A quantum of solace (for higher energy physics)
- In this framework indeed the low Higgs mass value of 125 GeV can be calculated from first principles thanks to a ultra-weak mixing with a standard model singlet Higgs scalar charged under the gauged B-L symmetry and leaving canonically at a natural ultraheavy see-saw scale. This
forecastpost-diction relies on i) the spectral action principle, ii) a model of spacetime as the product of an ordinary spin manifold by the most simple finite noncommutative geometry F required to accommodate neutrino mixing and iii) a deeper understanding of the noncommutative "dynamics" that consisted in removing (not adding!) a particular axiom called the first order condition that arises now as a spontaneously broken phase of higher symmetry and is not imposed from outside.
- More importantly this theoretical endeavour leads now without arbitrariness to the Pati–Salam  gauge group SU(4)C⊗SU(2)L⊗SU(2)R, together with the corresponding gauge fields and a scalar sector that can not be chosen freely, in contrast to the early work on grand unification. In fact, there are only a few possibilities for the precise scalar content that could depend physically on hypotheses on the flavour structure of the theory (?*). One important feature that deserves to be underline : it has been checked that the spectral action principle gives the usual Pati–Salam action with unification of its three gauge couplings at a scale of the order of 1015-16 GeV while the intermediate see-saw scale is in the range 1011-13 GeV.
//Last edit : 13 August 2016.