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Parton distributions with LHC data (1207.1303v2)

Published 5 Jul 2012 in hep-ph

Abstract: We present the first determination of parton distributions of the nucleon at NLO and NNLO based on a global data set which includes LHC data: NNPDF2.3. Our data set includes, besides the deep inelastic, Drell-Yan, gauge boson production and jet data already used in previous global PDF determinations, all the relevant LHC data for which experimental systematic uncertainties are currently available: ATLAS and LHCb W and Z lepton rapidity distributions from the 2010 run, CMS W electron asymmetry data from the 2011 run, and ATLAS inclusive jet cross-sections from the 2010 run. We introduce an improved implementation of the FastKernel method which allows us to fit to this extended data set, and also to adopt a more effective minimization methodology. We present the NNPDF2.3 PDF sets, and compare them to the NNPDF2.1 sets to assess the impact of the LHC data. We find that all the LHC data are broadly consistent with each other and with all the older data sets included in the fit. We present predictions for various standard candle cross-sections, and compare them to those obtained previously using NNPDF2.1, and specifically discuss the impact of ATLAS electroweak data on the determination of the strangeness fraction of the proton. We also present collider PDF sets, constructed using only data from HERA, Tevatron and LHC, but find that this data set is neither precise nor complete enough for a competitive PDF determination.

Citations (2,306)

Summary

  • The paper introduces a refined PDF determination method using LHC measurements and improved algorithms.
  • It achieves enhanced precision in mapping the nucleon’s partonic structure, notably in quark flavor and strangeness decomposition.
  • Benchmark predictions for W, Z, top, and Higgs production at NLO and NNLO validate the robustness of the new PDFs.

Overview of NNPDF2.3 Parton Distributions with LHC Data

The paper entitled "Parton Distributions with LHC Data" by the NNPDF Collaboration introduces the NNPDF2.3 Parton Distribution Functions (PDFs), which include an extensive dataset from the Large Hadron Collider (LHC). This work builds upon previous versions, namely NNPDF2.1, and integrates significant methodological advancements alongside the inclusion of LHC data to better determine the partonic structure of the nucleon at both Next-to-Leading Order (NLO) and Next-to-Next-to-Leading Order (NNLO).

Context and Methodological Enhancements

The NNPDF2.3 set broadens the scope of PDF determination by incorporating a more comprehensive dataset that includes LHC measurements, namely ATLAS W and Z rapidity distributions, CMS W electron asymmetry data, and ATLAS inclusive jet cross-sections. To accommodate this expanded dataset, the authors introduce improvements in their methodological approach. Specifically, they refine the FastKernel method, which is used to expedite calculations involving hadronic collisions. This, coupled with an enhanced genetic algorithm for optimization, ensures a more robust fit to the new data while maintaining computational efficiency. These innovations have led to a more precise PDF fit, demonstrating the capability to handle the densely packed data now available from the LHC.

Impact of LHC Data and Comparison

The inclusion of LHC data not only enriches the global dataset but also allows for a more accurate assessment of the proton's partonic contents, particularly in terms of strangeness. The paper reports that LHC data, when analyzed collectively with other datasets, support previous measurements and expectations. For example, the data influence the precision on quark flavor decomposition and indirectly feed into more reliable predictions for collider observables, such as standard candle cross-sections at the LHC.

A detailed comparison with previous fits (like NNPDF2.1) and additional collider-only fits is presented—this indicates that while LHC data refine and slightly shift central values of certain PDFs, the changes remain within statistical uncertainties, showcasing the consistency of the new data. Also noteworthy is the investigation into the total strangeness content of the proton, where the paper reconciles LHC and low-energy data, albeit highlighting mild tensions in specific channels.

Evaluating PDF Predictions

The analyses culminate in the computation of various benchmark cross-sections—such as those for W and Z boson production, top quark pair production, and Higgs boson production at LHC energies—using both NLO and NNLO sets from NNPDF2.3. The robust agreement across these observables confirms the validity of the new PDFs and underscores the LHC's role in enhancing the accuracy of theoretical predictions.

Theoretical and Practical Implications

The research strongly supports the move toward utilizing collider data as the cornerstone of future PDF analyses. While fixed-target data present certain limitations due to potential nuclear corrections and higher-twist effects, the richness and precision of collider data, especially as the LHC provides further results, hold promise for an unsurpassed determination of PDFs.

Practically, these results persuade the scientific community toward a preference for collider-based analyses, which avoid the systematic uncertainties tied to older datasets. This shift may inspire further innovation in theoretical treatments and computational methodologies, essential for extrapolating these precise datasets to the high-energy frontier.

Future Outlook

Looking forward, the NNPDF Collaboration’s work prompts the integration of next-generation LHC results and inspires the development of enhanced theoretical frameworks to capture emergent phenomena within collider environments. Such advancements will not only refine our understanding of the nucleon's substructure but will also provide sharper tools for probing new physics using the comprehensive datasets forthcoming from the LHC and other comparable facilities. The methodologies developed in this research, set against the backdrop of an expanding dataset, chart a promising course for future explorations in particle physics phenomenology.

In summary, NNPDF2.3 represents a substantial progression in PDF determination, fortified by methodological improvements and enriched by LHC data, bringing us closer to a thorough understanding of nucleon structure with unprecedented precision.

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