03 19 0 v 1 2 1 M ar 2 00 3 T invariance of Higgs interactions in the standard model

In the standard model, the Cabibbo-Kobayashi-Maskawa matrix, which incorporates the time-reversal violation shown by the charged current weak interactions, originates from the Higgs-quark interactions. The Yukawa interactions of quarks with the physical Higgs particle can contain further complex phase factors, but nevertheless conserve T, as shown by constructing the fermion T transformation and the invariant euclidean fermion measure. The quark mass terms arising from Yukawa interaction with Higgs fields as a result of a Higgs vacuum expectation value are complex and of the form ¯ q L M q R + ¯ ˜ q L ˜ M ˜ q R + hc where q, ˜ q stand for quarks with charge +2/3 and-1/3 respectively. On diagonalization of M, ˜ M , by SU(3)×SU(3) matrices (without any U(1) factors to avoid QCD anomalies),