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Yang–Mills gauge theory and the Higgs boson family

Ngee-Pong Chang

Ngee-Pong Chang

The Graduate Center, CUNY, New York, NY 10016, USA

E-mail Address: npccc@sci.ccny.cuny.edu

Permanent address: The Graduate Center, CUNY, New York, NY 10016, USA.

Visiting Professor, Institute of Advanced Studies, Nanyang Technological University, Singapore.

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https://doi.org/10.1142/S0217732316300068Cited by:0 (Source: Crossref)

Abstract

The gauge symmetry principles of the Yang–Mills field of 1954 provide the solid rock foundation for the Standard Model of particle physics. To give masses to the quarks and leptons, however, SM calls on the solitary Higgs field using a set of mysterious complex Yukawa coupling matrices.

We enrich the SM by reducing the Yukawa coupling matrices to a single Yukawa coupling constant, and endowing it with a family of Higgs fields that are degenerate in mass.

The recent experimental discovery of the Higgs resonance at 125.09 ± 0.21 GeV does not preclude this possibility. Instead, it presents an opportunity to explore the interference effects in background events at the LHC.

We present a study based on the maximally symmetric Higgs potential in a leading hierarchy scenario.

Talk given at the Conference on 60 Years of Yang–Mills Gauge Field Theories (Nanyang Technological University, Singapore, 25–28 May 2015).

Keywords:

References

1. C. N. Yang and R. L. Mills, Phys. Rev. 96, 191 (1954). Crossref, Web of Science, ADS, Google Scholar
2. S. Glashow, Nucl. Phys. 22, 579 (1961). Crossref, Web of Science, Google Scholar
3. S. Weinberg, Phys. Rev. Lett. 19, 1264 (1967). Crossref, Web of Science, ADS, Google Scholar
4. A. Salam, in Elementary Particle Theory, ed. N. Svartholm (Almqvist and Wiksells, 1969), p. 367. Google Scholar
5. Y. Nambu, Phys. Rev. Lett. 4, 380 (1960). Crossref, Web of Science, ADS, Google Scholar
6. P. W. Higgs, Phys. Lett. 12, 132 (1964); Phys. Rev. Lett. 13, 508 (1964); Phys. Rev. 145, 1156 (1966). Google Scholar
7. R. Englert and R. Brout, Phys. Rev. Lett. 13, 321 (1964). Crossref, Web of Science, ADS, Google Scholar
8. G. S. Guralnik, C. R. Hagen and T. W. B. Kibble, Phys. Rev. Lett. 13, 585 (1964); Adv. Phys. 2, 567 (1967). Google Scholar
9. G. ’t Hooft, Nucl. Phys. B 35, 167 (1971). Crossref, Web of Science, ADS, Google Scholar
10. G. ’t Hooft and M. Veltman, Nucl. Phys. B 44, 189 (1972). Crossref, Web of Science, ADS, Google Scholar
11. L. D. Faddeev and V. N. Popov, Phys. Lett. B 35, 29 (1967). Crossref, Web of Science, ADS, Google Scholar
12. H. Fritzsch and M. Gell-Mann, ICHEP, Chicago (1972), eConf C 720906 v2 p. 135 (1972). Google Scholar
13. D. Gross and F. Wilczek, Phys. Rev. Lett. 30, 1343 (1973). Crossref, Web of Science, ADS, Google Scholar
14. D. Politzer, Phys. Rev. Lett. 30, 1346 (1973). Crossref, Web of Science, ADS, Google Scholar
15. F. Wilczek, Phys. Today 53, 22 (2000). Crossref, Web of Science, Google Scholar
16. M. Lüscher, CERN-TH/2002-321. Google Scholar
17. R. Mohapatra and G. Senjanovic, Phys. Rev. D 23, 165 (1981). Crossref, Web of Science, ADS, Google Scholar
18. N. P. Chang, Int. J. Mod. Phys. A 29, 14444008 (2014); preliminary version presented in N. P. Chang, What if the Higgs has Brothers?, Proc. of the Conf. in Honor of the 90th Birthday of Freeman Dyson (World Scientific, 2014). Google Scholar
19. H. Georgi and S. Weinberg, Phys. Rev. D 17, 275 (1978). Crossref, Web of Science, ADS, Google Scholar
20. ATLAS Collab. (G. Aad et al.), Phys. Lett. B 716, 1 (2012); CMS Collab. (S. Chatrchyan et al.), ibid. 716, 30 (2012); ATLAS Collab. and CMS Collab. (G. Aad et al.), Phys. Rev. Lett. 114, 191803 (2015). Google Scholar