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Parton distributions with QED corrections (1308.0598v2)

Published 2 Aug 2013 in hep-ph

Abstract: We present a set of parton distribution functions (PDFs), based on the NNPDF2.3 set, which includes a photon PDF, and QED contributions to parton evolution. We describe the implementation of the combined QCD+QED evolution in the NNPDF framework. We then provide a first determination of the full set of PDFs based on deep-inelastic scattering data and LHC data for W and Z/gamma* Drell-Yan production, using leading-order QED and NLO or NNLO QCD. We compare the ensuing NNPDF2.3QED PDF set to the older MRST2004QED set. We perform a preliminary investigation of the phenomenological implications of NNPDF2.3QED: specifically, photon-induced corrections to direct photon production at HERA, and high-mass dilepton and W pair production at the LHC.

Citations (591)

Summary

  • The paper introduces a combined QCD+QED evolution that implements a photon PDF to improve precision in high-energy collider processes.
  • It employs Bayesian reweighting with DIS and LHC Drell-Yan data to reduce uncertainties and benchmark against earlier models like MRST2004QED.
  • The study highlights future efforts to constrain the photon component and refine electroweak tests through enhanced experimental data.

Overview of Parton Distributions with QED Corrections

The NNPDF Collaboration presents a refined set of parton distribution functions (PDFs), identified as NNPDF2.3QED, incorporating both quantum electrodynamics (QED) and quantum chromodynamics (QCD) corrections. The involvement of a photon PDF distinctively enhances the accuracy of perturbative evolutions within the NNPDF framework. Employing deep-inelastic scattering (DIS) data alongside Large Hadron Collider (LHC) W and Z/γ* Drell-Yan production data, this research delineates the implementation of combined QCD and QED evolutions.

PDF Evolution and QED Contributions

The authors have successfully implemented a combined QCD+QED evolution framework to enhance the NNPDF methodology. Electroweak corrections are critically essential due to their significant impact on high-precision phenomenology required at the LHC. The integration of a photon PDF and the associated QED corrections into the evolution equations introduces observable effects, especially in processes where the photon PDF plays a dominant role. The approach is notable for relying extensively on data-driven models, contrasting previous works by incorporating experimental datasets to refine uncertainties instead of relying solely on theoretical predictions.

Comparison and Phenomenological Implications

The ensuing NNPDF2.3QED set is benchmarked against the MRST2004QED set, exhibiting overall agreement yet with perceptible differences at small Bjorken-x values, where the NNPDF2.3QED displays a reduced photon component. The methodology employed allowed for adaptive fitting through Bayesian reweighting, a novel statistical approach that provided enhanced accuracy without necessitating complete refits. This adaptability is pivotal for accommodating subsequent data inflows, ensuring ongoing refinement.

Impact on Collider Physics

The implications of this enriched PDF set are explored through its application to processes sensitive to electromagnetic corrections. This includes dynamics like direct photon production at HERA and photon-induced contributions to high-mass dilepton and W pair productions at the LHC. These processes are crucial for electroweak precision tests and potential new physics searches. The paper highlights substantial theoretical and statistical uncertainties, notably due to insufficiently constrained photon distributions at large x. Thereby, the research extends a structured outlook on addressing these gaps through refined experimental setups and further data integration.

Future Directions

The paper underscores the necessity of augmenting the precision of the photon PDF, especially in processes characterized by large momentum fractions, to minimize uncertainties that might obscure potential new physics phenomena. Future experimental efforts, such as enhanced vector boson pair production measurements, are suggested as pivotal routes for improvement. Through this research, directions for subsequent analysis and advancements in data assimilation and model refinement are made evident, setting the groundwork for the leaflet of future theoretical and experimental explorations within QED and QCD frameworks.

Overall, the paper presents a significant increment in the precision related to QCD+QED corrections within PDFs by combining robust experimental datasets and advanced statistical methods, addressing both theoretical and practical implications with respect to LHC phenomenology and contributing substantially to this domain's corpus of knowledge.

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