Koide formula (English Wikipedia)

Foot, R. (7 February 1994). "A note on Koide's lepton mass relation". arXiv:hep-ph/9402242.
Rodejohann, W.; Zhang, H. (2011). "Extension of an empirical charged lepton mass relation to the neutrino sector". Physics Letters B. 698 (2): 152–156. arXiv:1101.5525. Bibcode:2011PhLB..698..152R. doi:10.1016/j.physletb.2011.03.007. S2CID 59445811.
Kartavtsev, A. (2011). "A remark on the Koide relation for quarks". arXiv:1111.0480 [hep-ph].
Rivero, A. (2011). "A new Koide tuple: Strange-charm-bottom". arXiv:1111.7232 [hep-ph].
Zenczykowski, Piotr (2012-12-26). "Remark on Koide's Z3-symmetric parametrization of quark masses". Physical Review D. 86 (11): 117303. arXiv:1210.4125. Bibcode:2012PhRvD..86k7303Z. doi:10.1103/PhysRevD.86.117303. ISSN 1550-7998. S2CID 119189170.
Cao, F. G. (2012). "Neutrino masses from lepton and quark mass relations and neutrino oscillations". Physical Review D. 85 (11): 113003. arXiv:1205.4068. Bibcode:2012PhRvD..85k3003C. doi:10.1103/PhysRevD.85.113003. S2CID 118565032.
Rodejohann, W.; Zhang, H. (2011). "Extension of an empirical charged lepton mass relation to the neutrino sector". arXiv:1101.5525 [hep-ph].
Sumino, Y. (2009). "Family gauge symmetry as an origin of Koide's mass formula and charged lepton spectrum". Journal of High Energy Physics. 2009 (5): 75. arXiv:0812.2103. Bibcode:2009JHEP...05..075S. doi:10.1088/1126-6708/2009/05/075. S2CID 14238049.
Koide, Yoshio (2017). "Sumino model and my personal view". arXiv:1701.01921 [hep-ph].
Koide, Yoshio (2018). "What physics does the charged lepton mass relation tell us?". arXiv:1809.00425 [hep-ph].

books.google.com

Zenczykowski, P., Elementary Particles And Emergent Phase Space (Singapore: World Scientific, 2014), pp. 64–66.
Quadt, A., Top Quark Physics at Hadron Colliders (Berlin/Heidelberg: Springer, 2006), p. 147.
Álvarez-Gaumé, L.; Vázquez-Mozo, M.A. (2012). An Invitation to Quantum Field Theory. Berlin, DE / Heidelberg, DE: Springer. pp. 151–152.
Green, D. (2016). Cosmology with MATLAB. Singapore: World Scientific. p. 197.

brannenworks.com

Brannen, Carl A. (2 May 2006). "The lepton masses" (PDF). Brannen's personal website. Retrieved 18 Oct 2020.

cern.ch

cds.cern.ch

Amsler, C.; et al. (Particle Data Group) (2008). "Review of Particle Physics" (PDF). Physics Letters B. 667 (1–5): 1–6. Bibcode:2008PhLB..667....1A. doi:10.1016/j.physletb.2008.07.018. hdl:1854/LU-685594. PMID 10020536. S2CID 227119789.
Harari, Haim; Haut, Hervé; Weyers, Jacques (1978). "Quark masses and cabibbo angles]" (PDF). Physics Letters B. 78 (4): 459–461. Bibcode:1978PhLB...78..459H. doi:10.1016/0370-2693(78)90485-9.

