C. D. Froggatt

Standard model criticality prediction top mass 173 ± 5 GeV and Higgs mass 135 ± 9 GeV

Abstract Imposing the constraint that the Standard Model effective Higgs potential should have two degenerate minima (vacua), one of which should be — order of magnitude wise — at the Planck scale, leads to the top mass being 173 ± 5 GeV and the Higgs mass 135 ± 9 GeV. This requirement of the degeneracy of different phases is a special case of what we call the multiple point criticality principle. In the present work we use the Standard Model all the way to the Planck scale, and do not introduce supersymmetry or any extension of the Standard Model gauge group. A possible model to explain the multiple point criticality principle is lack of locality fundamentally.

Electroweak baryogenesis in the next to minimal supersymmetric model

In the electroweak phase transition there arises the problem of baryon number washout by sphaleron transitions, which can be avoided if the phase transition is strongly enough first order. The minimal supersymmetric standard model has just two Higgs doublets H1 and H2, while the next to minimal model, NMSSM, has an additional singlet, N, this latter giving rise to the helpful feature that the Higgs potential contains a tree level trilinear field term. We use the tunneling criterion for the existence of a first order electroweak phase change. A quantitative statistical analysis indicates that with parameters of the NMSSM satisfying the experimental constraints a strong first order phase change occurs in about 50% of cases.

Standard model Higgs boson mass from borderline metastability of the vacuum

We study imposing the condition that the standard model effective Higgs potential should have two approximately degenerate vacua, such that the vacuum we live in is just barely metastable: the one in which we live has a vacuum expectation value of 246 GeV and the other one should have a vacuum expectation value of the order of the Planck scale. Alone borderline metastability gives, using the experimental top quark mass 173.1+or-4.6 GeV, the Higgs boson mass prediction 121.8+or-11 GeV. The requirement that the second minimum be at the Planck scale already gave the prediction 173+or-4 GeV for the top quark mass according to our 1995 paper.

Remarkable coincidence for the top Yukawa coupling and an approximately massless bound state

We calculate, with several corrections, the nonrelativistic binding by Higgs exchange and gluon exchange between six top and six antitop quarks (actually replaced by left-handed

Minimal mixing of quarks and leptons in the SU(3) theory of flavour

b

Lorentz Invariance and Origin of Symmetries

quarks from time to time). The remarkable result is that, within our calculational accuracy of the order of 14% in the top-quark Yukawa coupling

Baryogenesis constraints on two Higgs doublet models

{g}_{t}

Cosmological constant in SUGRA models and the multiple-point principle

, the experimental running top-quark Yukawa coupling

Family replicated gauge groups and large mixing angle solar neutrino solution

{g}_{t}=0.935

Where does flavour mixing come from

happens to have just that value which gives a perfect cancellation of the unbound