Abstract
In this paper, we review the status of the computations of the perturbative quantum corrections to the Higgs boson mass in the Standard Model and in its supersymmetric extensions. In particular, supersymmetric theories require a very accurate computation of the Higgs boson mass, which includes corrections even up to the three-loop level, since their predictions are limited by theoretical uncertainties. A discussion about these uncertainties in the context of the Minimal and Next To Minimal Supersymmetric Standard Model is included.
Highlights
The Standard Model (SM) of the electroweak force unification does not explain important phenomena of fundamental interactions such as the neutrino oscillation, the dark matter, the baryon asymmetry, the vacuum stability of the model, and the electroweak hierarchy in the mass scales, among others
We have presented a general review of the precision calculations of the Higgs boson mass in the SM (Mh) as well as in the real version of the MSSM (rMSSM)
The theoretical uncertainty associated with Mh in the SM can be as large as 1 GeV while for mh the uncertainty estimated in FeynHiggs and confirmed in FlexibleEFTHiggs is of the order of 1–5 GeV
Summary
The Standard Model (SM) of the electroweak force unification does not explain important phenomena of fundamental interactions such as the neutrino oscillation, the dark matter, the baryon asymmetry, the vacuum stability of the model, and the electroweak hierarchy in the mass scales, among others. In SMDR, instead, the vev is defined to be the minimum of the full effective potential calculated in the Landau gauge By this definition, the sum of all Higgs tadpole graphs, including the treelevel Higgs tadpole, vanishes identically, and negative powers of λ and huge EW corrections are absent in the perturbative expansions of the pole masses and their relations with the MS parameters. The sum of all Higgs tadpole graphs, including the treelevel Higgs tadpole, vanishes identically, and negative powers of λ and huge EW corrections are absent in the perturbative expansions of the pole masses and their relations with the MS parameters This vev is in some sense a more faithful description of the true vacuum state. The precise relationship between the threshold corrections that relate the MS masses to the parameters in the pole scheme with the three-level vacuum vtree and the alternative computation implemented in SMDR deserve more attention in future studies
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