Left and Right in small-x neutrino DIS

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The color dipole analysis of nuclear effects in charge current DIS is presented. The emphasis is put on the pronounced effect of left-right asymmetry of shadowing in neutrino-nucleus DIS at small values of Bjorken $x$. Strikingly different scaling behavior of nuclear shadowing for the left-handed andright-handed $W^+$ is predicted. Large, about 25%, shadowing in the $Fe$ structure functions is predicted, which is important for a precise determination of the P-odd nucleon structure functions $xF^{ν(\barν)}_3$ and $Δx F_3=xF_3^ν-xF_3^{\bar ν}$.
7 pages, 1 figures, Talk given at Diffraction 06,International Workshop on Diffraction in High-Energy Physics,September 5-10, 2006 Adamantas, Milos island, Greece

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