BFKL QCD Pomeron in High Energy Hadron Collisions: Inclusive Dijet Production

We calculate inclusive dijet production cross section in high energy hadron collisions within the BFKL resummation formalism for the QCD Pomeron. Unlike the previous calculations with the Pomeron developing only between tagging jets, we include also the Pomerons which are adjacent to the hadrons. With these adjacent Pomerons we define a new object --- the BFKL structure function of hadron --- which enables one to calculate the inclusive dijet production for any rapidity intervals. We present predictions for the K-factor and the azimuthal angle decorrelation in the inclusive dijet production for Fermilab-Tevatron and CERN-LHC energies.Comment: 8 pages, Latex, 3 figs. as a separate uuencoded compressed tar fil

The Next-to-Leading Dynamics of the BFKL Pomeron

The next-to-leading order (NLO) corrections to the BFKL equation in the BLM optimal scale setting are briefly discussed. A striking feature of the BLM approach is rather weak Q^2-dependence of the Pomeron intercept, which might indicate an approximate conformal symmetry of the equation. An application of the NLO BFKL resummation for the virtual gamma-gamma total cross section shows a good agreement with recent L3 data at CERN LEP2 energies.Comment: 7 pages, 2 eps-figures, presented at International Symposium on Multiparticle Dynamics (ISMD99), August 9-13, 1999, Brown University, Providence, Rhode Islan

Skewed Sudakov Regime, Harmonic Numbers, and Multiple Polylogarithms

On the example of massless QED we study an asymptotic of the vertex when only one of the two virtualities of the external fermions is sent to zero. We call this regime the skewed Sudakov regime. First, we show that the asymptotic is described with a single form factor, for which we derive a linear evolution equation. The linear operator involved in this equation has a discrete spectrum. Its eigenfunctions and eigenvalues are found. The spectrum is a shifted sequence of harmonic numbers. With the spectrum found, we represent the expansion of the asymptotic in the fine structure constant in terms of multiple polylogarithms. Using this representation, the exponentiation of the doubly logarithmic corrections of the Sudakov form factor is recovered. It is pointed out that the form factor of the skewed Sudakov regime is growing with the virtuality of a fermion decreasing at a fixed virtuality of another fermion.Comment: 6 page