Abstract
Motivated by new ideas about the Higgs mass naturalness problem, we present realistic TeV-scale extensions of the Standard Model, into the gauge group SU(3) L ⊗ SU(3) R ⊗ SU(3) c , such that all gauge, Yukawa and quartic couplings can be extrapolated up to infinite energy. Three generations of chiral fermions and Higgses are needed, as well as some extra fermion.
Highlights
Compute this kind of possibility, we here assume that all couplings must be asymptotically free
Motivated by new ideas about the Higgs mass naturalness problem, we present realistic TeV-scale extensions of the Standard Model, into the gauge group SU(3)L ⊗ SU(3)R ⊗ SU(3)c, such that all gauge, Yukawa and quartic couplings can be extrapolated up to infinite energy
In the Total Asymptotic Freedom (TAF) Pati-Salam model, flavor bounds force the masses of gauge vectors of SU(4)PS/SU(3)c to be heavier than 100 TeV, which is unnaturally above the weak scale
Summary
One bi-triplet scalar H in the (3L, ̄3R) representation contains 3 Higgs doublets. V (H1) = V1111 for a single Higgs field H1 V (H1, H2, H3) = (V1111 + V2222 + V3333) + (V1122 + V2233 + V1133) + (V1222 + V1333 + V2333 + V2111 + V3111 + V3222) + (V1123 + V2213 + V3312) for three Higgs fields H1, H2 and H3 It contains 54 real quartics plus 36 phases.
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