DGLAP evolution equations

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The Dokshitzer–Gribov–Lipatov–Altarelli–Parisi (DGLAP) evolution equations are equations in QCD describing the variation of parton distribution functions with varying energy scales.^[1] Experimentally observed scaling violation in deep inelastic scattering is important evidence for the correctness of the equations and of QCD in general.^[1] The equations were first published in the western world by Guido Altarelli and Giorgio Parisi in 1977, and so are still sometimes called the Altarelli–Parisi equations.^[2] Only later did it become known that an equivalent formula had been published in Russia by Yuri Dokshitzer [de] in 1977,^[3] and by Vladimir Gribov and Lev Lipatov in 1972.^[4]

The DGLAP QCD evolution equations are widely used in global determinations of parton distributions, like those from the CTEQ or NNPDF collaborations.^{[citation needed]}