The two-Higgs-doublet extension of the standard electroweak model is considered. A permutation symmetry-breaking scheme is proposed and used to calculate the weak mixing matrix up to second order. The CP-violation factor J and the correction to Bjorken's approximation are then given. A special case is considered.

The two coupling constants and the helicity amplitudes of the decay processes [(I) a spin-J baryon decaying into a pseudoscalar meson and a spin-g baryon, and (2) a spin-J boson decaying into a pseudoscalar meson and a spin-1 boson with normality opposite to that of the decaying bosonl are expressed in terms of the partial-wave amplitudes. The expressions a r e exact, without involving any kinematical and dynamical assumptions except Lorentz invariance. The values of the coupling constants and the helicity amplitudes are then calculated for baryons of spin 5, $, and3 and for bosons of spin 1 by ignoring the high-partial-wave contribution. Under the above approximation, simple relations between the coupling constants and between the helicity amplitudes are obtained. The results are found to be exactly the same as those predicted by SU(2), as long as SU (2), does not forbid any helicity amplitud e .The decay of the high-spin resonance into a pseudoscalar meson and another high-spin r e s onance involves two o r m o r e independent coupling constants. In the c a s e of strong decays, the numb e r of independent coupling constants i s equal to the number of partial waves allowed. Therefore, when the resonances a r e baryons, the number of the independent coupling constants i s equal to J t i , where J i s the l e s s e r spin of the two baryons.When the resonances a r e bosons, t h e r e a r e J + 1

We consider a two-Higgs-doublet model with Sj symmetry, which implies a 7r/2 rather than 0 relative phase between the vacuum expectation values ( @, ) and ( @, ). 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-I11 natural flavor-conserving model is valid at the tree level even when an explicit S , symmetry-breaking perturbation is introduced to get a reasonable CKM matrix. In the special case B = a , as the ratio tanB= v 2 / v , runs from 0 to m , 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.

The set of masses and widths for Q mesons given by Brandenburg et a l . is shown to be incompatible with S-wave dominance, if SU(3) symmetry is assumed. 'G. W. Brandenburg et al ., Phys. Rev. Lett. 36, 703 'chien-er Lee and Gan-Shu Lee, Phys. Rev. D 12, 1459 (1976). (1975).

Currents are decomposed into the sum of first- and second-class currents under the breaking of isospin symmetry. The above decompositions are then used to discuss the decay r → ηπντ and the current algebra.