Complete matching for quasidistribution functions in large momentum effective theory

Wang, Wei; Zhang, Jian-Hui; Zhao, Shuai; Zhu, Ruilin

doi:10.1103/PhysRevD.100.074509

Title: Complete matching for quasidistribution functions in large momentum effective theory

Abstract

We complete the procedure of extracting parton distribution functions (PDFs) using large momentum effective theory (LaMET) at leading power accuracy in the hadron momentum. We derive a general factorization formula for the quasi parton distribution functions in the presence of mixing, and give the corresponding hard matching kernel both for the unpolarized and for the polarized quark and gluon quasi-PDFs at $$\mathcal O(\alpha_s)$$. Our calculation is performed in a regularization-independent momentum subtraction scheme. The results allow us to match the nonperturbatively renormalized quasi-PDFs to normal PDFs in the presence of mixing, and therefore can be used to extract flavor-singlet quark PDFs as well as the gluon PDFs from lattice simulations.

Authors:

Wang, Wei;

;

; Zhu, Ruilin

Publication Date:: Wed Oct 23 00:00:00 EDT 2019

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:: 1571532

Alternate Identifier(s):: OSTI ID: 1572075

Report Number(s):: JLAB-THY-19-2907; DOE/OR/23177-4661; arXiv:1904.00978
Journal ID: ISSN 2470-0010; PRVDAQ; 074509

Grant/Contract Number:: AC05-06OR23177; FG02-97ER41028; 11575110; 11735010; 11705092; 11911530088; 15DZ2272100; BK20171471

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 7; 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


                    Wang, Wei, Zhang, Jian-Hui, Zhao, Shuai, and Zhu, Ruilin. Complete matching for quasidistribution functions in large momentum effective theory.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevD.100.074509.

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                    Wang, Wei, Zhang, Jian-Hui, Zhao, Shuai, & Zhu, Ruilin. Complete matching for quasidistribution functions in large momentum effective theory.  United States.  https://doi.org/10.1103/PhysRevD.100.074509

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                    Wang, Wei, Zhang, Jian-Hui, Zhao, Shuai, and Zhu, Ruilin. Wed .  
"Complete matching for quasidistribution functions in large momentum effective theory".  United States.  https://doi.org/10.1103/PhysRevD.100.074509.

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@article{osti_1571532,

  title        = {Complete matching for quasidistribution functions in large momentum effective theory},

  author       = {Wang, Wei and Zhang, Jian-Hui and Zhao, Shuai and Zhu, Ruilin},

  abstractNote = {We complete the procedure of extracting parton distribution functions (PDFs) using large momentum effective theory (LaMET) at leading power accuracy in the hadron momentum. We derive a general factorization formula for the quasi parton distribution functions in the presence of mixing, and give the corresponding hard matching kernel both for the unpolarized and for the polarized quark and gluon quasi-PDFs at $\mathcal O(\alpha_s)$. Our calculation is performed in a regularization-independent momentum subtraction scheme. The results allow us to match the nonperturbatively renormalized quasi-PDFs to normal PDFs in the presence of mixing, and therefore can be used to extract flavor-singlet quark PDFs as well as the gluon PDFs from lattice simulations.},

  doi          = {10.1103/PhysRevD.100.074509},

  journal      = {Physical Review D},

  number       = 7,

  volume       = 100,

  place        = {United States},

  year         = {Wed Oct 23 00:00:00 EDT 2019},

  month        = {Wed Oct 23 00:00:00 EDT 2019}

}

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Accessing Gluon Parton Distributions in Large Momentum Effective Theory

Journal Article Zhang, Jian-Hui ; Ji, Xiangdong ; Schäfer, Andreas ; ... - Physical Review Letters

Gluon parton distribution functions (PDFs) in the proton can be calculated directly on Euclidean lattices using large momentum effective theory (LaMET). To realize this goal, one has to find renormalized gluon quasi-PDFs in which power divergences and operator mixing are thoroughly understood. For the unpolarized distribution, we identify four independent quasi-PDF correlators that can be multiplicatively renormalized on the lattice. Similarly, the helicity distribution can be derived from three independent multiplicatively renormalizable quasi-PDFs. We provide a LaMET factorization formula for these renormalized quasi-PDFs from which one can extract the gluon PDFs.
Cited by 62
https://doi.org/10.1103/PhysRevLett.122.142001
$B$ -meson light-cone distribution amplitude from Euclidean quantities

Journal Article Wang, Wei ; Wang, Yu-Ming ; Xu, Ji ; ... - Physical Review. D.

