Mixed QCD$\otimes$QED corrections to exclusive Drell Yan production using the $q_T$-subtraction method

Abstract

In this work we extend the $q_T$-subtraction formalism, originally developed for QCD corrections, to the case of mixed QCD$\otimes$QED corrections, and apply it to the fully exclusive calculation of the $\mathcal{O}({\alpha }_s\alpha )$ contribution to the production of an off-shell $Z$ boson in hadronic collisions. We present explicit results for the subtraction term and the hard factor, therefore providing all the ingredients needed for the application of the formalism up to $\mathcal{O}({\alpha }_s\alpha )$. To study the phenomenological impact we consider the decay of the off-shell $Z$ boson into a pair of neutrinos, and present kinematical distributions for the final-state leptons at LHC energies.

20 pages, 5 figures

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• Third order fiducial predictions for Drell-Yan at the LHC
• May the four be with you: Novel IR-subtraction methods to tackle NNLO calculations
• Mixed strong$-$electroweak corrections to the Drell$-$Yan process
• Les Houches 2021: Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
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• Universal opening of four-loop scattering amplitudes to trees
• Estimating the impact of mixed QCD-electroweak corrections on the $W$-mass determination at the LHC
• A new approach to semi-inclusive deep-inelastic scattering with QED and QCD factorization
• Drell-Yan Transverse-Momentum Spectra at N${}^3$LL${}^{\prime }$ and Approximate N${}^4$LL with SCETlib
• Determination of the $W$-boson mass at hadron colliders
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• Reconstructing partonic kinematics at colliders with Machine Learning
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• Fermionic Electroweak Two-Loop Corrections to Drell-Yan and Related Processes
• Two-loop mixed QCD-EW corrections to neutral current Drell-Yan
• Monte Carlo Event Generators for Future Lepton Colliders