Built on

R. S. Sufian, J. Karpie, C. Egerer, K. Orginos, J.-W. Qiu, and D. G. Richards, Pion Valence Quark Distribution from Matrix Element Calculated in Lattice QCD
Original
1901
Earlier work this paper cites.
C. Alexandrou, K. Cichy, M. Constantinou, K. Hadjiyiannakou, K. Jansen, A. Scapellato, and F. Steffens, Systematic uncertainties in parton distribution functions from lattice QCD simulations at the physical point
Original
1902
Earlier work this paper cites.
T. Izubuchi, L. Jin, C. Kallidonis, N. Karthik, S. Mukherjee, P. Petreczky, C. Shugert, and S. Syritsyn, Valence parton distribution function of pion from fine lattice
Original
1905
Earlier work this paper cites.
J. C. Collins, INTRINSIC TRANSVERSE MOMENTUM. 1. NONGAUGE THEORIES
1980
Earlier work this paper cites.
J. C. Collins and D. E. Soper, Parton Distribution and Decay Functions
1982
Earlier work this paper cites.
V. Braun, P. Gornicki, and L. Mankiewicz, Ioffe - time distributions instead of parton momentum distributions in description of deep inelastic scattering
1995
Earlier work this paper cites.
G. Martinelli, C. Pittori, C. T. Sachrajda, M. Testa, and A. Vladikas, A General method for nonperturbative renormalization of lattice operators
1995
Earlier work this paper cites.
A. Vogt, Efficient evolution of unpolarized and polarized parton distributions with QCD-PEGASUS
2005
Earlier work this paper cites.
W. Detmold and C. J. D. Lin, Deep-inelastic scattering and the operator product expansion in lattice QCD
2006
Earlier work this paper cites.
V. Braun and D. Mueller, Exclusive processes in position space and the pion distribution amplitude
Original
2008
Earlier work this paper cites.
A. D. Martin, W. J. Stirling, R. S. Thorne, and G. Watt, Parton distributions for the LHC
Original
2009
Earlier work this paper cites.
R. D. Ball, L. Del Debbio, S. Forte, A. Guffanti, J. I. Latorre, J. Rojo, and M. Ubiali, A first unbiased global NLO determination of parton distributions and their uncertainties
Original
2010
Earlier work this paper cites.
X. Ji, Parton physics on a euclidean lattice
2013
Earlier work this paper cites.
X. Ji, Parton Physics from Large-Momentum Effective Field Theory
Original
2014
Earlier work this paper cites.
X. Xiong, X. Ji, J.-H. Zhang, and Y. Zhao, One-loop matching for parton distributions: Nonsinglet case
Original
2014
Earlier work this paper cites.
S. Syritsyn, Review of Hadron Structure Calculations on a Lattice
Original
2014
Earlier work this paper cites.
A. Buckley, J. Ferrando, S. Lloyd, K. Nordström, B. Page, M. Rüfenacht, M. Schönherr, and G. Watt, LHAPDF6: parton density access in the LHC precision era
Original
2015
Earlier work this paper cites.
X. Ji and J.-H. Zhang, Renormalization of quasiparton distribution
Original
2015
Earlier work this paper cites.
X. Ji, A. Schäfer, X. Xiong, and J.-H. Zhang, One-Loop Matching for Generalized Parton Distributions
Original
2015
Earlier work this paper cites.
X. Xiong and J.-H. Zhang, One-loop matching for transversity generalized parton distribution
Original
2015
Earlier work this paper cites.
H.-W. Lin, J.-W. Chen, S. D. Cohen, and X. Ji, Flavor Structure of the Nucleon Sea from Lattice QCD
Original
2015
Earlier work this paper cites.
C. Alexandrou, K. Cichy, V. Drach, E. Garcia-Ramos, K. Hadjiyiannakou, K. Jansen, F. Steffens, and C. Wiese, Lattice calculation of parton distributions
Original
2015
Earlier work this paper cites.

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2015
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Y.-Q. Ma and J.-W. Qiu, Extracting Parton Distribution Functions from Lattice QCD Calculations
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2018
Later among the works it cites.
Y.-Q. Ma and J.-W. Qiu, Exploring Partonic Structure of Hadrons Using ab initio Lattice QCD Calculations
Original
2018
Later among the works it cites.
T. Izubuchi, X. Ji, L. Jin, I. W. Stewart, and Y. Zhao, Factorization Theorem Relating Euclidean and Light-Cone Parton Distributions
Original
2018
Later among the works it cites.
W. Wang, S. Zhao, and R. Zhu, Gluon quasidistribution function at one loop
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Later among the works it cites.
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2019

Parton distributions from lattice data: the nonsinglet case

Cichy, Krzysztof, Del Debbio, Luigi, Giani, Tommaso

Understand

We revise the relation between Parton Distribution Functions (PDFs) and matrix elements computable from lattice QCD, focusing on the quasi-Parton Distribution Functions (qPDFs) approach.

We exploit the relation between PDFs and qPDFs in the case of the unpolarized isovector parton distribution to obtain a factorization formula relating the real and imaginary part of qPDFs matrix elements to specific nonsinglet distributions, and we propose a general framework to extract PDFs from the available lattice data, treating them on the same footing as experimental data.
We implement the proposed approach within the NNPDF framework, and we study the potentiality of such lattice data in constraining PDFs, assuming some plausible scenarios to assess the unknown systematic uncertainties.
We finally extract the two nonsinglet distributions involved in our analysis from a selection of the available lattice data.

