Abstract
We compute the next-to-leading order corrections to the cross section for the production of electroweak gauge bosons ($Z$, $W^\pm$ and $\gamma^*$) with large transverse momentum in double (longitudinally) polarized hadronic collisions. The calculation is fully performed in the HVBM scheme within dimensional regularization with a careful treatment of issues arising due to the appearance of $\gamma^5$ in polarization projectors and axial couplings. We study the phenomenological consequences of the NLO corrections at the level of both the double polarized cross section and the corresponding asymmetries at RHIC kinematics.
Highlights
Over the last decades, our understanding of hadron structure has remarkably improved thanks to impressive experimental and theoretical progress
III we present the analytical results for the next-toleading order (NLO) corrections for gauge boson production
We have presented the first complete calculation at next-to-leading order in perturbative QCD of the cross section for the production of electroweak gauge bosons with large transverse momentum qT in double polarized hadronic collisions
Summary
Our understanding of hadron structure has remarkably improved thanks to impressive experimental and theoretical progress. In the large-qT region (qT ∼ Q), where the transverse momentum is of the order of the vector boson mass, the QCD perturbative series is controlled by a small expansion parameter, αsðQÞ, and calculations based on the truncation of the perturbative series at a fixed order in αs are theoretically justified In this region, the QCD radiative corrections for the unpolarized cross section are known up to NLO [8,9,10] in an analytical form and next-to-next-toleading order (NNLO) corrections were recently obtained in numerical implementations in [11,12,13,14,15,16,17]. In this paper we compute the NLO corrections to the cross section for the production of gauge bosons (Z, WÆ, and γÃ) with large transverse momentum in double (longitudinally) polarized hadronic collisions.
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