A clever new paper makes a slight tweak to GR (a running cosmological constant) and a slight tweak to the Standard Model (adding one massless real scalar boson), and uses it to correctly post-dict the 125 GeV Higgs boson mass, to make the theory fit the cosmology data better, and to solve other theoretical pathologies.
Overall this plan of attack for BSM physics looks promising.
I have not understood the logic of this new paper, but the basic calculation leading to the Higgs mass actually first appears in their reference 12, page 15. Substitute the expression for lambda_HS (coupling between higgs and new scalar) from eqn 55, into eqn 57, and you have a formula for mH^2 as fraction of v^2 (v being the Higgs vev), expressed solely in terms of other SM couplings. If you want to get a sense of the calculation, let yt=1 and g,g'=0. The resulting value is not quite what you want, but you can see where the order of magnitude comes from.
Thanks for the pointer.
I think the link to the paper is wrong.
The reference 12 paper is https://arxiv.org/abs/1310.0957
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