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The Drell-Levy-Yan Relation: ep vs $e^+e^-$ Scattering to $O(\alpha_s^2)$
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abstract
We study the validity of a relation by Drell, Levy and Yan (DLY) connecting the deep inelastic structure (DIS) functions and the single-particle fragmentation functions in $e^+e^-$ annihilation which are defined in the spacelike ($q^2<0$) and timelike ($q^2>0$) regions, with respect to physical evolution kernels for the two processes to $O(\alpha_s^2)$. We also comment on a relation proposed by Gribov and Lipatov.
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