In this study, we discover a mass space defined by generalized Koide relations, named here as k-relations, and achieve some new symmetric relations. These relations can be further used to predict the fourth-generation quark masses in terms of dilation magnitude and angular rotation ratios in the general mass space. Thus far, no theory has been proposed that can constrain the number of generations of quarks; this theory naturally limits the number of generations of quarks.
| [1] |
D. Atwood, S. K. Gupta, and A. Soni, Detecting fourth generation quarks at Hadron Colliders, J. High Energy Phys. 1206, 105 (2012), arXiv: 1104.3874 [hep-ph]
|
| [2] |
B. Holdom, W. S. Hou, T. Hurth, M. L. Mangano, S. Sultansoy, and G. Unel, Four statements about the fourth generation, PMC Phys. A 3, 4 (2009), arXiv: 0904.4698 [hep-ph]
|
| [3] |
D. Fargion, Yu. A. Golubkov, M. Yu. Khlopov, R. V. Konoplich, and R. Mignani, Possible effects of the existence of the 4th Generation Neutrino, Pisma Zh. Eksp. Teor. Fiz. 69, 402 (1999); JETP Lett. 69, 434 (1999), arXiv: astro-ph/9903086
|
| [4] |
Y. Koide, fermion-boson composite model of quarks and leptons, Phys. Lett. B 120(1-3), 161 (1983)
|
| [5] |
Y. Koide, A new view of quark and lepton mass hierarchy, Phys. Rev. D 28, 252 (1983); Erratum: Phys. Rev. D 29, 1544 (1984)
|
| [6] |
K.A. Olive. (Particle Data Group), Review of Particle Physics, Chin. Phys. C 38 (2014) 090001
|
| [7] |
R. Foot, A note on Koide’s lepton mass relation, arXiv: hep-ph/9402242 (1994)
|
| [8] |
M. S. Chanowitz, Electroweak constraints on the Fourth Generation at two loop order, Phys. Rev. D 88, 015012 (2013), arXiv: 1212.3209 [hep-ph] (and references therein)
|
| [9] |
Z. Chacko, R. Franceschini, and R. K. Mishra, Resonance at 125 GeV: Higgs or dilaton/radion? J. High Energy Phys. 04, 015 (2013), arXiv: 1209.3259 [hep-ph]
|
| [10] |
J. Bulava, K. Jansen, and A. Nagy, Constraining a fourth generation of quarks: Non-perturbative Higgs boson mass bounds, Phys. Lett. B 723(1–3), 95 (2013), arXiv: 1301.3416 [hep-lat]
|
| [11] |
X. G. He and G. Valencia, An extended scalar sector to address the tension between a fourth generation and Higgs searches at the LHC, Phys. Lett. B 707, 381 (2012), arXiv: 1108.0222
|
| [12] |
S. Matsuzaki and K. Yamawaki, Techni-dilaton at 125 GeV, Phys. Rev. D 85, 095020 (2012), arXiv: 1201.4722 [hep-ph]
|
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