of fermion masses and mixings

Bijnens, Johan LU orcid and Wetterich, Christof (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:
author
and
publishing date
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}},
}