First of all, sorry for my English, my first language is German.
My problem is: I calculated the matrix element of the quark-gluon-Compton process (q+g -> gamma + q). With the kinematics of scattering in the center-of-mass frame, i could calculate dsigma/dt. This differential cross section only depends on the Mandelstam variables. Later on I should include the parton distribution functions to calculate the differential cross section (with a Monte Carlo Simulation). My end result should be the differential cross section with respect to the transverse momentum of the direct photon.
So how do i transform my dsigma/dt to dsigma/dp without including the PDFs? I want to know how I accomplish this task in general before messing around with the PDFs.
Thank you all!