The Quanta Magazine published a report

A New Theory to Explain the Higgs Massby Natalie Wolchover that promotes a one-month-old preprint

Cosmological Relaxation of the Electroweak Scaleby Graham, Kaplan, and Rajendran. So far, the paper has 1 (conference-related) citation but has already received great appraisals e.g. from Guidice, Craig, and Dine – and less great ones e.g. from Arkani-Hamed.

The Higgs mass, \(125\GeV\) or so (and the electroweak scale), is about \(10^{16}\) times lighter than the Planck mass, the characteristic scale of quantum gravity. Where does this large number come from? The usual wisdom, with a correction I add, is that the large number may be explained by one of the three basic ideas:

- naturalness, with new physics (SUSY, compositeness) near the Higgs mass
- anthropic principle, i.e. lots of vacua with different values of the Higgs mass, mostly comparable to the Planck mass; the light Higgs vacua are chosen because they admit life like ours
- Dirac's large number hypothesis: similar large dimensionless numbers are actually functions of the "age of the Universe" which is also large (but not a universal constant) and therefore evolve, or have evolved, as the Universe was expanding; see TRF