doi.org

Amsler, C.; et al. (Particle Data Group) (2008). "Review of Particle Physics" (PDF). Physics Letters B. 667 (1–5): 1–6. Bibcode:2008PhLB..667....1A. doi:10.1016/j.physletb.2008.07.018. hdl:1854/LU-685594. PMID 10020536. S2CID 227119789.
Rodejohann, W.; Zhang, H. (2011). "Extension of an empirical charged lepton mass relation to the neutrino sector". Physics Letters B. 698 (2): 152–156. arXiv:1101.5525. Bibcode:2011PhLB..698..152R. doi:10.1016/j.physletb.2011.03.007. S2CID 59445811.
Rosen, G. (2007). "Heuristic development of a Dirac-Goldhaber model for lepton and quark structure". Modern Physics Letters A. 22 (4): 283–288. Bibcode:2007MPLA...22..283R. doi:10.1142/S0217732307022621.
Zenczykowski, Piotr (2012-12-26). "Remark on Koide's Z3-symmetric parametrization of quark masses". Physical Review D. 86 (11): 117303. arXiv:1210.4125. Bibcode:2012PhRvD..86k7303Z. doi:10.1103/PhysRevD.86.117303. ISSN 1550-7998. S2CID 119189170.
Koide, Y. (1983). "A fermion-boson composite model of quarks and leptons". Physics Letters B. 120 (1–3): 161–165. Bibcode:1983PhLB..120..161K. doi:10.1016/0370-2693(83)90644-5.
Cao, F. G. (2012). "Neutrino masses from lepton and quark mass relations and neutrino oscillations". Physical Review D. 85 (11): 113003. arXiv:1205.4068. Bibcode:2012PhRvD..85k3003C. doi:10.1103/PhysRevD.85.113003. S2CID 118565032.
Harari, Haim; Haut, Hervé; Weyers, Jacques (1978). "Quark masses and cabibbo angles]" (PDF). Physics Letters B. 78 (4): 459–461. Bibcode:1978PhLB...78..459H. doi:10.1016/0370-2693(78)90485-9.
Sumino, Y. (2009). "Family gauge symmetry as an origin of Koide's mass formula and charged lepton spectrum". Journal of High Energy Physics. 2009 (5): 75. arXiv:0812.2103. Bibcode:2009JHEP...05..075S. doi:10.1088/1126-6708/2009/05/075. S2CID 14238049.
Koide, Yoshio (1990). "Charged lepton mass sum rule from U(3) family Higgs potential model". Modern Physics Letters A. 5 (28): 2319–2324. Bibcode:1990MPLA....5.2319K. doi:10.1142/S0217732390002663.

handle.net

hdl.handle.net

Amsler, C.; et al. (Particle Data Group) (2008). "Review of Particle Physics" (PDF). Physics Letters B. 667 (1–5): 1–6. Bibcode:2008PhLB..667....1A. doi:10.1016/j.physletb.2008.07.018. hdl:1854/LU-685594. PMID 10020536. S2CID 227119789.

harvard.edu

ui.adsabs.harvard.edu

Amsler, C.; et al. (Particle Data Group) (2008). "Review of Particle Physics" (PDF). Physics Letters B. 667 (1–5): 1–6. Bibcode:2008PhLB..667....1A. doi:10.1016/j.physletb.2008.07.018. hdl:1854/LU-685594. PMID 10020536. S2CID 227119789.
Rodejohann, W.; Zhang, H. (2011). "Extension of an empirical charged lepton mass relation to the neutrino sector". Physics Letters B. 698 (2): 152–156. arXiv:1101.5525. Bibcode:2011PhLB..698..152R. doi:10.1016/j.physletb.2011.03.007. S2CID 59445811.
Rosen, G. (2007). "Heuristic development of a Dirac-Goldhaber model for lepton and quark structure". Modern Physics Letters A. 22 (4): 283–288. Bibcode:2007MPLA...22..283R. doi:10.1142/S0217732307022621.
Zenczykowski, Piotr (2012-12-26). "Remark on Koide's Z3-symmetric parametrization of quark masses". Physical Review D. 86 (11): 117303. arXiv:1210.4125. Bibcode:2012PhRvD..86k7303Z. doi:10.1103/PhysRevD.86.117303. ISSN 1550-7998. S2CID 119189170.
Koide, Y. (1983). "A fermion-boson composite model of quarks and leptons". Physics Letters B. 120 (1–3): 161–165. Bibcode:1983PhLB..120..161K. doi:10.1016/0370-2693(83)90644-5.
Cao, F. G. (2012). "Neutrino masses from lepton and quark mass relations and neutrino oscillations". Physical Review D. 85 (11): 113003. arXiv:1205.4068. Bibcode:2012PhRvD..85k3003C. doi:10.1103/PhysRevD.85.113003. S2CID 118565032.
Harari, Haim; Haut, Hervé; Weyers, Jacques (1978). "Quark masses and cabibbo angles]" (PDF). Physics Letters B. 78 (4): 459–461. Bibcode:1978PhLB...78..459H. doi:10.1016/0370-2693(78)90485-9.
Sumino, Y. (2009). "Family gauge symmetry as an origin of Koide's mass formula and charged lepton spectrum". Journal of High Energy Physics. 2009 (5): 75. arXiv:0812.2103. Bibcode:2009JHEP...05..075S. doi:10.1088/1126-6708/2009/05/075. S2CID 14238049.
Koide, Yoshio (1990). "Charged lepton mass sum rule from U(3) family Higgs potential model". Modern Physics Letters A. 5 (28): 2319–2324. Bibcode:1990MPLA....5.2319K. doi:10.1142/S0217732390002663.

