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We study the nonsinglet evolution for the twist-three quark-gluon correlation functions associated with the transverse momentum odd quark distributions. Different from that for the leading-twist quark distributions, these evolution equations involve more general twist-three functions beyond the correlation functions themselves. They provide important information on nucleon structure and can be studied in the semi-inclusive hadron production in deep inelastic scattering and Drell-Yan lepton pair production in the $pp$ scattering process.
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Zhou et al. (2009) studied this question.
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