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Feynman rules in the type-III natural flavor-conserving two-Higgs-doublet model

1993/11/11 by Chilong Lin, Chien-Er Lee, Chien-er Lee +1 · 2 citations
Physics and Astronomy · #Dark Matter and Cosmic Phenomena #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1103/physrevd.50.558

published as Phys.Rev.D50:558-564,1994 · 16 pages (figures not included), NCKU-HEP/93-11

arxiv created 1993/11/11 · openalex publication_date 1994/07/01 · arxiv updated 2010/11/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We consider a two-Higgs-doublet model with S3 symmetry, which implies a \ensuremathπ/2 rather than 0 relative phase between the vacuum expectation values 〈\mathrm\ensuremathΦ1〉 and 〈\mathrm\ensuremathΦ2〉. The corresponding Feynman rules are derived accordingly and the transformation of the Higgs fields from the weak to the mass eigenstates includes not only an angle rotation but also a phase transformation. In this model, both doublets couple to the same type of fermions and the flavor-changing neutral currents are naturally suppressed. We also demonstrate that the type-III natural flavor-conserving model is valid at the tree level even when an explicit S3 symmetry-breaking perturbation is introduced to get a reasonable CKM matrix. In the special case \ensuremathβ=\ensuremathα, as the ratio tan\ensuremathβ=v2/v1 runs from 0 to \ensuremath∞, the dominant Yukawa coupling will change from the first two generations to the third generation. In the Feynman rules we also find that the charged Higgs currents are explicitly left-right asymmetric. The ratios between the left- and right-handed currents for the quarks in the same generations are estimated.

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