Published electroweak coincidences

[arivero]

TL;DR

I will keep updating the table, but paste any references (arxiv or journals) in the thread

I have been told of a new preprint of Emilio Torrente-Lujan that revisits his publication Eur. Phys. J. C 74 (2014) 2744, arXiv:1209.0474 of coincidences in the electroweak scale. If I recall correctly we revised in the forum a lot of them, at the time of preprints, but I have not tracked which ones have been actually published and follow. Dare someone to do a table?

Equation	preprint	journal	PF earlier mention
Veltman condition		Acta Phys. Polon. B 12 (1981) 437
$$m_H^2 + m_W^2 +m_Z^2 + \Sigma_{f=q,l} m_f^2 = v^2$$	arXiv:1305.4208	unpublished	here
$$4m_H^2=2m_T^2=v^2$$	arXiv:1409.0492	https://link.springer.com/article/10.1134/S1063776115030218	PF earlier mention
Equation	preprint	journal	PF earlier mention

[/tex]

[tex][/tex]

 

[berkeman]

Thread is closed for Mentor review.

 

[PeterDonis]

Thread is reopened after deletion of two posts containing personal speculation. Please limit posting to giving references relevant to the topic stated in the OP.

 

[loop quantum gravity]

Is it only me, but Veltman equation reminds me of Mandelstam variables.
https://en.wikipedia.org/wiki/Mandelstam_variables

 

[ohwilleke]

I. Alikhanov, "Novel dependence between neutrino mass splittings strongly supported by initial JUNO results" arXiv:2610.06738 (October 5, 2026)). Not yet published. No prior PF discussion. This updates (with new higher precision data from JUNO): I. Alikhanov, "Another relation among the neutrino mass-squared differences?", arXiv:2601.18781 (January 26, 2026), which is the first time that this coincidence has been mentioned of which I am aware.

 

[ohwilleke]

R. Gatto, G. Sartori, and M. Tonin, “Weak self-masses, Cabibbo angle, and broken SU(2)×SU(2),” Phys. Lett. B 28, 128 (1968); R. J. Oakes, “SU(2)×SU(2) breaking and the Cabibbo angle,” Phys. Lett. B 29, 683 (1969). Full text (equations are handwritten and images of them are provided here) at https://cds.cern.ch/record/939987/files/CM-P00057857.pdf

Not aware of prior PF discussion.

 

[ohwilleke]

Vernon Barger, "Quark Mixing from a Lattice Flavon Model: A Four-Magnitude Parameterization" https://arxiv.org/html/2603.00810v2 (August 24, 2026) (the paper also contains many other relations).

Not yet published.

 

[ohwilleke]

|Vtd|²=|Vcb|³ and

|Vub|²|Vus|=|Vcb|⁴

arXiv:2007.12695
Y. Grossman and J. T. Ruderman, “CKM substructure,” JHEP 01, 143 (2021)
No PF discussion of which I am aware.