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  • The Higgs mass coincidence ...
    Torrente-Lujan, E.

    Nuclear and particle physics proceedings, April-June 2016, 2016-04-00, Letnik: 273-275
    Journal Article

    We present a phenomenological evaluation of the ratio ρt=mZmt/mH2, from the LHC combined mH value, we get ((1σ))ρt(exp)=0.9956±0.0081. This value is close to one with a precision of the order ∼ 1%. Similarly we evaluate the ratio ρWt=(mW+mt)/(2mH). From the up-to-date mass values we get ρWt(exp)=1.0066±0.0035(1σ). The Higgs mass is numerically close (at the 1% level) to the mH∼(mW+mt)/2. From these relations we can write any two mass ratios as a function of, exclusively, the Weinberg angle (with a precision of the order of 1% or better):(1)mimj≃fij(θW),i,j=W,Z,H,t. For example: mH/mZ≃1+2sθW/22, mH/mtcθW≃1−2sθW/22. In the limit cos⁡θW→1 all the masses would become equal mZ=mW=mt=mH.