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Mixed QCD-electroweak corrections to on-shell Z production at the LHC
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abstract
We present the first complete calculation of mixed QCD-electroweak corrections to the production of on-shell $Z$ bosons in hadron collisions and their decays to massless charged leptons. Our computation is fully differential with respect to final state QCD partons and resolved photons, allowing us to compute any infra-red safe observable pertinent to the $pp \to Z \to l^+ l^-$ process in the approximation that the $Z$ boson is on shell. Although mixed QCD-electroweak corrections are small, at about the per mill level, we observe that the interplay between QCD-QED and QCD-weak contributions is subtle and observable-dependent. It is therefore not possible to avoid computing one or the other if ${\cal O}(\alpha_{EW} \alpha_s)$ precision is desired.
Forward citations
Cited by 3 Pith papers
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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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Three loop master integrals for ${\mathcal{O}} (\alpha \alpha_s^2)$ corrections to quark form factor
The authors derive analytic expressions for all 303 three-loop master integrals with one massive propagator appearing in the mixed QCD-electroweak corrections to the quark form factor, expressed through generalized po...
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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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