5 research outputs found
Colored Spin Systems, BKP Evolution and finite N_c effects
Even within the framework of the leading logarithmic approximation the
eigenvalues of the BKP kernel for states of more than three reggeized gluons
are unknown in general, contrary to the planar limit case where the problem
becomes integrable. We consider a 4-gluon kernel for a finite number of colors
and define some simple toy models for the configuration space dynamics, which
are directly solvable with group theoretical methods. Then we study the
dependence of the spectrum of these models with respect to the number of colors
and make comparisons with the large limit case.Comment: 17 pages, 4 figures, references update, to appear on EPJ
Electroproduction of two light vector mesons in next-to-leading BFKL: study of systematic effects
The forward electroproduction of two light vector mesons is the first example
of a collision process between strongly interacting colorless particles for
which the amplitude can be written completely within perturbative QCD in the
Regge limit with next-to-leading accuracy. In a previous paper we have given a
numerical determination of the amplitude in the case of equal photon
virtualities by using a definite representation for the amplitude and a
definite optimization method for the perturbative series. Here we estimate the
systematic uncertainty of our previous determination, by considering a
different representation of the amplitude and different optimization methods of
the perturbative series. Moreover, we compare our result for the differential
cross section at the minimum momentum transfer with a different approach, based
on collinear kernel improvement.Comment: 17 pages, 11 figures; journal version, new figures and discussion
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Measurement of alpha(s) with Radiative Hadronic Events.
The use of the BFKL kernel improved by the inclusion of subleading terms
generated by renormalization group (RG) analysis has been suggested to cure the
instabilities in the behavior of the BFKL Green's function in the
next-to-leading approximation (NLA). We test the performance of a RG-improved
kernel in the determination of the amplitude of a physical process, the
electroproduction of two light vector mesons, in the BFKL approach in the NLA.
We find that a smooth behavior of the amplitude with the center-of-mass energy
can be achieved, setting the renormalization and energy scales appearing in the
subleading terms to values much closer to the kinematical scales of the process
than in the approaches based on the unimproved kernel.Comment: 14 pages, 4 figures, uses axodraw.sty; four references added; version
published on Eur. Phys. J.