Charting the coming synergy between lattice QCD and high-energy phenomenology

Hobbs, T. J.; Wang, Bo-Ting; Nadolsky, Pavel M.; Olness, Fredrick I.

doi:10.1103/PhysRevD.100.094040

Title: Charting the coming synergy between lattice QCD and high-energy phenomenology

Abstract

Building upon the PDFSense framework developed in Ref. [1], we perform a comprehensive analysis of the sensitivity of present and future high-energy data to a number of quantities commonly evaluated in lattice gauge theory, with a particular focus on the integrated Mellin moments of nucleon parton distribution functions (PDFs), such as $$\langle x \rangle_{u^+ - d^+}$$ and $$\langle x \rangle_{g}$$, as well as $x$-dependent quark quasi-distributions --- in particular, that of the isovector combination. Our results demonstrate the potential for lattice calculations and phenomenological quark distributions informed by high-energy experimental data to cooperatively improve the picture of the nucleon's collinear structure. This will increasingly be the case as computational resources for lattice calculations further expand, and QCD global analyses continue to grow in sophistication. Our sensitivity analysis suggests that a future lepton-hadron collider would be especially instrumental in providing phenomenological constraints to lattice observables.

Authors:

; Wang, Bo-Ting; Nadolsky, Pavel M.; Olness, Fredrick I.

Publication Date:: 2019-11-27

Research Org.:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1575963

Alternate Identifier(s):: OSTI ID: 1576228

Report Number(s):: JLAB-PHY-19-3038; DOE/OR/23177-4854; arXiv:1904.00022
Journal ID: ISSN 2470-0010; PRVDAQ; 094040

Grant/Contract Number:: SC0010129; AC05-06OR23177

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 9; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Hobbs, T. J., Wang, Bo-Ting, Nadolsky, Pavel M., and Olness, Fredrick I. Charting the coming synergy between lattice QCD and high-energy phenomenology.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevD.100.094040.

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                    Hobbs, T. J., Wang, Bo-Ting, Nadolsky, Pavel M., & Olness, Fredrick I. Charting the coming synergy between lattice QCD and high-energy phenomenology.  United States.  https://doi.org/10.1103/PhysRevD.100.094040

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                    Hobbs, T. J., Wang, Bo-Ting, Nadolsky, Pavel M., and Olness, Fredrick I. Wed .  
"Charting the coming synergy between lattice QCD and high-energy phenomenology".  United States.  https://doi.org/10.1103/PhysRevD.100.094040.

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@article{osti_1575963,

  title        = {Charting the coming synergy between lattice QCD and high-energy phenomenology},

  author       = {Hobbs, T. J. and Wang, Bo-Ting and Nadolsky, Pavel M. and Olness, Fredrick I.},

  abstractNote = {Building upon the PDFSense framework developed in Ref. [1], we perform a comprehensive analysis of the sensitivity of present and future high-energy data to a number of quantities commonly evaluated in lattice gauge theory, with a particular focus on the integrated Mellin moments of nucleon parton distribution functions (PDFs), such as $\langle x \rangle_{u^+ - d^+}$ and $\langle x \rangle_{g}$, as well as $x$-dependent quark quasi-distributions --- in particular, that of the isovector combination. Our results demonstrate the potential for lattice calculations and phenomenological quark distributions informed by high-energy experimental data to cooperatively improve the picture of the nucleon's collinear structure. This will increasingly be the case as computational resources for lattice calculations further expand, and QCD global analyses continue to grow in sophistication. Our sensitivity analysis suggests that a future lepton-hadron collider would be especially instrumental in providing phenomenological constraints to lattice observables.},

  doi          = {10.1103/PhysRevD.100.094040},

  journal      = {Physical Review D},

  number       = 9,

  volume       = 100,

  place        = {United States},

  year         = {2019},

  month        = {11}

}

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Khachatryan, V.; Sirunyan, A. M.; Tumasyan, A.
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The European Physical Journal C, Vol. 71, Issue 3
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Measurement of the ratios of the <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>Z</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:msup><mml:mi>γ</mml:mi><mml:mo>∗</mml:mo></mml:msup><mml:mo>+</mml:mo><mml:mo>⩾</mml:mo><mml:mi>n</mml:mi></mml:math> jet production cross sections to the total inclusive <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:mi>Z</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:msup><mml:mi>γ</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:math> cross section in <mml:math altimg="si3.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>p</mml:mi><mml:mover accent="true"><mml:mi>p</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:math> collisions at <mml:math altimg="si4.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:msqrt><mml:mi>s</mml:mi></mml:msqrt><mml:mo>=</mml:mo><mml:mn>1.96</mml:mn><mml:mtext> TeV</mml:mtext></mml:math>
journal, January 2008

