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Title: A critical appraisal and evaluation of modern PDFs

Abstract

Here, we review the present status in the determination of parton distribution functions (PDFs) in the light of the precision requirements for the LHC in Run 2 as well as other future colliders. We provide brief descriptions of all currently available PDF sets and use them to compute cross sections for a number of benchmark processes including the Higgs boson production in gluon-gluon fusion at the LHC. We show that the differences in the predictions obtained with the various PDFs are due to particular theory assumptions such as the heavy-flavor schemes used in the PDF fits, the account of power corrections and others. We comment on PDF uncertainties in the kinematic region covered by the LHC and on averaging procedures for PDFs, such as realized by the PDF4LHC15 sets. As a result, we provide recommendations for the usage of sets of PDFs for theory predictions at the LHC.

Authors:
; ; ; ; ; ; ; ; ; ; ; ;
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1328554
Alternate Identifier(s):
OSTI ID: 1327811
Report Number(s):
JLAB-THY-16-2231; DOE/OR/23177-3779
Journal ID: ISSN 1434-6044; 471; PII: 4285
Grant/Contract Number:  
AC05-06OR23177; FG02-97ER41922; SC0008791; 05H15GUCC1; PITN-GA- 2012-316704 (HIGGSTOOLS)
Resource Type:
Published Article
Journal Name:
European Physical Journal. C, Particles and Fields
Additional Journal Information:
Journal Name: European Physical Journal. C, Particles and Fields Journal Volume: 76 Journal Issue: 8; Journal ID: ISSN 1434-6044
Publisher:
Springer Science + Business Media
Country of Publication:
Germany
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Accardi, A., Alekhin, S., Blümlein, J., Garzelli, M. V., Lipka, K., Melnitchouk, W., Moch, S., Owens, J. F., Plačakytė, R., Reya, E., Sato, N., Vogt, A., and Zenaiev, O. A critical appraisal and evaluation of modern PDFs. Germany: N. p., 2016. Web. https://doi.org/10.1140/epjc/s10052-016-4285-4.
Accardi, A., Alekhin, S., Blümlein, J., Garzelli, M. V., Lipka, K., Melnitchouk, W., Moch, S., Owens, J. F., Plačakytė, R., Reya, E., Sato, N., Vogt, A., & Zenaiev, O. A critical appraisal and evaluation of modern PDFs. Germany. https://doi.org/10.1140/epjc/s10052-016-4285-4
Accardi, A., Alekhin, S., Blümlein, J., Garzelli, M. V., Lipka, K., Melnitchouk, W., Moch, S., Owens, J. F., Plačakytė, R., Reya, E., Sato, N., Vogt, A., and Zenaiev, O. Tue . "A critical appraisal and evaluation of modern PDFs". Germany. https://doi.org/10.1140/epjc/s10052-016-4285-4.
@article{osti_1328554,
title = {A critical appraisal and evaluation of modern PDFs},
author = {Accardi, A. and Alekhin, S. and Blümlein, J. and Garzelli, M. V. and Lipka, K. and Melnitchouk, W. and Moch, S. and Owens, J. F. and Plačakytė, R. and Reya, E. and Sato, N. and Vogt, A. and Zenaiev, O.},
abstractNote = {Here, we review the present status in the determination of parton distribution functions (PDFs) in the light of the precision requirements for the LHC in Run 2 as well as other future colliders. We provide brief descriptions of all currently available PDF sets and use them to compute cross sections for a number of benchmark processes including the Higgs boson production in gluon-gluon fusion at the LHC. We show that the differences in the predictions obtained with the various PDFs are due to particular theory assumptions such as the heavy-flavor schemes used in the PDF fits, the account of power corrections and others. We comment on PDF uncertainties in the kinematic region covered by the LHC and on averaging procedures for PDFs, such as realized by the PDF4LHC15 sets. As a result, we provide recommendations for the usage of sets of PDFs for theory predictions at the LHC.},
doi = {10.1140/epjc/s10052-016-4285-4},
journal = {European Physical Journal. C, Particles and Fields},
number = 8,
volume = 76,
place = {Germany},
year = {2016},
month = {8}
}

Journal Article:
Free Publicly Available Full Text
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https://doi.org/10.1140/epjc/s10052-016-4285-4

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Cited by: 23 works
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Works referenced in this record:

Parton distributions in the presence of target mass corrections
journal, December 2012


Uncertainties of predictions from parton distributions II: theoretical errors
journal, June 2004