Built on

R. S. Sufian, J. Karpie, C. Egerer, K. Orginos, J.-W. Qiu, and D. G. Richards, Pion Valence Quark Distribution from Matrix Element Calculated in Lattice QCD
Original
1901
Earlier work this paper cites.
C. Alexandrou, K. Cichy, M. Constantinou, K. Hadjiyiannakou, K. Jansen, A. Scapellato, and F. Steffens, Systematic uncertainties in parton distribution functions from lattice QCD simulations at the physical point
Original
1902
Earlier work this paper cites.
T. Izubuchi, L. Jin, C. Kallidonis, N. Karthik, S. Mukherjee, P. Petreczky, C. Shugert, and S. Syritsyn, Valence parton distribution function of pion from fine lattice
Original
1905
Earlier work this paper cites.
J. C. Collins, INTRINSIC TRANSVERSE MOMENTUM. 1. NONGAUGE THEORIES
1980
Earlier work this paper cites.
J. C. Collins and D. E. Soper, Parton Distribution and Decay Functions
1982
Earlier work this paper cites.
V. Braun, P. Gornicki, and L. Mankiewicz, Ioffe - time distributions instead of parton momentum distributions in description of deep inelastic scattering
1995
Earlier work this paper cites.
G. Martinelli, C. Pittori, C. T. Sachrajda, M. Testa, and A. Vladikas, A General method for nonperturbative renormalization of lattice operators
1995
Earlier work this paper cites.
A. Vogt, Efficient evolution of unpolarized and polarized parton distributions with QCD-PEGASUS
2005
Earlier work this paper cites.
W. Detmold and C. J. D. Lin, Deep-inelastic scattering and the operator product expansion in lattice QCD
2006
Earlier work this paper cites.
V. Braun and D. Mueller, Exclusive processes in position space and the pion distribution amplitude
Original
2008
Earlier work this paper cites.
A. D. Martin, W. J. Stirling, R. S. Thorne, and G. Watt, Parton distributions for the LHC
Original
2009
Earlier work this paper cites.
R. D. Ball, L. Del Debbio, S. Forte, A. Guffanti, J. I. Latorre, J. Rojo, and M. Ubiali, A first unbiased global NLO determination of parton distributions and their uncertainties
Original
2010
Earlier work this paper cites.
X. Ji, Parton physics on a euclidean lattice
2013
Earlier work this paper cites.
X. Ji, Parton Physics from Large-Momentum Effective Field Theory
Original
2014
Earlier work this paper cites.
X. Xiong, X. Ji, J.-H. Zhang, and Y. Zhao, One-loop matching for parton distributions: Nonsinglet case
Original
2014
Earlier work this paper cites.
S. Syritsyn, Review of Hadron Structure Calculations on a Lattice
Original
2014
Earlier work this paper cites.
A. Buckley, J. Ferrando, S. Lloyd, K. Nordström, B. Page, M. Rüfenacht, M. Schönherr, and G. Watt, LHAPDF6: parton density access in the LHC precision era
Original
2015
Earlier work this paper cites.
X. Ji and J.-H. Zhang, Renormalization of quasiparton distribution
Original
2015
Earlier work this paper cites.
X. Ji, A. Schäfer, X. Xiong, and J.-H. Zhang, One-Loop Matching for Generalized Parton Distributions
Original
2015
Earlier work this paper cites.
X. Xiong and J.-H. Zhang, One-loop matching for transversity generalized parton distribution
Original
2015
Earlier work this paper cites.
H.-W. Lin, J.-W. Chen, S. D. Cohen, and X. Ji, Flavor Structure of the Nucleon Sea from Lattice QCD
Original
2015
Earlier work this paper cites.
C. Alexandrou, K. Cichy, V. Drach, E. Garcia-Ramos, K. Hadjiyiannakou, K. Jansen, F. Steffens, and C. Wiese, Lattice calculation of parton distributions
Original
2015
Earlier work this paper cites.

Similar

M. Constantinou, Hadron Structure
Original
2015
Cited alongside, same era.
M. Constantinou, Recent progress in hadron structure from Lattice QCD
Original
2015
Cited alongside, same era.
arXiv:1512.03924
Original
C. Alexandrou, Selected results on hadron structure using state-of-the-art lattice QCD simulations · 2015
Cited alongside, same era.
S. Dulat, T.-J. Hou, J. Gao, M. Guzzi, J. Huston, P. Nadolsky, J. Pumplin, C. Schmidt, D. Stump, and C. P. Yuan, New parton distribution functions from a global analysis of quantum chromodynamics
Original
2016
Cited alongside, same era.
J.-W. Chen, S. D. Cohen, X. Ji, H.-W. Lin, and J.-H. Zhang, Nucleon Helicity and Transversity Parton Distributions from Lattice QCD

Then

Y.-Q. Ma and J.-W. Qiu, Extracting Parton Distribution Functions from Lattice QCD Calculations
Original
2018
Later among the works it cites.
Y.-Q. Ma and J.-W. Qiu, Exploring Partonic Structure of Hadrons Using ab initio Lattice QCD Calculations
Original
2018
Later among the works it cites.
T. Izubuchi, X. Ji, L. Jin, I. W. Stewart, and Y. Zhao, Factorization Theorem Relating Euclidean and Light-Cone Parton Distributions
Original
2018
Later among the works it cites.
W. Wang, S. Zhao, and R. Zhu, Gluon quasidistribution function at one loop
Original
2018
Later among the works it cites.
I. W. Stewart and Y. Zhao, Matching the quasiparton distribution in a momentum subtraction scheme

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

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