Abstract

Some of the relevant mathematics ofO(5)×U(1) electroweak gauge theory is briefly sketched. TheO(5)×U(1) model is presented. To facilitate the discussion ofCP violation inK decays, the relevant Lagrangian is given in several alternative forms. It is shown that in theCP-violating part of the Lagrangian, by a redefinition of quark phases, the coupling of theCP eigenstatesK1 andK2 cannot be broken. However, if the Cabibbo angle were not present, the statesK1 andK2 would decouple and the theory would becomeCP-invariant. Such a result was also reported by Deshpandeet al., working with a different formalism. Relating the mixing parametersθ andφ to the parameterse1 ande2, it is shown that whene1=e2=e,e reduces to the usualCP-violating andCPT-conserving parameter.

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