On the (Gaussian) maximum at a mass m_H~125 GeV of the product of decay probabilities of the Standard Model Higgs boson

Abstract

The product of the branching ratios of the standard model (SM) Higgs boson in all decay channels available below the top-antitop threshold is observed to be a Gaussian distribution of the Higgs boson mass with a maximum centered at m_H~125 GeV, i.e. exactly at the mass value where a new boson has been discovered at the Large Hadron Collider. Such an intriguing observation is seemingly driven by the different m_H-power dependence of the Higgs decay-widths into gauge bosons and fermions with steep anti-correlated evolutions in the transition region m_H~(m_W,2m_W) below the WW decay threshold. No other SM Higgs mass value has a better combined signal-strength for the whole set of decay channels. Speculative consequences of taking this feature as indicative of an underlying physical principle, that would force the Higgs mass to be that which maximizes its decay probabilities to all the SM particles simultaneously, are also discussed as a means to provide possible constraints for theoretical extensions of the SM.