PorCPdetermination by sequential decays:V1V2modes with decays into l¯AlBand/or q¯AqB

Abstract

For application at modern colliders, the φφ symmetry tests are generalized to the generic sequential decay X→$V_1$ $V_2$ where at least one of the vector bosons decays into a lepton and an antilepton, or a quark and an antiquark. The general decay correlation function I(${\mathrm{theta}}_1$,${\mathrm{theta}}_2$,φ) and its integrated distributions are simultaneously characterized in convenient α’s, β’s, and γ’s which are simple triquadratic functions of the three sets of helicity amplitudes. From a JJ, ΥΥ, or $Z^0$ $Z^0$ mode the parity ${\eta }_P$ or the CP eigenvalue ${\gamma }_{\mathrm{CP}}$ of X can always be determined if the decay is respectively P or CP invariant, as can (${\mathrm{-})}^J$ of X except in certain circumstances. From a $W^{+}$ $W^{\mathrm{-}}$ mode, ${\gamma }_{\mathrm{CP}}$ can always be determined. For modes such as φJ, JΥ, and φ$Z^0$, ${\mathrm{JZ}}^0$, ${\eta }_P$ ${\left(\mathrm{-}\right)}^J$, or ${\gamma }_{\mathrm{CP}}$ ${\left(\mathrm{-}\right)}^J$ can be determined provided certain amplitudes do not accidentally vanish. Generalization to the ${\mathrm{gZ}}^0$ and gg decay channels, g=gluon jet, is discussed.