Enhancement ofε′/εin theSU(2)L×SU(2)R×U(1)model

We explore the possible enhancement of the direct $\mathrm{CP}$-violating parameter ${\epsilon }^{\prime }/\epsilon$ in the general left-right model based on the $\mathrm{SU}{\mathrm{}\left(2\right)\mathrm{}}_L\times \mathrm{SU}{\mathrm{}\left(2\right)\mathrm{}}_R\times \mathrm{U}\mathrm{}\left(1\right)\mathrm{}$ gauge group. The mixing matrix of right-handed quarks, $V_{\mathrm{CKM}}^R,$ is observable in the left-right model, and provides a new source of the $\mathrm{CP}$-violating phase. We calculate the parameter ${\epsilon }^{\prime }/\epsilon$ in the left-right model and show that the new phases from $V_{\mathrm{CKM}}^R$ can yield a sizable contribution to the direct $\mathrm{CP}$ violation, enough to satisfy the recent measurements of $\mathrm{Re}({\epsilon }^{\prime }/\epsilon )$ from Fermilab KTeV and CERN NA48 experiments.