Left-right gauge symmetry and an "isoconjugate" model of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>CP</mml:mi></mml:math>violation

Abstract

Left-right symmetry in the starting gauge interactions provides the basis for an "isoconjugate" model of $\mathrm{CP}$ violation with the consequence that ${\ensuremath{\eta}}_{+\ensuremath{-}}={\ensuremath{\eta}}_{00}$. The magnitude of $\mathrm{CP}$ violation is naturally suppressed at least to the extent that $V+A$ interactions are suppressed in nature compared to the $V\ensuremath{-}A$ interactions. This allows the possibility that intrinsic $\mathrm{CP}$-violating phase (arising through spontaneous symmetry breaking, for example) may have a maximal character, which may reveal itself at intermediate high energies to possibly disappear at still higher energies. $\mathrm{CP}$ violation in leptonic, semileptonic, and $\ensuremath{\Delta}Y=0$ parity-violating nonleptonic interactions (which could contribute to the electric dipole moment of the neutron) arise on the one hand in fourth order of the weak gauge interactions and on the other via Yukawa interactions between fermions and leftover Higgs mesons as well as via ${W}_{L}\ensuremath{-}{W}_{R}$ mixing. The magnitude of the latter contributions may be limited to be less than or of order ${G}_{F}\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4}$ in order that the experimentally observed relation ${\ensuremath{\eta}}_{+\ensuremath{-}}={\ensuremath{\eta}}_{00}$ may hold at least to a few percent. Thus the electric dipole moment of the neutron ${d}_{n}$ is expected to be less than or of order ${10}^{\ensuremath{-}24}e$ cm. $\mathrm{CP}$ violation in all $|\ensuremath{\Delta}S|=1$ nonleptonic decays ($Y\ensuremath{\rightarrow}N+\ensuremath{\pi}$, etc.) should, in general, have the same order of magnitude as $|{\ensuremath{\eta}}_{+\ensuremath{-}}|$.