inspirehep.net

Goffinet, F. (2008). A bottom-up approach to fermion masses (PDF) (PhD thesis). Louvain, FR: Université catholique de Louvain.
Koide, Yoshio (1990). "Charged lepton mass sum rule from U(3) family Higgs potential model". Modern Physics Letters A. 5 (28): 2319–2324. Bibcode:1990MPLA....5.2319K. doi:10.1142/S0217732390002663.

motls.blogspot.com

Motl, L. (16 January 2012). "Could the Koide formula be real?". blogspot.com (blog). The Reference Frame. Archived from the original on 2 August 2021. Retrieved 21 December 2023.

nih.gov

pubmed.ncbi.nlm.nih.gov

Amsler, C.; et al. (Particle Data Group) (2008). "Review of Particle Physics" (PDF). Physics Letters B. 667 (1–5): 1–6. Bibcode:2008PhLB..667....1A. doi:10.1016/j.physletb.2008.07.018. hdl:1854/LU-685594. PMID 10020536. S2CID 227119789.

researchgate.net

Rosen, G. (2007). "Heuristic development of a Dirac-Goldhaber model for lepton and quark structure". Modern Physics Letters A. 22 (4): 283–288. Bibcode:2007MPLA...22..283R. doi:10.1142/S0217732307022621.

semanticscholar.org

api.semanticscholar.org

Amsler, C.; et al. (Particle Data Group) (2008). "Review of Particle Physics" (PDF). Physics Letters B. 667 (1–5): 1–6. Bibcode:2008PhLB..667....1A. doi:10.1016/j.physletb.2008.07.018. hdl:1854/LU-685594. PMID 10020536. S2CID 227119789.
Rodejohann, W.; Zhang, H. (2011). "Extension of an empirical charged lepton mass relation to the neutrino sector". Physics Letters B. 698 (2): 152–156. arXiv:1101.5525. Bibcode:2011PhLB..698..152R. doi:10.1016/j.physletb.2011.03.007. S2CID 59445811.
Zenczykowski, Piotr (2012-12-26). "Remark on Koide's Z3-symmetric parametrization of quark masses". Physical Review D. 86 (11): 117303. arXiv:1210.4125. Bibcode:2012PhRvD..86k7303Z. doi:10.1103/PhysRevD.86.117303. ISSN 1550-7998. S2CID 119189170.
Cao, F. G. (2012). "Neutrino masses from lepton and quark mass relations and neutrino oscillations". Physical Review D. 85 (11): 113003. arXiv:1205.4068. Bibcode:2012PhRvD..85k3003C. doi:10.1103/PhysRevD.85.113003. S2CID 118565032.
Sumino, Y. (2009). "Family gauge symmetry as an origin of Koide's mass formula and charged lepton spectrum". Journal of High Energy Physics. 2009 (5): 75. arXiv:0812.2103. Bibcode:2009JHEP...05..075S. doi:10.1088/1126-6708/2009/05/075. S2CID 14238049.

web.archive.org

Motl, L. (16 January 2012). "Could the Koide formula be real?". blogspot.com (blog). The Reference Frame. Archived from the original on 2 August 2021. Retrieved 21 December 2023.

wikipedia.org

de.wikipedia.org

Quadt, A., Top Quark Physics at Hadron Colliders (Berlin/Heidelberg: Springer, 2006), p. 147.

worldcat.org

Zenczykowski, Piotr (2012-12-26). "Remark on Koide's Z3-symmetric parametrization of quark masses". Physical Review D. 86 (11): 117303. arXiv:1210.4125. Bibcode:2012PhRvD..86k7303Z. doi:10.1103/PhysRevD.86.117303. ISSN 1550-7998. S2CID 119189170.