Higgs, top, 750 GeV II

The idea that the 750 GeV anomaly might be a top-antitop bound state has been taken to a new level by Froggatt & Nielsen, who have sketched a whole phenomenology for their particle. The reasoning is "crude" (their word), but still on a much higher plane than any mere numerology of masses.

So things may be about to get serious there. Meanwhile, I want to enumerate a few relationships which are still just numerology, but have the potential to be part of a genuine theoretical synthesis.

m_H ~ m_t/√2
H_vev ~ 2 m_H
m₃₇₅ ~ 3 m_H
m₇₅₀ ~ 6 m_H

m_H is the Higgs boson mass, m_t is the top quark mass, H_vev is the Higgs field vev. m₇₅₀ is the mass of the 750 GeV particle. m₃₇₅ is the mass of a 375 GeV particle that Lubos may have found in the data. 

The picture I get is that the Higgs field is a top quark condensate, the 750 is a sort of loose bound state of 6 Higgs bosons (that is a "1S" toponium when analyzed at the level of quarks), and the 375 is like the 750 but with only half of the available top states occupied.

Higgs, top, 750 GeV

It is a long-standing idea that the Higgs might be a top-antitop bound state. (I have proposed a bootstrap version of this idea.)

My credence for that idea has just gone way up, now that I have discovered another long-standing proposal, that there might be a light bound state of 6 tops and 6 anti-tops. The number 6 appears because the top quark has two spin states and three color states, so this is the maximum number of tops in the same wavefunction that is allowed by the Pauli exclusion principle.

I had already wondered if the LHC bump at 750 GeV was somehow 6 Higgs bosons bound by top loops, since 750 GeV = 6 x 125 GeV, the Higgs mass. But if the Higgs is already a top-antitop bound state...

Proton charge radius

A new user at Physics Stack Exchange, "dandb", has made an observation which I express as follows:

"The charge radius of the proton (in muonic hydrogen) is almost exactly four times the reduced Compton wavelength of the proton."