Effect of the Charm Quark Mass on the BFKL gamma^* gamma^* Total Cross
  Section at LEP

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Abstract

We perform a numerical study of various improvements of the LO BFKL prediction for the gamma^* gamma^* total cross section in the kinematical region of the L3 detector at LEP. In particular, we study the effects of a massive charm quark and of different photon polarizations. The variation of the BFKL prediction under changes of alpha_s is investigated.

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Is Open Access

Renormalization Group Improved Small-x Equation

D. Colferai, G. Salam, M. Ciafaloni (1999)

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.