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QED Radiative Corrections to $Z$ Boson Production and the Forward Backward Asymmetry at Hadron Colliders
High Energy Physics - Phenomenology · Submitted 9 Jul 1997
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim They lead to a sizeable shift in the $Z$ boson mass extracted from data, decrease the di-lepton cross section by up to 10\%, and increase the integrated forward backward asymmetry in the $Z$ peak region by about 7\% at the Tevatron.
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The ${\cal O}(\alpha)$ radiative corrections to the process $p\,p\hskip-7pt\hbox{$^{^{(\!-\!)}}$} \rightarrow \gamma^*, \, Z \rightarrow \ell^+ \ell^-$ ($\ell=e,\,\mu$) are calculated. Factorizing the collinear singularity associated with initial state photon bremsstrahlung into the parton distribution functions, we find that initial state corrections have a much smaller effect than final state radiative corrections. Due to mass singular logarithmic terms associated with photons emitted collinear with one of the final state leptons, QED radiative corrections strongly affect the shape of the di-lepton invariant mass distribution, the lepton transverse momentum spectrum, and the forward backward asymmetry, $A_{FB}$. They lead to a sizeable shift in the $Z$ boson mass extracted from data, decrease the di-lepton cross section by up to 10\%, and increase the integrated forward backward asymmetry in the $Z$ peak region by about 7\% at the Tevatron. We also investigate how experimental lepton identification requirements modify the effect of the QED corrections, and study the prospects for a high precision measurement of $\sin^2\theta^{lept}_{eff}$ using the forward backward asymmetry at the Large Hadron Collider (LHC).
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The ${\cal O}(\alpha)$ radiative corrections to the process $p\,p\hskip-7pt\hbox{$^{^{(\!-\!)}}$} \rightarrow \gamma^*, \, Z \rightarrow \ell^+ \ell^-$ ($\ell=e,\,\mu$) are calculated. | contribution 1.00 | 0.95 | 0.05 | asserted 0.99 |
| s1 | Factorizing the collinear singularity associated with initial state photon bremsstrahlung into the parton distribution functions, we find that initial state corrections have a much smaller effect than final state radiative corrections. | result 0.94 | 0.94 | 0.12 | asserted 1.00 |
| s2 | Due to mass singular logarithmic terms associated with photons emitted collinear with one of the final state leptons, QED radiative corrections strongly affect the shape of the di-lepton invariant mass distribution, the lepton transverse momentum spectrum, and the forward backward asymmetry, $A_{FB}$. | result 0.89 | 0.72 | 0.38 | asserted 1.00 |
| s3 | They lead to a sizeable shift in the $Z$ boson mass extracted from data, decrease the di-lepton cross section by up to 10\%, and increase the integrated forward backward asymmetry in the $Z$ peak region by about 7\% at the Tevatron. | result 1.00 | 0.90 | 0.48 | asserted 1.00 |
| s4 | We also investigate how experimental lepton identification requirements modify the effect of the QED corrections, and study the prospects for a high precision measurement of $\sin^2\theta^{lept}_{eff}$ using the forward backward asymmetry at the Large Hadron Collider (LHC). | contribution 0.92 | 0.89 | 0.06 | asserted 0.64 |
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Original abstract
The ${\cal O}(\alpha)$ radiative corrections to the process $p\,p\hskip-7pt\hbox{$^{^{(\!-\!)}}$} \rightarrow \gamma^*, \, Z \rightarrow \ell^+ \ell^-$ ($\ell=e,\,\mu$) are calculated. Factorizing the collinear singularity associated with initial state photon bremsstrahlung into the parton distribution functions, we find that initial state corrections have a much smaller effect than final state radiative corrections. Due to mass singular logarithmic terms associated with photons emitted collinear with one of the final state leptons, QED radiative corrections strongly affect the shape of the di-lepton invariant mass distribution, the lepton transverse momentum spectrum, and the forward backward asymmetry, $A_{FB}$. They lead to a sizeable shift in the $Z$ boson mass extracted from data, decrease the di-lepton cross section by up to 10\%, and increase the integrated forward backward asymmetry in the $Z$ peak region by about 7\% at the Tevatron. We also investigate how experimental lepton identification requirements modify the effect of the QED corrections, and study the prospects for a high precision measurement of $\sin^2\theta^{lept}_{eff}$ using the forward backward asymmetry at the Large Hadron Collider (LHC).
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References
How the literature uses it
30 arXiv papers cite this in 42 sentences
Papers citing it · 19 sentences without a confident label
Uses its method or tool 2 papers
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For the SM prediction, we use Next-to-Next-to-Leading Order (NNLO) QCD [ref] and Next-to-Leading Order (NLO) ElectroWeak (EW) [ref] results from FEWZ-3.1 [ref] .
Catching a New Force by the Tail · Introduction · 0.82
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We also included QCD [ref] and EW [ref] corrections in the width, with weak corrections having only a very minor effect.
Unravelling an Extra Neutral Gauge Boson at the LHC using Third Generation Fermions · Calculations · 0.85
Uses its data or values 1 paper
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For $M >130$ GeV, they uniformly reduce the differential cross-section by 7%, and for our calculations[The figure [ref] has been generated for $√(s)=1.8$ TeV, while our process is being computed for the $√(s)=1.96$ TeV of the current Tevatron run, but we expect this to have negligible effect on our final results.] we have extrapolated the data points from the mentioned figure and used these as multiplicative factors, which we refer to as $K_γ(M_μμ)$.
Z' Bosons at Colliders: a Bayesian Viewpoint · The Bayesian statistical method · 0.99
Cites it as background 18 papers
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The corrections up to $O(α)$ [ref] in the EW coupling are also available and are implemented in different public codes like [ref] , [ref] , [ref] , [ref] .
Precision Measurement of the W-Boson Mass: Theoretical Contributions and Uncertainties · Existing calculations and simulation codes · 0.80
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Concerning EW effects, the NLO corrections [ref] as well as leading higher-order effects from multiple photon emission and universal weak effects [ref] are known.
Dominant mixed QCD-electroweak $\mathcal{O}(\alpha_s\alpha)$ corrections to Drell-Yan processes in the resonance region · Introduction · 0.98
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QCD corrections are known up to next-to-next-to-leading order [ref] , electroweak (EW) corrections up to next-to-leading order (NLO) [ref] .
Mixed QCD-electroweak O(\alpha_s\alpha) corrections to Drell-Yan processes in the resonance region: pole approximation and non-factorizable corrections · Introduction · 0.91
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