Specialized minimal PDFs for optimized LHC calculations

Stefano Carrazza, Stefano Forte, Zahari Kassabov, Juan Rojo

Research output: Contribution to JournalArticleAcademicpeer-review

Abstract

We present a methodology for the construction of parton distribution functions (PDFs) designed to provide an accurate representation of PDF uncertainties for specific processes or classes of processes with a minimal number of PDF error sets: specialized minimal PDF sets, or SM-PDFs. We construct these SM-PDFs in such a way that sets corresponding to different input processes can be combined without losing information, specifically on their correlations, and that they are robust upon smooth variations of the kinematic cuts. The proposed strategy never discards information, so that the SM-PDF sets can be enlarged by the addition of new processes, until the prior PDF set is eventually recovered for a large enough set of processes. We illustrate the method by producing SM-PDFs tailored to Higgs, top quark pair, and electroweak gauge boson physics, and determine that, when the PDF4LHC15 combined set is used as the prior, around 11, 4 and 11 Hessian eigenvectors respectively are enough to fully describe the corresponding processes.
Original languageEnglish
JournalarXiv.org
Publication statusPublished - 29 Jan 2016

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partons
distribution functions
eigenvectors
kinematics
bosons
quarks
methodology
physics

Bibliographical note

31 pages, 13 figures. Final version published in Eur. Phys. J. C: typos corrected, discussion of perturbative orders added in sects 2.3 and 3.1

Keywords

  • hep-ph
  • hep-ex

Cite this

Carrazza, Stefano ; Forte, Stefano ; Kassabov, Zahari ; Rojo, Juan. / Specialized minimal PDFs for optimized LHC calculations. In: arXiv.org. 2016.
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Specialized minimal PDFs for optimized LHC calculations. / Carrazza, Stefano; Forte, Stefano; Kassabov, Zahari; Rojo, Juan.

In: arXiv.org, 29.01.2016.

Research output: Contribution to JournalArticleAcademicpeer-review

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T1 - Specialized minimal PDFs for optimized LHC calculations

AU - Carrazza, Stefano

AU - Forte, Stefano

AU - Kassabov, Zahari

AU - Rojo, Juan

N1 - 31 pages, 13 figures. Final version published in Eur. Phys. J. C: typos corrected, discussion of perturbative orders added in sects 2.3 and 3.1

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N2 - We present a methodology for the construction of parton distribution functions (PDFs) designed to provide an accurate representation of PDF uncertainties for specific processes or classes of processes with a minimal number of PDF error sets: specialized minimal PDF sets, or SM-PDFs. We construct these SM-PDFs in such a way that sets corresponding to different input processes can be combined without losing information, specifically on their correlations, and that they are robust upon smooth variations of the kinematic cuts. The proposed strategy never discards information, so that the SM-PDF sets can be enlarged by the addition of new processes, until the prior PDF set is eventually recovered for a large enough set of processes. We illustrate the method by producing SM-PDFs tailored to Higgs, top quark pair, and electroweak gauge boson physics, and determine that, when the PDF4LHC15 combined set is used as the prior, around 11, 4 and 11 Hessian eigenvectors respectively are enough to fully describe the corresponding processes.

AB - We present a methodology for the construction of parton distribution functions (PDFs) designed to provide an accurate representation of PDF uncertainties for specific processes or classes of processes with a minimal number of PDF error sets: specialized minimal PDF sets, or SM-PDFs. We construct these SM-PDFs in such a way that sets corresponding to different input processes can be combined without losing information, specifically on their correlations, and that they are robust upon smooth variations of the kinematic cuts. The proposed strategy never discards information, so that the SM-PDF sets can be enlarged by the addition of new processes, until the prior PDF set is eventually recovered for a large enough set of processes. We illustrate the method by producing SM-PDFs tailored to Higgs, top quark pair, and electroweak gauge boson physics, and determine that, when the PDF4LHC15 combined set is used as the prior, around 11, 4 and 11 Hessian eigenvectors respectively are enough to fully describe the corresponding processes.

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Carrazza S, Forte S, Kassabov Z, Rojo J. Specialized minimal PDFs for optimized LHC calculations. arXiv.org. 2016 Jan 29.