  • Martin, A. D.; Roberts, R. G.; Stirling, W. J.
  • The European Physical Journal C, Vol. 35, Issue 3
  • DOI: 10.1140/epjc/s2004-01825-2

Parton structure of the photon beyond the leading order
journal, June 1992


Operator product expansions near the light cone
journal, April 1971


Value of α s from deep-inelastic-scattering data
journal, February 2003


Scaling violations and the gluon distribution of the nucleon
journal, June 1982

  • Gl�ck, M.; Hoffmann, E.; Reya, E.
  • Zeitschrift f�r Physik C Particles and Fields, Vol. 13, Issue 2
  • DOI: 10.1007/BF01547675

Order α2S contributions to the deep inelastic Wilson coefficient
journal, November 1991


Leptonic O(α2L) radiative corrections to deep-inelastic ep scattering in mixed variables
journal, February 2003


Higgs boson production at hadron colliders in NNLO QCD
journal, December 2002


x -space analysis for the photon structure functions in QCD
journal, March 1984


Open heavy flavour production: conceptual framework and implementation issues
journal, April 2002

  • Tung, Wu-Ki; Kretzer, Stefan; Schmidt, Carl
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 28, Issue 5
  • DOI: 10.1088/0954-3899/28/5/321

Second-order contributions to the structure functions in deep inelastic scattering (I). Theoretical calculations
journal, January 1979


Second-order contributions to the structure functions in deep inelastic scattering
journal, November 1979


Parton densities from deep inelastic scattering to hadronic processes at super collider energies
journal, March 1988

  • Diemoz, M.; Ferroni, F.; Longo, E.
  • Zeitschrift für Physik C Particles and Fields, Vol. 39, Issue 1
  • DOI: 10.1007/BF01560387

Order-αs2 QCD corrections to the deep inelastic proton structure functions F2 and FL
journal, September 1992


Two-loop massive operator matrix elements and unpolarized heavy flavor production at asymptotic values
journal, September 2007


Complete O(αS) corrections to heavy-flavour structure functions in electroproduction
journal, March 1993


Neutrino inclusive inelastic scattering off nuclei
journal, November 2007


Testing QCD scaling violations in the HERA energy range
journal, September 1990

  • Bl�mlein, J.; Ingelman, G.; Klein, M.
  • Zeitschrift f�r Physik C Particles and Fields, Vol. 45, Issue 3
  • DOI: 10.1007/BF01549682

Higher order QCD effects in inclusive annihilation and deep inelastic scattering
journal, December 1981


Non-Lagrangian Models of Current Algebra
journal, March 1969


Two-loop diagrams in Yang-Mills theory
journal, June 1974


The strange parton distribution of the nucleon: global analysis and applications
journal, April 2007


Leptoproduction of heavy quarks. II. A unified QCD formulation of charged and neutral current processes from fixed-target to collider energies
journal, September 1994

  • Aivazis, M. A. G.; Collins, John C.; Olness, Fredrick I.
  • Physical Review D, Vol. 50, Issue 5
  • DOI: 10.1103/PhysRevD.50.3102

Global study of nuclear structure functions
journal, January 2006


Measurement of the Lepton Charge Asymmetry in W -Boson Decays Produced in p p ¯ Collisions
journal, December 1998


Order αs2 correction to the structure function F3(x, Q2) in deep inelastic neutrino-hadron scattering
journal, December 1992


Leading log radiative corrections to deep inelastic neutral and charged current scattering at HERA
journal, March 1990

  • Bl�mlein, J.
  • Zeitschrift f�r Physik C Particles and Fields, Vol. 47, Issue 1
  • DOI: 10.1007/BF01551917

Lepton-hadron processes beyond leading order in quantum chromodynamics
journal, December 1982

  • Furmanski, W.; Petronzio, R.
  • Zeitschrift für Physik C Particles and Fields, Vol. 11, Issue 4
  • DOI: 10.1007/BF01578280

Asymptotically Free Gauge Theories. I
journal, November 1973


Improved calculation of F2 in electroproduction and xF3 in neutrino scattering to NNLO and determination of αs
journal, September 2001


Effects of higher-order threshold corrections in high- E T jet production
journal, February 2001


Deep-inelastic scattering from off-shell nucleons
journal, February 1994


Fixed target Drell-Yan data and NNLO QCD fits of parton distribution functions
journal, September 2006


