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QCD$\oplus$QED NNLO corrections to Drell Yan production
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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.
Forward citations
Cited by 6 Pith papers
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Renormalization of axial anomaly in SU(N)$\times$U(1)
Computes three-loop renormalization constants and pure-singlet axial-vector form factor contributions for SU(N)×U(1) using form factors and IR divergence universality.
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Fermionic Electroweak Two-Loop Corrections to Drell-Yan and Related Processes
The full NNLO electroweak corrections with closed fermion loops to e+e- → ffbar (and Drell-Yan) were calculated semi-numerically and found to modify NLO cross-sections by about 1%.
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Drell-Yan Transverse-Momentum Spectra at N$^3$LL$'$ and Approximate N$^4$LL with SCETlib
State-of-the-art LHC predictions for W/Z transverse momentum spectra at N3LL' and approximate N4LL accuracy, with a rigorous reduction of nonperturbative TMD physics to one effective function per process.
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Random Reshuffling-Based Distributed Nash Equilibrium Seeking
Random reshuffling yields distributed Nash-seeking algorithms that, under partial decision information, converge linearly to a neighborhood (constant steps) or exactly a.s./in mean square (diminishing steps), outperfo...
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Mixed QCD-EW corrections to the neutral-current Drell-Yan process
Exact mixed QCD-EW corrections at order alpha_s alpha to neutral-current Drell-Yan production are computed and applied to distributions, the forward-backward asymmetry, and dressed leptons.
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Higher-order and mixed QCD-QED corrections for Drell-Yan
The paper reviews and summarizes the extension of qT-resummation to mixed QCD-QED corrections for Drell-Yan, reporting percent-level effects for Z production at the LHC.
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