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Title: A critical appraisal and evaluation of modern PDFs

Journal Article · · European Physical Journal. C, Particles and Fields

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.

Research Organization:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
AC05-06OR23177; FG02-97ER41922; SC0008791; 05H15GUCC1; PITN-GA- 2012-316704 (HIGGSTOOLS)
OSTI ID:
1328554
Alternate ID(s):
OSTI ID: 1327811
Report Number(s):
JLAB-THY-16-2231; DOE/OR/23177-3779; 471; PII: 4285
Journal Information:
European Physical Journal. C, Particles and Fields, Journal Name: European Physical Journal. C, Particles and Fields Vol. 76 Journal Issue: 8; ISSN 1434-6044
Publisher:
Springer Science + Business MediaCopyright Statement
Country of Publication:
Germany
Language:
English
Citation Metrics:
Cited by: 350 works
Citation information provided by
Web of Science

References (113)

Parton distributions in the presence of target mass corrections journal December 2012
Uncertainties of predictions from parton distributions II: theoretical errors journal June 2004
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
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
Open heavy flavour production: conceptual framework and implementation issues journal April 2002
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
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
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
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
Leading log radiative corrections to deep inelastic neutral and charged current scattering at HERA journal March 1990
Lepton-hadron processes beyond leading order in quantum chromodynamics journal December 1982
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
Measurement and QCD analysis of neutral and charged current cross sections at HERA journal September 2003
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
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
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
Higher twist contributions to the structure functions F2p(x,Q2) and F2d(x,Q2) at large x at higher orders journal May 2008
Evolution of parton densities beyond leading order journal November 1980
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
Second-order contributions to the structure functions in deep inelastic scattering (III). The singlet case journal April 1980
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
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
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
Electroweak radiative corrections and quark mass singularities journal June 1988
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
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
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
The O(αs3) massive operator matrix elements of O(nf) for the structure function F2(x,Q2) and transversity 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 Agq(N) of the variable flavor number scheme at O(αs3) journal May 2014
The 3-loop pure singlet heavy flavor contributions to the structure function F 2 ( x , Q 2 ) and the anomalous dimension journal January 2015
The gluonic operator matrix elements at O(αs2) for DIS heavy flavor production journal March 2009
Heavy-quark deep-inelastic scattering with a running mass journal May 2011
Precision determination of αs(MZ) using an unbiased global NLO parton set journal July 2011
Precision NNLO determination of αs(MZ) using an unbiased global parton set journal January 2012
Measurement of charm production in neutrino charged-current interactions journal September 2011
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
The effect on PDFs and $$\alpha _S(M_Z^2)$$ α S ( M Z 2 ) due to changes in flavour scheme and higher twist contributions journal July 2014
The logarithmic contributions to the $$O(\alpha _s^3)$$ O ( α s 3 ) asymptotic massive Wilson coefficients and operator matrix elements in deeply inelastic scattering journal September 2014
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

Cited By (7)

Application of the rescaling model at small Bjorken x values journal December 2017
Gottfried Sum Rule in QCD Nonsinglet Analysis of DIS Fixed-Target Data journal March 2018
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
PDF Profiling Using the Forward-Backward Asymmetry in Neutral Current Drell-Yan Production text January 2019
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

Figures / Tables (35)


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