Comment on Electroweak Higgs as a Pseudo-Goldstone Boson of Broken Scale
  Invariance
arXiv:0704.1836v1  [hep-ph]  13 Apr 2007
CSULB–PA–07–4
Comment on Electroweak Higgs as a
Pseudo-Goldstone Boson of Broken Scale Invariance
Hitoshi NISHINO1) and Subhash RAJPOOT2)
Department of Physics & Astronomy
California State University
1250 Bellflower Boulevard
Long Beach, CA 90840
Abstract
The first model of Foot, Kobakhidze and Volkas described in their work in
arXiv:0704.1165 [hep-ph] is a tailored version of our model on broken scale invari-
ance in the standard model presented in hep-th/0403039.
1) E-Mail: hnishino@csulb.edu
2) E-Mail: rajpoot@csulb.edu
http://arxiv.org/abs/0704.1836v1
The merits of implementing scale invariance in the standard model of particle interactions
were enunciated by us in [1]. An extended version of this work that also addresses the
important issue of unification of elementary particle interactions will appear in [2]. The
salient features of our model were recently recapitulated in our comment [3].
Here we point out that in the work of Foot, Kobakhidze and Volkas [4] on broken scale
invariance in the standard model, their first model corresponds to a tailored version of our
model.
R. Foot et. al. [4] are fully aware of the fact that scale invariance symmetry can be realised
as a local symmetry,3) in which case breaking it results in an additional neutral gauge boson.
In our work [1] we dubbed this gauge boson the Weylon, named after Herman Weyl [5].
References
[1] H. Nishino and S. Rajpoot, ‘Broken Scale Invariance in the Standard Model’, CSULB-
PA-04-2, hep-th/0403039.
[2] H. Nishino and S. Rajpoot, ‘Standard Model and SU(5) GUT with Local Scale Invariance
and the Weylon’, CSULB-PA-06-4, to appear in CICHEP-II Conference Proceedings,
2006, published by AIP.
[3] H. Nishino and S. Rajpoot, ‘Comment on Shadow and Non-Shadow Extensions of the
Standard Model’, hep-th/0702080.
[4] R. Foot, A. Kobakhidze and R.R. Volkas, ‘Electroweak Higgs as a Pseudo-Goldstone
Boson of Broken Scale Invariance’, arXiv:0704.1165 [hep-ph].
[5] H. Weyl, S.-B. Preuss. Akad. Wiss. 465 (1918); Math. Z. 2 (1918) 384; Ann. Phys. 59
(1919) 101; Raum, Zeit, Materie, vierte erweiterte Auflage: Julius Springer (1921).
3) Cf. Footnote #2 in [4].
