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We report on the first measurement of the angular distributions of final state electrons in $p\bar{p}\to \gamma^{*}/Z\to e^{+}e^{-}+X$ events produced in the $Z$ boson mass region at $\sqrt{s}=1.96$ TeV.
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In the CDF detector frame, the positive z z axis is define by the proton beam direction. The pseudorapidity is η = − ln tan ( θ / 2 ) \eta=-\ln\tan(\theta/2) . For an e + e − e^{+}e^{-} pair P T = P sin θ P_{T}=P\sin\theta , E T = E sin θ E_{T}=E\sin\theta , where θ \theta is the polar angle between the particle direction and the z z axis. For an e + e − e^{+}e^{-} pair, y = 1 2 ln E + P z E − P z y=\frac{1}{2}\ln\frac{E+P_{z}}{E-P_{z}} , where P P and P z P_{z} are the magnitude and z z -component of the momentum, and E E and M e + e − M_{e^{+}e^{-}} are the energy and mass
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