QCD⊕QED NNLO corrections to Drell-Yan production

Daniel De Florian,Ignacio Fabre,Manuel Der

doi:10.1103/physrevd.98.094008

Daniel De Florian, Ignacio Fabre + Show 1 more

Open Access

https://doi.org/10.1103/physrevd.98.094008

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Abstract

We compute the QCD$\times$QED (${\cal{O}}(\alpha_s \alpha)$) mixed and QED$^2$ (${\cal{O}}(\alpha^2)$) corrections to the production of an on-shell $Z$ boson in hadronic collisions. We obtain them by profiting from the calculation of the pure QCD terms after taking the corresponding abelian limits. Therefore, we extend the available knowledge up to complete next-to-next-to leading order precision in QCD$\oplus$QED. We present explicit results for the perturbative coefficients and perform the phenomenological analysis at different collider energies with particular emphasis on the mixed corrections. We study the contribution from the different channels and discuss the scale dependence stabilisation effect. We consider a factorisation approximation for the mixed order terms and show that it fails to reproduce the exact result. We find that the contributions are small, typically at the few per mille level, but that under some kinematical conditions they can compete with the pure QCD NNLO ones.

Highlights

In recent years the development of high precision experiments in particle physics demanded a theoretical upgrade to match the accuracy achieved at the LHC
By following the same procedure we present the QED2 Oðα2Þ corrections, completing, the set of next-to-next-to-leading order (NNLO) contributions in quantum chromodynamics (QCD) ⊕ QED [i.e., all terms that correspond to i þ j 1⁄4 2 in Eq (1)]
II we present the method used to compute the QCD × QED OðααsÞ and QED2 Oðα2Þ contributions from the pure QCD corrections Oðα2sÞ

Summary

Introduction

Since α2s ∼ α, it becomes necessary to include the corresponding next-to-leading-order (NLO) electroweak (EW) corrections, that for many observables exceed the few percent level (e.g., [1,2]) and become quantitatively important for an accurate description. Both precise measurements and calculations are essential to test different aspects of the Standard Model (SM) and to discern between them and possible new physics evidence due to beyond the Standard Model (BSM) effects. Charge asymmetry measurements and invariant mass dependencies have helped to extract precise

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