Soft gluon resummation for heavy quark electroproduction
journal, January 1999


Treatment of heavy quarks in deeply inelastic scattering
journal, October 2000


Asymptotic freedom in parton language
journal, August 1977


Longitudinal heavy quark structure function in the region at
journal, October 2006


O(αS) corrections to heavy-flavour inclusive distributions in electroproduction
journal, March 1993


Space and time like cut vertices in QCD beyond the leading order - non-singlet sector
journal, January 1981


Effects of QCD resummation on distributions of leptons from the decay of electroweak vector bosons
journal, August 1995


The gell-mann-low function of QCD in the three-loop approximation
journal, June 1980


Characteristics of heavy quark leptoproduction in QCD
journal, January 1979


Charged current deep-inelastic scattering at three loops
journal, October 2007


The longitudinal structure function at the third order
journal, January 2005


$$\mathcal{O}(\alpha ^2 L^2 )$$ radiative corrections to deep inelasticep scattering for different kinematical variables
journal, June 1995

  • Blümlein, Johannes
  • Zeitschrift für Physik C Particles and Fields, Vol. 65, Issue 2
  • DOI: 10.1007/BF01571886

Chromodynamic corrections to neutrino production of heavy quarks
journal, January 1981


The mellin transform technique for the extraction of the gluon density
journal, March 1996

  • Graudenz, D.; Hampel, M.; Vogt, A.
  • Zeitschrift für Physik C: Particles and Fields, Vol. 70, Issue 1
  • DOI: 10.1007/s002880050083

Higher twist contributions to the structure functions <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msubsup><mml:mi>F</mml:mi><mml:mn>2</mml:mn><mml:mi>p</mml:mi></mml:msubsup><mml:mo stretchy="false">(</mml:mo><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:msup><mml:mi>Q</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo stretchy="false">)</mml:mo></mml:math> and <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msubsup><mml:mi>F</mml:mi><mml:mn>2</mml:mn><mml:mi>d</mml:mi></mml:msubsup><mml:mo stretchy="false">(</mml:mo><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:msup><mml:mi>Q</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo stretchy="false">)</mml:mo></mml:math> at large x at higher orders
journal, May 2008


Evolution of parton densities beyond leading order
journal, November 1980


The correct renormalization of the gluon operator in a covariant gauge
journal, July 1992


Parton distribution functions and benchmark cross sections at next-to-next-to-leading order
journal, September 2012


The four-loop β-function in quantum chromodynamics
journal, May 1997


Relativistic deuteron structure function
journal, August 1994


Review of Particle Physics
journal, August 2014


NNLO corrections to the total cross section for Higgs boson production in hadron–hadron collisions
journal, August 2003


Heavy quark contributions to deep inelastic scattering
journal, March 1976


Asymptotic Behavior of Non-Abelian Gauge Theories to Two-Loop Order
journal, July 1974


Ultraviolet Behavior of Non-Abelian Gauge Theories
journal, June 1973


Reliable Perturbative Results for Strong Interactions?
journal, June 1973


Measurement of kinematic and nuclear dependence of R = σ L σ T in deep inelastic electron scattering
journal, June 1994


Comparison between variable flavor number schemes for charm quark electroproduction
journal, April 2000


Higher-order effects in asymptotically free gauge theories
journal, June 1979


The third-order QCD corrections to deep-inelastic scattering by photon exchange
journal, September 2005


Next-to-leading order analysis of the deep inelastic R = σL/σT
journal, April 1991


Scaling violation in the infinite-momentum frame
journal, May 1978


Second-order contributions to the structure functions in deep inelastic scattering (III). The singlet case
journal, April 1980


Quantum-chromodynamic estimates for heavy-particle production
journal, July 1978


Higher-order constraints on the Higgs production rate from fixed-target DIS data
journal, August 2011


Asymptotically free gauge theories. II
journal, February 1974


Deep-inelastic structure functions at two loops
journal, May 2000


The evolution of unpolarized singlet structure functions at small x
journal, June 1998


Non-singlet QCD analysis of deep inelastic world data at
journal, July 2007


High energy factorization and small-x heavy flavour production
journal, November 1991


Extracting parton densities from collider data
journal, June 1998


Theoretical uncertainties in the QCD evolution of structure functions and their impact on αs(MZ2)
journal, December 1996

  • Blümlein, J.; Riemersma, S.; van Neerven, W. L.
  • Nuclear Physics B - Proceedings Supplements, Vol. 51, Issue 3
  • DOI: 10.1016/S0920-5632(96)90012-2

