Standard CGC for DIS produces x-independent cross sections at all orders, so a z-dependent weight functional is required to match physical expectations, existing data fits, and k_t-factorization.
Beuf,Next-to-leading order corrections for the dipole factorization of deep inelastic scattering structure functions at lowx, PRD85(2012) 034039
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The origin of Bjorken-$x$ dependence in DIS: a case for a $z$-dependent weight functional in the CGC
Standard CGC for DIS produces x-independent cross sections at all orders, so a z-dependent weight functional is required to match physical expectations, existing data fits, and k_t-factorization.