6 research outputs found
On Certain Two Dimensional Integrals that Appear In Conformal Field Theory
In a first part, we generalize a theorem for an holomorphic
anti-holomorphic integrand, in the case of 2 dimensional Fourier transform. In
the second part, we derive p-uple conformal integrals the integrand of which
are linear combination of holomorphic times holomorphic generalized
hypergeometric functions. The specific case is relevant to determine the
triple Pomeron vertex in QCD.Comment: latex txt.tex, 3 files, 39 pages [SPhT-T00/034], submitted to Comm.
Math. Phy
Onium-Onium scattering at fixed impact parameter: exact equivalence between the color dipole model and the BFKL Pomeron
We compute the onium-onium scattering amplitude at fixed impact parameter in
the framework of the perturbative QCD dipole model. Relying on conformal
properties of the dipole cascade and of the elementary dipole-dipole scattering
amplitude, we obtain an exact result for this onium-onium scattering amplitude,
which is proven to be identical to the BFKL result, and which exhibits the
frame invariance of the calculation. The asymptotic expression for this
amplitude and for the dipole distribution in an onium at fixed impact parameter
agree with previous numerical simulations. We show how it is possible to
describe onium- deep inelastic scattering in the dipole model, relying
on k_T-factorization properties. The elementary scattering amplitudes involved
in the various processes are computed using eikonal techniques.Comment: 38 pages, latex file, 7 figures included as eps file
Integrales de trois fonctions de Bessel integrals involving Three Bessel or modified Bessel functions
SIGLECNRS RP 148 (691) / INIST-CNRS - Institut de l'Information Scientifique et TechniqueFRFranc