Abazov, V. M.; Abbott, B.; Abolins, M.
Physics Letters B, Vol. 658, Issue 4
DOI: 10.1016/j.physletb.2007.10.046

Measurement 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:mi>d</mml:mi><mml:mi>σ</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:mi>d</mml:mi><mml:mi>y</mml:mi></mml:math> of Drell–Yan <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:msup><mml:mi>e</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>e</mml:mi><mml:mo>−</mml:mo></mml:msup></mml:math> pairs in the Z mass region from <mml:math altimg="si3.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>p</mml:mi><mml:mover accent="true"><mml:mi>p</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:math> collisions at <mml:math altimg="si4.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:msqrt><mml:mi>s</mml:mi></mml:msqrt><mml:mo>=</mml:mo><mml:mn>1.96</mml:mn><mml:mtext> TeV</mml:mtext></mml:math>
journal, September 2010

Aaltonen, T.; Adelman, J.; Álvarez González, B.
Physics Letters B, Vol. 692, Issue 4
DOI: 10.1016/j.physletb.2010.06.043

A lattice determination of moments of unpolarized nucleon structure functions using improved Wilson fermions
journal, June 2005

Göckeler, M.; Horsley, R.; Pleiter, D.
Physical Review D, Vol. 71, Issue 11
DOI: 10.1103/PhysRevD.71.114511

Parton distributions from lattice QCD
journal, August 2001

Detmold, W.; Melnitchouk, W.; Thomas, A. W.
EPJ direct, Vol. 3, Issue 1
DOI: 10.1007/s1010501c0013

Measurement 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:mi>Z</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:msup><mml:mi>γ</mml:mi><mml:mo>∗</mml:mo></mml:msup><mml:mo>+</mml:mo><mml:mi mathvariant="normal">jet</mml:mi><mml:mo>+</mml:mo><mml:mi>X</mml:mi></mml:math> angular distributions in <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:mi>p</mml:mi><mml:mover accent="true"><mml:mi>p</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:math> collisions at <mml:math altimg="si3.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:msqrt><mml:mi>s</mml:mi></mml:msqrt><mml:mo>=</mml:mo><mml:mn>1.96</mml:mn><mml:mtext> TeV</mml:mtext></mml:math>
journal, January 2010

Abazov, V. M.; Abbott, B.; Abolins, M.
Physics Letters B, Vol. 682, Issue 4-5
DOI: 10.1016/j.physletb.2009.11.012

A Lattice determination of moments of unpolarised nucleon structure functions using improved Wilson fermions
text, January 2005

Gockeler, M.; Horsley, R.; Pleiter, D.
Deutsches Elektronen-Synchrotron, DESY, Hamburg
DOI: 10.3204/pubdb-2017-06392

Nucleon Spin and Momentum Decomposition Using Lattice QCD Simulations
text, January 2017

Alexandrou, C.; Constantinou, M.; Hadjiyiannakou, K.
Deutsches Elektronen-Synchrotron, DESY, Hamburg
DOI: 10.3204/pubdb-2018-01264

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Citation Formats

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Measurement of the inclusive jet cross section at the Fermilab Tevatron p p ¯ collider using a cone-based jet algorithm journal, September 2008

Measurement of forward W and Z boson production in pp collisions at s = 8 $$ \sqrt{s}=8 $$ TeV journal, January 2016

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Gottfried sum from the ratio F 2 n / F 2 p journal, May 1991

Measurement of inclusive jet and dijet production in p p collisions at s = 7 TeV using the ATLAS detector journal, July 2012

Improved Determination of α s From Neutrino-Nucleon Scattering journal, August 1997

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

Perturbative renormalization of quasi-parton distribution functions journal, September 2017

Normal products and the short distance expansion in the perturbation theory of renormalizable interactions journal, May 1973

Erratum to: Measurement of the inclusive jet cross-section in proton-proton collisions at s = 7 $$ \sqrt{s}=7 $$ TeV using 4.5 fb−1 of data with the ATLAS detector journal, September 2015

Measurements of differential jet cross sections in proton-proton collisions at s = 7 TeV with the CMS detector journal, June 2013

Measurement of the proton and deuteron structure functions, F2p and F2d, and of the ratio journal, January 1997

The moment ⟨ x ⟩ u − d of the nucleon from N f = 2 lattice QCD down to nearly physical quark masses journal, October 2014

Moments of nucleon light cone quark distributions calculated in full lattice QCD journal, August 2002

