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There is a sizable and systematic discrepancy between experimental data on the $b\overline{b}$ production in $p\overline{p}$, $\gamma p$ and $\gamma \gamma$ collisions and the existing theoretical calculations within perturbative QCD. The uncertainty is coming from renormalization and factorization scale dependence of finite order perturbative calculations of the total cross section of $b\overline{b}$ production in such collisions and will be discussed for $p\overline{p}$ collision in detail. If we employ the approach of "Complete RG-improvement(CORGI)", in which one should perform a resummation to all-orders of renormalization and factorization group-predictable terms at each order of perturbation theory, then the scales dependence will be avoided and the mentioned discrepency is reduced significantly.
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