On the conformal spin dependence of the perturbative QCD vacuum  singularity

Grigorios Chachamis; Agustín Sabio Vera

http://hdl.handle.net/10400.26/45470

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Authors

Grigorios Chachamis

Agustín Sabio Vera

Abstract(s)

We study the four-gluon scattering amplitude in the high energy limit of QCD written in terms of its conformal expansion. We highlight the need to include both even and odd conformal spin contributions in order to map it to an iterative representation in rapidity and transverse momentum space which we have evaluated numerically. By Fourier expanding in a set of three azimuthal angles, we find a new form for the amplitude in terms of $_4F_3$ hypergeometric functions. An alternative formulation is possible when connecting this Fourier expansion with Bessel kernels studied in analytic number theory.