Leading log radiative corrections to ep scattering including jet measurement
journal, November 1991


The four-loop QCD β-function and anomalous dimensions
journal, March 2005


CT10 next-to-next-to-leading order global analysis of QCD
journal, February 2014


Freedom at moderate energies: Masses in color dynamics
journal, October 1976


Operator products at almost light like distances
journal, July 1971


QED corrections to the evolution of parton distributions
journal, June 2004


Rates for inclusive deep-inelastic electroproduction of charm quarks at HERA
journal, March 1995


Electroweak radiative corrections and quark mass singularities
journal, June 1988

  • Kripfganz, J.; Perlt, H.
  • Zeitschrift für Physik C Particles and Fields, Vol. 41, Issue 2
  • DOI: 10.1007/BF01566932

Infrared singularities and massive fields
journal, May 1975


Pocket partonometer
journal, May 1986


Higgs boson production at the LHC
journal, October 1995


HERACLES: an event generator for ep interactions at HERA energies including radiative processes
journal, February 1992


The total cross section for the production of heavy quarks in hadronic collisions
journal, July 1988


Singlet parton densities beyond leading order
journal, December 1980


The three-loop QCD β-function and anomalous dimensions
journal, April 1993


Electroproduction scaling in an asymptotically free theory of strong interactions
journal, January 1974


Space- and time-like cut vertices in QCD beyond the leading order—The singlet sector
journal, January 1981


The intrinsic charm of the proton
journal, June 1980


Towards a global analysis of polarized parton distributions
journal, November 2001


A measurement of differential cross-sections and nucleon structure functions in charged-current neutrino interactions on iron
journal, June 1991

  • Berge, P.; Burkhardt, H.; Dydak, F.
  • Zeitschrift f�r Physik C Particles and Fields, Vol. 49, Issue 2
  • DOI: 10.1007/BF01555493

Contribution of the second order gluonic Wilson coefficient to the deep inelastic structure function
journal, December 1991


PDF dependence of Higgs cross sections at the Tevatron and LHC: response to recent criticism
journal, August 2011


QED radiative corrections for parton distributions
journal, November 1995


Heavy quark coefficient functions at asymptotic values Q2 ⪢ m2
journal, July 1996


Differences between charged-current coefficient functions
journal, February 2008


Non-singlet QCD analysis of up to NNLO
journal, October 2006


QCD corrections to heavy-quark production in p p ¯ collisions
journal, July 1989

  • Beenakker, W.; Kuijf, H.; van Neerven, W. L.
  • Physical Review D, Vol. 40, Issue 1
  • DOI: 10.1103/PhysRevD.40.54

Charm electroproduction viewed in the variable-flavour number scheme versus fixed-order perturbation theory
journal, March 1998

  • Buza, M.; Matiounine, Y.; Smith, J.
  • The European Physical Journal C, Vol. 1, Issue 1-2
  • DOI: 10.1007/bf01245820

Higher-order effects in asymptotically free gauge theories: The anomalous dimensions of Wilson operators
journal, October 1977


The one particle inclusive differential cross section for heavy quark production in hadronic collisions
journal, November 1989


Third-order QCD corrections to the charged-current structure function
journal, May 2009


Mellin moments of the heavy flavor contributions to unpolarized deep-inelastic scattering at and anomalous dimensions
journal, October 2009


Heavy quarks in deep-inelastic scattering
journal, July 2010


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journal, March 2011


On the next-to-next-to-leading order QCD corrections to heavy-quark production in deep-inelastic scattering
journal, November 2012


Parton distributions with LHC data
journal, February 2013


The transition matrix element <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:msub><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mi>g</mml:mi><mml:mi>q</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> of the variable flavor number scheme at <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mi>O</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msubsup><mml:mrow><mml:mi>α</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msubsup><mml:mo stretchy="false">)</mml:mo></mml:math>
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The gluonic operator matrix elements at <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>O</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msubsup><mml:mi>α</mml:mi><mml:mi>s</mml:mi><mml:mn>2</mml:mn></mml:msubsup><mml:mo stretchy="false">)</mml:mo></mml:math> for DIS heavy flavor production
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Heavy-quark deep-inelastic scattering with a running mass
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Precision determination of <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi>α</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>M</mml:mi><mml:mi>Z</mml:mi></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:math> using an unbiased global NLO parton set
journal, July 2011


