Research PaperNo Access

Resolving an ambiguity of Higgs couplings in the FSM, greatly improving thereby the model’s predictive range and prospects

Departament Fisica Teorica and IFIC, Centro Mixto CSIC, Universitat de Valencia, Calle Dr. Moliner 50, Burjassot (Valencia) E-46100, Spain

E-mail Address: [email protected]

Corresponding author.

Search for more papers by this author

Hong-Mo Chan

Rutherford Appleton Laboratory, Chilton, Didcot, Oxon OX11 0QX, UK

E-mail Address: [email protected]

Search for more papers by this author

, and

Sheung Tsun Tsou

Mathematical Institute, University of Oxford, Radcliffe Observatory Quarter, Woodstock Road, Oxford OX2 6GG, UK

E-mail Address: [email protected]

Search for more papers by this author

https://doi.org/10.1142/S0217751X22501676Cited by:3 (Source: Crossref)

View article

Abstract

We show that, after resolving what was thought to be an ambiguity in the Higgs coupling, the FSM gives, apart from two extra terms (i) and (ii) to be specified below, an effective action in the standard sector which has the same form as the SM action, the two differing only in the values of the mass and mixing parameters of quarks and leptons which the SM takes as Γinputs from experiment while the FSM obtains as a result of a fit with a few parameters. Hence, to the accuracy that these two sets of parameters agree in value, and they do to a good extent as shown in earlier work,¹ the FSM should give the same result as the SM in all the circumstances where the latter has been successfully applied, except for the noted modifications due to (i) and (ii). If so, it would be a big step forward for the FSM. The correction terms are: (i) a mixing between the SM’s $γ - Z$ with a new vector boson in the hidden sector, (ii) a mixing between the standard Higgs with a new scalar boson also in the hidden sector. And these have been shown a few years back to lead to (i $^{'}$ ) an enhancement of the W mass over the SM value,² and (ii $^{'}$ ) effects consistent with the $g - 2$ and some other anomalies,³ precisely the two deviations from the SM reported by experiments^4,5 recently much in the news.

Keywords:

PACS: 12.60.Fr, 14.80.Bn

References

1. J. Bordes, H.-M. Chan and S. T. Tsou , Int. J. Mod. Phys. A 30, 1550051 (2015), https://doi.org/10.1142/S0217751X15500517, arXiv:1410.8022. Link, Web of Science, ADS, Google Scholar
2. J. Bordes, H.-M. Chan and S. T. Tsou , Int. J. Mod. Phys. A 33, 1850190 (2018), https://doi.org/217751X18501907, arXiv:1806.08271. Link, Web of Science, ADS, Google Scholar
3. J. Bordes, H.-M. Chan and S. T. Tsou , Int. J. Mod. Phys. A 34, 1950140 (2019), https://doi.org/10.1142/S0217751X19501409, arXiv:1906.09229. Link, Web of Science, ADS, Google Scholar
4. T. Aaltonen et al., Science 376, 170 (2022). Crossref, Web of Science, ADS, Google Scholar
5. Muon g-2 Collaboration ( B. Abi et al.), Phys. Rev. Lett. 126, 141801 (2021), arXiv:2104.03281. Google Scholar
6. H.-M. Chan and S. T. Tsou, Invited Contribution to the “Festschrift for the Yang Centenary”, eds. F. C. Chen et al., to appear, arXiv:2201.12256. Google Scholar
7. J. Bordes, H.-M. Chan and S. T. Tsou , Int. J. Mod. Phys. A 33, 1850195 (2018), https://doi.org/10.1142/S0217751X18501956, arXiv:1806.08268. Link, Web of Science, ADS, Google Scholar
8. J. Bordes, H.-M. Chan and S. T. Tsou , Int. J. Mod. Phys. A 36, 2150236 (2021), arXiv:2107.05420. Link, Web of Science, ADS, Google Scholar
9. A. X. El-Khadra and M. Luke , Annu. Rev. Nucl. Part. Sci. 52, 201 (2002), arXiv:hep-ph/0208114. Crossref, Web of Science, ADS, Google Scholar
10. J. Bordes, H.-M. Chan and S. T. Tsou , Eur. Phys. J. C 65, 537 (2010), arXiv:0908.1750. Crossref, Web of Science, ADS, Google Scholar
11. ATLAS Collaboration, Phys. Lett. B 812, 135980 (2021), arXiv:2007.07830. Crossref, Web of Science, Google Scholar
12. CMS Collaboration, JHEP 1, 148 (2021), arXiv:2009.04363. ADS, Google Scholar
13. Nat. Phys.17, 541 (2021), doi: 10.1038/s41567-021-01251-x. Google Scholar
14. Particle Data Group ( P. A. Zyla et al.), Prog. Theor. Exp. Phys. 2020, 083C01 (2020). Crossref, Google Scholar
15. N. Bezginov, T. Valdez, M. Horbatsch, A. Marsman, A. C. Vutha and E. A. Hessels , Science 365, 1007 (2019). Crossref, Web of Science, ADS, Google Scholar
16. Y.-H. Lin, H.-W. Hammer and U.-G. Meißner , Phys. Rev. Lett. 128, 052002 (2022), arXiv:2109.12961. Crossref, Web of Science, ADS, Google Scholar
17. J. Bordes, H.-M. Chan and S. T. Tsou , Int. J. Mod. Phys. A 33, 1830034 (2018), https://doi.org/10.1142/S0217751X1830034X, arXiv:1812.05373. Link, Web of Science, ADS, Google Scholar