Unbiased global determination of parton distributions and their uncertainties at NNLO and at LO

The NNPDF Collaboration, Richard D. Ball, Valerio Bertone, Francesco Cerutti, Luigi Del Debbio, Stefano Forte, Alberto Guffanti, Jose I. Latorre, Juan Rojo, Maria Ubiali

Research output: Contribution to JournalArticleAcademicpeer-review

Abstract

We present a determination of the parton distributions of the nucleon from a global set of hard scattering data using the NNPDF methodology at LO and NNLO in perturbative QCD, thereby generalizing to these orders the NNPDF2.1 NLO parton set. Heavy quark masses are included using the so-called FONLL method, which is benchmarked here at NNLO. We demonstrate the stability of PDFs upon inclusion of NNLO corrections, and we investigate the convergence of the perturbative expansion by comparing LO, NLO and NNLO results. We show that the momentum sum rule can be tested with increasing accuracy at LO, NLO and NNLO. We discuss the impact of NNLO corrections on collider phenomenology, specifically by comparing to recent LHC data. We present PDF determinations using a range of values of alpha_s, m_c and m_b. We also present PDF determinations based on various subsets of the global dataset, show that they generally lead to less accurate phenomenology, and discuss the possibility of future PDF determinations based on collider data only.
Original languageEnglish
Pages (from-to)153-221
JournalNuclear Physics B
Volume855
Issue number12
DOIs
Publication statusPublished - 11 Feb 2012

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partons
phenomenology
sum rules
set theory
quantum chromodynamics
inclusions
quarks
methodology
momentum
expansion
scattering

Bibliographical note

80 pages, 51 figures. Final version, to be published in Nuclear Physics B. Many typos corrected and several plots improved: in particular Figs 5, 12, 19, 22, 23. Small corrections in Figs 33, 34. Refs 103-104 added - now fig 22-23 correctly updated. Typos in Tab.1 and Tab.10 (N_dat) corrected

Keywords

  • hep-ph

Cite this

Collaboration, T. NNPDF., Ball, R. D., Bertone, V., Cerutti, F., Debbio, L. D., Forte, S., ... Ubiali, M. (2012). Unbiased global determination of parton distributions and their uncertainties at NNLO and at LO. Nuclear Physics B, 855(12), 153-221. https://doi.org/10.1016/j.nuclphysb.2011.09.024
Collaboration, The NNPDF ; Ball, Richard D. ; Bertone, Valerio ; Cerutti, Francesco ; Debbio, Luigi Del ; Forte, Stefano ; Guffanti, Alberto ; Latorre, Jose I. ; Rojo, Juan ; Ubiali, Maria. / Unbiased global determination of parton distributions and their uncertainties at NNLO and at LO. In: Nuclear Physics B. 2012 ; Vol. 855, No. 12. pp. 153-221.
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Collaboration, TNNPDF, Ball, RD, Bertone, V, Cerutti, F, Debbio, LD, Forte, S, Guffanti, A, Latorre, JI, Rojo, J & Ubiali, M 2012, 'Unbiased global determination of parton distributions and their uncertainties at NNLO and at LO' Nuclear Physics B, vol. 855, no. 12, pp. 153-221. https://doi.org/10.1016/j.nuclphysb.2011.09.024

Unbiased global determination of parton distributions and their uncertainties at NNLO and at LO. / Collaboration, The NNPDF; Ball, Richard D.; Bertone, Valerio; Cerutti, Francesco; Debbio, Luigi Del; Forte, Stefano; Guffanti, Alberto; Latorre, Jose I.; Rojo, Juan; Ubiali, Maria.

In: Nuclear Physics B, Vol. 855, No. 12, 11.02.2012, p. 153-221.

Research output: Contribution to JournalArticleAcademicpeer-review

TY - JOUR

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AU - Collaboration, The NNPDF

AU - Ball, Richard D.

AU - Bertone, Valerio

AU - Cerutti, Francesco

AU - Debbio, Luigi Del

AU - Forte, Stefano

AU - Guffanti, Alberto

AU - Latorre, Jose I.

AU - Rojo, Juan

AU - Ubiali, Maria

N1 - 80 pages, 51 figures. Final version, to be published in Nuclear Physics B. Many typos corrected and several plots improved: in particular Figs 5, 12, 19, 22, 23. Small corrections in Figs 33, 34. Refs 103-104 added - now fig 22-23 correctly updated. Typos in Tab.1 and Tab.10 (N_dat) corrected

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N2 - We present a determination of the parton distributions of the nucleon from a global set of hard scattering data using the NNPDF methodology at LO and NNLO in perturbative QCD, thereby generalizing to these orders the NNPDF2.1 NLO parton set. Heavy quark masses are included using the so-called FONLL method, which is benchmarked here at NNLO. We demonstrate the stability of PDFs upon inclusion of NNLO corrections, and we investigate the convergence of the perturbative expansion by comparing LO, NLO and NNLO results. We show that the momentum sum rule can be tested with increasing accuracy at LO, NLO and NNLO. We discuss the impact of NNLO corrections on collider phenomenology, specifically by comparing to recent LHC data. We present PDF determinations using a range of values of alpha_s, m_c and m_b. We also present PDF determinations based on various subsets of the global dataset, show that they generally lead to less accurate phenomenology, and discuss the possibility of future PDF determinations based on collider data only.

AB - We present a determination of the parton distributions of the nucleon from a global set of hard scattering data using the NNPDF methodology at LO and NNLO in perturbative QCD, thereby generalizing to these orders the NNPDF2.1 NLO parton set. Heavy quark masses are included using the so-called FONLL method, which is benchmarked here at NNLO. We demonstrate the stability of PDFs upon inclusion of NNLO corrections, and we investigate the convergence of the perturbative expansion by comparing LO, NLO and NNLO results. We show that the momentum sum rule can be tested with increasing accuracy at LO, NLO and NNLO. We discuss the impact of NNLO corrections on collider phenomenology, specifically by comparing to recent LHC data. We present PDF determinations using a range of values of alpha_s, m_c and m_b. We also present PDF determinations based on various subsets of the global dataset, show that they generally lead to less accurate phenomenology, and discuss the possibility of future PDF determinations based on collider data only.

KW - hep-ph

U2 - 10.1016/j.nuclphysb.2011.09.024

DO - 10.1016/j.nuclphysb.2011.09.024

M3 - Article

VL - 855

SP - 153

EP - 221

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 12

ER -

Collaboration TNNPDF, Ball RD, Bertone V, Cerutti F, Debbio LD, Forte S et al. Unbiased global determination of parton distributions and their uncertainties at NNLO and at LO. Nuclear Physics B. 2012 Feb 11;855(12):153-221. https://doi.org/10.1016/j.nuclphysb.2011.09.024