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We complete the calculation of the next-to-leading kernel of the BFKL equation, by disentangling its energy-scale dependent part from the impact factor corrections in large-k dijet production. Using the irreducible part previously obtained,we derive the final form of the kernel eigenvalue and of the hard Pomeron shift for various scales. We also discuss the scale changes,the physical equivalence of a class of scales, and how to use collinear safe ones.

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