39 research outputs found
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