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arXiv · hep-ph/9905566

Renormalization Group Improved Small-x Equation

M. Ciafaloni·D. Colferai·G. P. Salam
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Abstract

We propose and analyze an improved small-x equation which incorporates exact leading and next-to-leading BFKL kernels on one hand and renormalization group constraints in the relevant collinear limits on the other. We work out in detail the recently proposed omega-expansion of the solution, derive the Green's function factorization properties and discuss both the gluon anomalous dimension and the hard pomeron. The resummed results are stable, nearly renormalization-scheme independent, and join smoothly with the fixed order perturbative regime. Two critical hard pomeron exponents are provided, which - for reasonable strong-coupling extrapolations - are argued to provide bounds on the pomeron intercept.

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M. Ciafaloni, D. Colferai, G. P. Salam. 1999-05-31. Renormalization Group Improved Small-x Equation. https://doi.org/10.1103/physrevd.60.114036

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