Precision NNLO determination of <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi>α</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>M</mml:mi><mml:mi>Z</mml:mi></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:math> using an unbiased global parton set
journal, January 2012


RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses
journal, December 2000


Measurement of charm production in neutrino charged-current interactions
journal, September 2011


Shadowing, binding, and off-shell effects in nuclear deep-inelastic scattering
journal, August 1994


Measurement of the forward-backward charge asymmetry from W e ν production in p p ¯ collisions at s = 1.96     TeV
journal, March 2005


Measurement of the muon charge asymmetry from W boson decays
journal, January 2008


Charm and bottom quark masses: An update
journal, October 2009


New parton distributions from large- x and low- Q 2 data
journal, February 2010


Measurement of the rapidity and transverse momentum distributions of Z bosons in p p collisions at ( s ) = 7 TeV
journal, February 2012


Global parton distributions with nuclear and finite- Q 2 corrections
journal, May 2013


The ABM parton distributions tuned to LHC data
journal, March 2014


Nuclear Corrections in Neutrino-Nucleus Deep Inelastic Scattering and their Compatibility with Global Nuclear Parton-Distribution-Function Analyses
journal, March 2011


Measurement of the Electron Charge Asymmetry in Inclusive W Production in p p Collisions at s = 7 TeV
journal, September 2012


Second-Order QCD Corrections to Jet Production at Hadron Colliders: The All-Gluon Contribution
journal, April 2013


New Limits on Intrinsic Charm in the Nucleon from Global Analysis of Parton Distributions
journal, February 2015


Next-to-Next-to-Leading Order Higgs Production at Hadron Colliders
journal, May 2002


A posteriori inclusion of parton density functions in NLO QCD final-state calculations at hadron colliders: the APPLGRID project
journal, February 2010


Heavy-quark mass dependence in global PDF analyses and 3- and 4-flavour parton distributions
journal, October 2010


Extended parameterisations for MSTW PDFs and their effect on lepton charge asymmetry from W decays
journal, February 2013


Differential distributions for top-quark hadro-production with a running mass
journal, November 2014


Measurements of differential and double-differential Drell–Yan cross sections in proton–proton collisions at $$\sqrt{s} = 8$$ s = 8 $$\,\text {TeV}$$ TeV
journal, April 2015


    Works referencing / citing this record:

    Precision phenomenology with MCFM
    journal, December 2019


    Open-source QCD analysis of nuclear parton distribution functions at NLO and NNLO
    journal, November 2019


    Application of the rescaling model at small Bjorken x values
    journal, December 2017


    Nuclear structure functions at a future electron-ion collider
    journal, December 2017


    QCD Coupling from a Nonperturbative Determination of the Three-Flavor Λ Parameter
    journal, September 2017


    First Extraction of Transversity from a Global Analysis of Electron-Proton and Proton-Proton Data
    journal, May 2018


    Gottfried Sum Rule in QCD Nonsinglet Analysis of DIS Fixed-Target Data
    journal, March 2018

    • Kotikov, A. V.; Krivokhizhin, V. G.; Shaikhatdenov, B. G.
    • Physics of Atomic Nuclei, Vol. 81, Issue 2
    • DOI: 10.1134/s1063778818020126

    Charm Production and QCD Analysis at HERA and LHC
    text, January 2017


    Systematic uncertainties in parton distribution functions from lattice QCD simulations at the physical point
    text, January 2019

    • Alexandrou, Constantia; Cichy, Krzysztof; Constantinou, Martha
    • Deutsches Elektronen-Synchrotron, DESY, Hamburg
    • DOI: 10.3204/pubdb-2019-02720

    PDF Profiling Using the Forward-Backward Asymmetry in Neutral Current Drell-Yan Production
    text, January 2019

    • Accomando, Elena; Fiaschi, Juri; Hautmann, Francesco
    • Deutsches Elektronen-Synchrotron, DESY, Hamburg
    • DOI: 10.3204/pubdb-2019-04768

    FLAG Review 2019
    text, January 2019


    Measurement of the top quark forward-backward production asymmetry and the anomalous chromoelectric and chromomagnetic moments in pp collisions at $\sqrt{s}=$ 13 TeV
    text, January 2020

    • Sirunyan, Albert M.; Tumasyan, Armen; Adam, Wolfgang
    • Deutsches Elektronen-Synchrotron, DESY, Hamburg
    • DOI: 10.3204/pubdb-2020-02641