Analyticity, crossing, and the absorptive parts of the one-loop contributions to the quark-quark-gluon-gauge-boson four-point function

Starting from the known one-loop result for the e+e--annihilation process e+e-→γ,Zqq̅ g with massless quarks we employ analyticity and crossing to determine the absorptive parts of the corresponding one-loop contributions in deep inelastic scattering (DIS) and in the Drell-Yan (DY) process. Whereas the O(αs2) absorptive parts generate a nonmeasurable phase factor in the e+e--annihilation channel one obtains measurable phase effects from the one-loop contributions in the deep inelastic and Drell-Yan cases. We compare our results with the results of previous calculations where the absorptive parts in DIS and in the DY process were calculated directly in the respective channels. We also present some new results on the dispersive and absorptive contributions of the triangle anomaly graph to the DIS process