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Certain momentum correlations in the production and subsequent decay of heavyfermion pairs in $e^+e^-$ collisions have increased sensitivity to CP-violatingelectric and ``weak" dipole form factors of the fermion in the presence oflongitudinal polarization of the $e^+e^-$ beams. However, unless thepolarizations of $e^+$ and $e^-$ are equal and opposite, collinearinitial-state radiation accompanied by helicity flip results in a CP-invariantcontribution to these and acts as a background, and must be calculated andsubtracted in order to isolate the CP-violating contribution due to the dipoleform factor.We calculate this background contribution to such correlations, toorder $\alpha$, in $e^+e^-\rightarrow \tau^+\tau^-$ and $e^+e^-\rightarrowt\bar{t}$. For the anticitipated luminosities at $\tau$-charm factories andSLC, for the $\tau$, and at a future linear collider with centre-of-mass energyof 500 GeV for the top, these backgrounds are smaller than the statisticalbackground and may be safely neglected.Comment: 21 pages plain LaTeX, to be run twic

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

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Helicity-flip bremsstrahlung and the measurement ofCP-violating form factors in polarizede+e