Light-Cone Parton Distribution Functions from Lattice QCD journal, September 2018

Transverse momentum dependent distribution functions in the bag model journal, April 2010

Taming the Pion Cloud of the Nucleon journal, April 2012

Combination of measurements of inclusive deep inelastic $${e^{\pm }p}$$ e ± p scattering cross sections and QCD analysis of HERA data: H1 and ZEUS Collaborations journal, December 2015

Parton distributions in the LHC era: MMHT 2014 PDFs journal, May 2015

Non-Lagrangian Models of Current Algebra journal, March 1969

Publisher’s Note: Measurements of differential jet cross sections in proton-proton collisions at s = 7 TeV with the CMS detector [Phys. Rev. D 87 , 112002 (2013)] journal, June 2013

New Generation of Parton Distributions with Uncertainties from Global QCD Analysis journal, July 2002

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Mapping the sensitivity of hadronic experiments to nucleon structure journal, November 2018

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Quasi-parton distribution functions, momentum distributions, and pseudo-parton distribution functions journal, August 2017

Phenomenology of nonperturbative charm in the nucleon journal, April 2014

Combination and QCD analysis of charm production cross section measurements in deep-inelastic ep scattering at HERA journal, February 2013

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Nucleon isovector structure functions in ( 2 + 1 )-flavor QCD with domain wall fermions journal, July 2010

Quantifying finite-momentum effects in the quark quasidistribution functions of mesons journal, March 2018

Constraints on large- x parton distributions from new weak boson production and deep-inelastic scattering data journal, June 2016

Parton distributions and lattice QCD calculations: A community white paper journal, May 2018

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

Forward-Backward Charge Asymmetry of Electron Pairs above the Z 0 Pole journal, September 1996

Measurement of the double-differential high-mass Drell-Yan cross section in pp collisions at s = 8 $$ \sqrt{s}=8 $$ TeV with the ATLAS detector journal, August 2016

Inclusive W and Z production in the forward region at $ \sqrt {s} = 7\,{\text{TeV}} $ journal, June 2012

Precise measurement of dimuon production cross sections in ν μ Fe and ν ¯ μ Fe deep inelastic scattering at the Fermilab Tevatron journal, November 2001

Nucleon Spin and Momentum Decomposition Using Lattice QCD Simulations journal, October 2017

Uncertainties of predictions from parton distribution functions. I. The Lagrange multiplier method journal, December 2001

Measurement of the forward Z boson production cross-section in pp collisions at s = 7 $$ \sqrt{s}=7 $$ TeV journal, August 2015

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A high statistics measurement of the deuteron structure functions F2(x, Q2) and R from deep inelastic muon scattering at high Q2 journal, March 1990

Lattice operators for moments of the structure functions and their transformation under the hypercubic group journal, November 1996

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Parton distributions from high-precision collider data: NNPDF Collaboration journal, October 2017

Parton Physics on a Euclidean Lattice journal, June 2013

Bayesian analysis of light-front models and the nucleon’s charmed sigma term journal, October 2017

Asymptotically free gauge theories. II journal, February 1974

Improved measurement of the d ¯ / ū asymmetry in the nucleon sea journal, August 2001

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Measurement of the electron charge asymmetry in p p ¯ → W + X → e ν + X decays in p p ¯ collisions at s = 1.96 TeV journal, February 2015

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A general method for non-perturbative renormalization of lattice operators journal, July 1995

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Extraction of Parton Distributions from Lattice qcd
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Measurement of forward W and Z boson production in pp collisions at s = 8 $$ \sqrt{s}=8 $$ TeV
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Normal products and the short distance expansion in the perturbation theory of renormalizable interactions
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Measurements of differential jet cross sections in proton-proton collisions at $\sqrt{s} = 7 TeV$ with the CMS detector
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Moments of nucleon light cone quark distributions calculated in full lattice QCD
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Light-Cone Parton Distribution Functions from Lattice QCD
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Taming the Pion Cloud of the Nucleon
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Non-Lagrangian Models of Current Algebra
journal, March 1969

