On the Gaussian peak of the product of decay probabilities of the standard model Higgs boson at a mass m_H\sim125 GeV

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 centred around m_H\sim125 GeV, i.e. in the region of masses where a new boson has been discovered at the Large Hadron Collider. This fact places the Higgs particle at a mass of "maximum opportunity" in terms of the study of its decays and couplings to other particles. Such an intriguing observation is seemingly driven by the different m_H-power dependence of the Higgs decay-widths into gauge bosons and fermions featuring a steep anticorrelated evolution below the WW decay threshold in the region m_H\sim m_W-2_mW. Speculative consequences of taking this seemingly accidental feature as indicative of an (unknown) underlying dynamics of the SM are also discussed.