Geodesic
Structure functions of deep inelastic scattering and $e^+e^-$ annihilation at small x in QCD
Teoretičeskaâ i matematičeskaâ fizika, Tome 61 (1984) no. 3, pp. 408-418

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A study is made of the behavior of the structure functions of deep inelastic scattering and $e^+e^-$-annihilation at small x in different asymptotic regimes. It is shown that when allowance is made for only the leading logarithms the Gribov–Lipatov relation between these functions holds in the Bjorkea regime $(Q^2\rightarrow\infty, x\rightarrow 0)$ and is violated in the Regge regime $(Q^2=\mathrm{const}, x\rightarrow 0)$. When the nonleading contributions are taken into account it also ceases to hold in the Bjorken regime. 
@article{TMF_1984_61_3_a8,
     author = {G. M. Zinovjev and O. P. Pavlenko and A. M. Snigirev and V. P. Shelest},
     title = {Structure functions of deep inelastic scattering and $e^+e^-$ annihilation at small x in {QCD}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {408--418},
     publisher = {mathdoc},
     volume = {61},
     number = {3},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1984_61_3_a8/}
}
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G. M. Zinovjev; O. P. Pavlenko; A. M. Snigirev; V. P. Shelest. Structure functions of deep inelastic scattering and $e^+e^-$ annihilation at small x in QCD. Teoretičeskaâ i matematičeskaâ fizika, Tome 61 (1984) no. 3, pp. 408-418. http://geodesic.mathdoc.fr/item/TMF_1984_61_3_a8/