Abstract
We first show that the rotating mass matrix hypothesis suggested earlier, where the massive eigenvector of a rank-one mass matrix changes with renormalisation scale, is consistent with the latest experimental data on fermion mass hierarchy and mixing, including the CP violating KM phase. We obtain thereby a smooth trajectory for the massive eigenvector as a function of the scale. Using this trajectory we next study Higgs decay and find suppression of \(\varGamma(H\rightarrow c\bar{c})\) compared to the standard model predictions for a range of Higgs masses. We also give limits for flavour-violating decays, including a relatively large branching ratio for the τ − μ + mode.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
H. Fritzsch, Quark masses and flavor mixing. Nucl. Phys. B 155, 189 (1979)
J. Bordes, H.-M. Chan, J. Faridani, J. Pfaudler, S.T. Tsou, CKM matrix and fermion masses in the dualized standard model. Phys. Rev. D 58, 013004 (1998). arXiv:hep-ph/9712276
J. Bordes, H.-M. Chan, S.T. Tsou, Circumstantial evidence for rotating mass matrix from fermion mass and mixing data. Eur. Phys. J. C 27, 189 (2003). arXiv:hep-ph/0203124
J. Bordes, H.-M. Chan, S.T. Tsou, A solution of the strong CP problem transforming the theta-angle to the KM CP-violating phase. Int. J. Math. Phys. A (2010). arXiv:1002.3542 [hep-ph]
J. Bordes, H.-M. Chan, S.T. Tsou, Possible anomalies in Higgs decay: charm suppression and flavour-violation. Eur. Phys. J. C 65, 537 (2010). arXiv:0908.1750 [hep-ph]
H.-M. Chan, S.T. Tsou, A model behind the standard model. Eur. Phys. J. C 52, 635 (2007). arXiv:hep-ph/0611364
S. Weinberg, Perturbative calculations of symmetry breaking. Phys. Rev. D 7, 2887 (1973)
K.J. Le Couteur, The structure of a non-relativistic S-matrix. Proc. R. Soc. Lond. A256, 115 (1960)
R.G. Newton, Structure of the many-channel S matrix. J. Math. Phys. 2, 188 (1961)
J. Bordes, H.-M. Chan, S.T. Tsou, New angle on the strong CP and chiral symmetry problems from a rotating mass matrix. Int. J. Mod. Phys. A 24, 101 (2009). arXiv:0707.3358 [hep-ph]
S. Weinberg, The Quantum Theory of Fields. Modern Applications, vol. 2 (Cambridge University Press, Cambridge, 1996), 489 pp.
C.A. Baker et al., An improved experimental limit on the electric dipole moment of the neutron. Phys. Rev. Lett. 97, 131801 (2006). arXiv:hep-ex/0602020
C. Amsler et al. (Particle Data Group), Review of particle physics. Phys. Lett. B 667, 1 (2008) and 2009 partial update for the 2010 edition
M. Spira, HDECAY version 3.51 (July 2009). Available: http://people.web.psi.ch/spira/proglist.html
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Baker, M.J., Tsun, T.S. The rotating mass matrix, the strong CP problem and Higgs decay. Eur. Phys. J. C 70, 1009–1015 (2010). https://doi.org/10.1140/epjc/s10052-010-1506-0
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjc/s10052-010-1506-0