Power corrections in a transverse-momentum cut for vector-boson production at NNLO: the qg-initiated real-virtual contribution

Abstract We consider the production of a vector boson ( Z , $$W^\pm $$ W ± or $$\gamma ^*$$ ? ? ) at next-to-next-to-leading order in strong coupling constant $$\alpha _\mathrm{S}$$ ? S . impose transverse-momentum cutoff, $$q_{\mathrm{T}}^{\mathrm{cut}}$$ q T cut on produced qg -initiated channel. then compute power corrections up to second power, real-virtual interference contribution cumulative cross section _\mathrm{S}^2$$ 2 Other terms with same kinematics, originating from subtraction method applied double-real contribution, have been also considered. The knowledge such is required ingredient reduce dependence cutoff QCD sections order, when $$q_{\mathrm{T}}$$ -subtraction applied. In addition, study allows as well for an understanding its behaviour small limit, giving hints structure all orders and identification universal patterns. Our result are presented analytic form, using process-independent procedure described previous paper calculation all-order