Abstract
We determined the quark mass matrix in terms of a small expansion parameter \(\sqrt \varepsilon \), which gives correctly all the quark masses and the Cabibbo-Kobayashi-Maskawa (CKM) matrix elements on the electroweak (EW) scale, and we obtained a progenitor form at the grand unified theory (GUT) scale by running the EW scale mass matrix. Finally, a possible texture form for the progenitor quark mass matrix is suggested.
Similar content being viewed by others
References
N. Cabibbo, Phys. Rev. Lett. 10, 531 (1963).
M. Kobayashi and T. Maskawa, Prog. Theor. Phys. 49, 652 (1973).
B. Pontecorvo, Sov. Phys. JETP 6, 429 (1957)
B. Pontecorvo, Zh. Eksp. Teor. Fiz. 33, 549 (1957).
Z. Maki, M. Nakagawa and S. Sakata, Prog. Theor. Phys. 28, 870 (1962).
B. Pontecorvo, Phys. JETP 26, 984 (1968)
B. Pontecorvo, Zh. Eksp. Teor. Fiz. 53, 1717 (1967).
P. H. Frampton and J. E. Kim, J. Korean Phys. Soc. 76, 695 (2020).
M. Gell-Mann, R. J. Oakes and B. Renner, Phys. Rev. 175, 2195 (1968).
S. Weinberg, Trans. N. Y. Acad. Sci. 38, 185 (1977).
F. Wilczek and A. Zee, Phys. Lett. B 70, 418 (1977)
F. Wilczek and A. Zee, Phys. Lett. B 72, 504(E) (1978).
H. Fritzsch, Nucl. Phys. B 155, 189 (1979).
Z-Z. Xing, Int. J. Mod. Phys. A 29, 1430067 (2014).
I. de Medeiros Varzielas, G. G. Ross and J. Talbert, J. High Energy Phys. 1803, 007 (2018).
A. Davidson, V. P. Nair and K. C. Wali, Phys. Rev. D 29, 1504 (1984).
CMS Collaboration, arXiv:1904.05237 [hep-ex].
A. V. Manohar and C. T. Sachrajda, “Quark Masses” Phys. Rev. D 98, 030001 (2018).
Z-Z. Xing, H. Zhang and S. Zhou, Phys. Rev. D 77, 113016 (2007).
C. D. Froggatt and H. B. Nielsen, Nucl. Phys. B 147, 277 (1979).
N. Gray, D. J. Broadhurst, W. Grafe and K. Schilcher, Z. Phys. C 48, 673 (1990).
M. Tanabashi et al. (Particle Data Group), Phys. Rev. D 98, 030001 (2018).
J. E. Kim, Phys. Rev. D 99, 93004 (2019).
P. H. Frampton, J. E. Kim, S-J. Kim and S. Nam, Phys. Rev. D 101, 055022 (2020).
J. E. Kim and M-S. Seo, Phys. Rev. D 84, 037303 (2011).
J. E. Kim, S-J. Kim, S. Nam and M. Shim, arXiv: 1907.12247 [hep-ph].
J. E. Kim and M-S. Seo, arXiv:1201.3005 [hep-ph].
J. E. Kim and M-S. Seo, PoS (DSU2012) 009, arXiv: 1211.0357 [hep-ph].
J. E. Kim, D. Y. Mo and S. Nam, J. Korean Phys. Soc. 66, 894 (2015).
K. G. Chetrykin and M. Steinauser, Nucl. Phys. B 573, 617 (2000).
Acknowledgments
We thank Sin Kyu Kang for helpful discussions. This work is supported in part by a National Research Foundation (NRF) grant NRF-2018R1A2A3074631.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kim, J.E., Kim, SJ. On the Progenitor Quark Mass Matrix. J. Korean Phys. Soc. 77, 10–16 (2020). https://doi.org/10.3938/jkps.77.10
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.3938/jkps.77.10