On Certain Two Dimensional Integrals that Appear In Conformal Field Theory

J. S. Geronimo, H. Navelet

Published 2000-03-20Version 1

In a first part, we generalize a theorem for an holomorphic $\times $ 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 $p=3$ is relevant to determine the triple Pomeron vertex in QCD.