Shadowing corrections to the derivative of the reduced cross-section at small 𝑥
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We analyse the derivative of the reduced cross-section $\dfrac{\partial \sigma^s_r}{\partial ln y}|_x$, using the nonlinear Dokshitzer–Gribov–Lipatov–Altarelli–Parisi (NLDGLAP) evolution equation at small 𝑥. The small 𝑥 behaviour of the structure functions are obtained by solving the Gribov, Levin, Ryskin, Mueller and Qiu (GLR-MQ) evolution equation with the nonlinear shadowing term incorporated. We show that the strong rise corresponding to the linear QCD evolution equations, can be tamed by screening effects.
Volume 96, 2022
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