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New Generation of Parton Distributions with Uncertainties from Global QCD Analysis
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Asymptotically Free Gauge Theories. I
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Erratum: Measurement of the electron charge asymmetry in $p \bar{p} \to W + X \to e ν + X$ decays in $p \bar{p}$ collisions at $\sqrt{s} = 1.96 TeV$ [Phys. Rev. D 91 , 032007 (2015)]
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The structure of the proton in the LHC precision era
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First direct lattice-QCD calculation of the $x$ -dependence of the pion parton distribution function
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Measurement of the inclusive jet cross-section in proton-proton collisions at s = 7 $$ \sqrt{s}=7 $$ TeV using 4.5 fb−1 of data with the ATLAS detector
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Measurement of the Z/γ * boson transverse momentum distribution in pp collisions at s = 7 $$ \sqrt{s}=7 $$ TeV with the ATLAS detector
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CTEQ-TEA parton distribution functions and HERA Run I and II combined data
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Quasi-parton distribution functions, momentum distributions, and pseudo-parton distribution functions
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Phenomenology of nonperturbative charm in the nucleon
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Combination and QCD analysis of charm production cross section measurements in deep-inelastic ep scattering at HERA
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Electron-Ion Collider: The next QCD frontier: Understanding the glue that binds us all
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Flavor structure of the nucleon sea from lattice QCD
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Experimental consistency in parton distribution fitting
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Isovector charges of the nucleon from $2 + 1 + 1$ -flavor lattice QCD
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Pion valence quark distribution from matrix element calculated in lattice QCD
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Physics opportunities of a fixed-target experiment using LHC beams
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A high statistics measurement of the proton structure functions F2(x, Q2) and R from deep inelastic muon scattering at high Q2
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Erratum: Measurement of the inclusive jet cross section at the Fermilab Tevatron $p \bar{p}$ collider using a cone-based jet algorithm [Phys. Rev. D 78 , 052006 (2008)]
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Physics opportunities with the 12 GeV upgrade at Jefferson Lab
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Nucleon isovector structure functions in ( $2 + 1$ )-flavor QCD with domain wall fermions
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Quantifying finite-momentum effects in the quark quasidistribution functions of mesons
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Constraints on large- $x$ parton distributions from new weak boson production and deep-inelastic scattering data
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Parton distributions and lattice QCD calculations: A community white paper
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Measurement of the ratio of inclusive jet cross sections using the anti- $k_{T}$ algorithm with radius parameters $R = 0.5$ and 0.7 in $p p$ collisions at $\sqrt{s} = 7 TeV$
journal, October 2014

Measurement of the forward-backward charge asymmetry from $W \to e ν$ production in $p \bar{p}$ collisions at $\sqrt{s} = 1.96 TeV$
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Forward-Backward Charge Asymmetry of Electron Pairs above the $Z^{0}$ Pole
journal, September 1996

Measurement of the double-differential high-mass Drell-Yan cross section in pp collisions at s = 8 $$ \sqrt{s}=8 $$ TeV with the ATLAS detector
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Inclusive W and Z production in the forward region at $ \sqrt {s} = 7\,{\text{TeV}} $
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Precise measurement of dimuon production cross sections in $ν_{μ} Fe$ and ${\bar{ν}}_{μ} Fe$ deep inelastic scattering at the Fermilab Tevatron
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Nucleon Spin and Momentum Decomposition Using Lattice QCD Simulations
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Uncertainties of predictions from parton distribution functions. I. The Lagrange multiplier method
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Measurement of the forward Z boson production cross-section in pp collisions at s = 7 $$ \sqrt{s}=7 $$ TeV
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Parton distribution functions in the pion from lattice QCD
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Uncertainties of predictions from parton distribution functions. II. The Hessian method
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$\bar{d} - \bar{u}$ Asymmetry in the Proton in Chiral Effective Theory
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A high statistics measurement of the deuteron structure functions F2(x, Q2) and R from deep inelastic muon scattering at high Q2
journal, March 1990

Lattice operators for moments of the structure functions and their transformation under the hypercubic group
journal, November 1996

Constraining nucleon strangeness
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Parton distributions from high-precision collider data: NNPDF Collaboration
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Parton Physics on a Euclidean Lattice
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Bayesian analysis of light-front models and the nucleon’s charmed sigma term
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Asymptotically free gauge theories. II
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Improved measurement of the $\bar{d} / ū$ asymmetry in the nucleon sea
journal, August 2001

Nucleon quark distribution functions from the Dyson–Schwinger equations
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Measurement of the electron charge asymmetry in $p \bar{p} \to W + X \to e ν + X$ decays in $p \bar{p}$ collisions at $\sqrt{s} = 1.96 TeV$
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A statistical approach for polarized parton distributions
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A general method for non-perturbative renormalization of lattice operators
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Measurement of the differential cross section and charge asymmetry for inclusive $$\mathrm {p}\mathrm {p}\rightarrow \mathrm {W}^{\pm }+X$$ p p → W ± + X production at $${\sqrt{s}} = 8$$ s = 8 TeV
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