Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1993-11-11
Phys.Rev.D50:558-564,1994
Physics
High Energy Physics
High Energy Physics - Phenomenology
16 pages (figures not included), NCKU-HEP/93-11
Scientific paper
10.1103/PhysRevD.50.558
We consider a two Higgs-doublet model with $S_3$ symmetry, which implies a $\pi \over 2$ rather than 0 relative phase between the vacuum expectation values $<\Phi_1>$ and $<\Phi_2>$. 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 flavour-changing neutral currents are naturally suppressed. We also demonstrate that the Type III natural flavour-conserving model is valid at tree-level even when an explicit $S_3$ symmetry breaking perturbation is introduced to get a reasonable CKM matrix. In the special case $\beta = \alpha$, as the ratio $\tan\beta = {v_2 \over v_1}$ runs from 0 to $\infty$, 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.
Lee Chien-er
Lin Chilong
Yang Yeou-Wei
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