Event Handedness in $e^{+}{e}^{-}$ Annihilation to Three Jets

Abstract

We discuss rescattering effects that can be measured in $e^{+}{e}^{-}$ annihilation to three jets through a single gauge boson, by using triple product (``event handedness'') correlations of the $Z$ (${\gamma }^{\ast }$) polarization with jet momenta. The gauge boson polarization may be produced either by polarized beams or through the natural polarization (left-right asymmetry) of the $Z$. QCD rescattering does not generate triple product correlations at one loop for massless quarks. We therefore calculate the QCD contribution for massive quarks, as well as the contribution of $W$ and $Z$ exchange loops for massless quarks. Due to various cancellations, the standard model predictions for triple-product correlations at the $Z$ are very small, making such measurements potentially sensitive to physics beyond the standard model. For example, the effects of a new gauge boson that couples only to baryon number may be larger than the standard model contributions; however the effects would probably still be too small to effectively constrain it.

a few minor text changes made and references added; version to appear in Physical Review D; 36 pages, plain TeX, including epsf.tex macro; 10 (unchanged) figures included as one uuencoded ps file

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