Critique of parton-model calculations of azimuthal dependence in leptoproduction

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Abstract
In leptoproduction the outgoing hadron jet has an asymmetry about the direction of the momentum transfer of the leptons, measured relative to the plane containing the lepton momenta. In the naive parton model the asymmetry arises from the transverse momentum of the constituent quarks. In calculating the cross section, including the asymmetry, one must not simply take the sum of the cross sections on the individual quarks, but instead follow a slightly different procedure. Failure to do so produces not only the wrong answer, but an answer inconsistent with Lorentz invariance.