A new method for the model-independent determination of the light-cone distribution amplitude of the B-meson in heavy quark effective theory (HQET) is proposed by combining the large momentum effective theory and the numerical simulation technique on the Euclidean lattice. We demonstrate the autonomous scale dependence of the nonlocal quasi-HQET operator with the aid of the auxiliary field approach, and further determine the perturbative matching coefficient entering the hard-collinear factorization formula for the B-meson quasidistribution amplitude at the one-loop accuracy. These results will be crucial to explore the partonic structure of heavy-quark hadrons in the static limit and to improve themore »« less
Cited by 32
https://doi.org/10.1103/PhysRevD.102.011502
Matching the meson quasidistribution amplitude in the RI/MOM scheme

Journal Article Liu, Yu-Sheng ; Wang, Wei ; Xu, Ji ; ... - Physical Review D

The x dependence of light-cone distribution amplitude (LCDA) can be directly calculated from a quasidistribution amplitude (DA) in lattice QCD within the framework of large-momentum effective theory. In this paper, we study the one-loop renormalization of the quasi-DA in the regularization-independent momentum subtraction (RI/MOM) scheme. The renormalization factor for the quasiparton distribution function can be used to renormalize the quasi-DA provided that they are implemented on lattice and in perturbation theory in the same manner. We derive the one-loop matching coefficient that matches quasi-DA in the RI/MOM scheme onto LCDA in the MS¯ scheme. Our result provides the crucial stepmore »« less
Cited by 17
https://doi.org/10.1103/PhysRevD.99.094036

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Title: Complete matching for quasidistribution functions in large momentum effective theory

Abstract

Citation Formats

Towards quasi-transverse momentum dependent PDFs computable on the lattice journal, September 2019

Improved parton distribution functions at the physical pion mass journal, September 2018

Quantum contour field equations journal, June 1980

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

New parton distribution functions from a global analysis of quantum chromodynamics journal, February 2016

Euclidean versus Minkowski short distance journal, September 2018

First Simultaneous Extraction of Spin-Dependent Parton Distributions and Fragmentation Functions from a Global QCD Analysis journal, September 2017

Factorization theorem relating Euclidean and light-cone parton distributions journal, September 2018

Structure of parton quasi-distributions and their moments journal, January 2019

Exploring Partonic Structure of Hadrons Using ab initio Lattice QCD Calculations journal, January 2018

Nonperturbative Renormalization of Nonlocal Quark Bilinears for Parton Quasidistribution Functions on the Lattice Using an Auxiliary Field journal, July 2018

Nondipolar Wilson links for quasiparton distribution functions journal, October 2016

On the power divergence in quasi gluon distribution function journal, May 2018

A derivation of the heavy quark effective lagrangian from QCD journal, January 1992

Kaon distribution amplitude from lattice QCD and the flavor SU(3) symmetry journal, February 2019

Smeared quasidistributions in perturbation theory journal, March 2018

Gluon quasidistribution function at one loop journal, February 2018

Parton physics from large-momentum effective field theory journal, May 2014

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

Matching generalized parton quasidistributions in the RI/MOM scheme journal, August 2019

Exploring quark transverse momentum distributions with lattice QCD journal, May 2011

Renormalization of quasiparton distribution journal, August 2015

One-loop matching for transversity generalized parton distribution journal, September 2015

Transverse momentum dependent parton quasidistributions journal, June 2019

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

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

Parton Physics on a Euclidean Lattice journal, June 2013

Extracting parton distribution functions from lattice QCD calculations journal, October 2018

Matching the meson quasidistribution amplitude in the RI/MOM scheme journal, May 2019

One-loop matching for parton distributions: Nonsinglet case journal, July 2014

Renormalizability of quasiparton distribution functions journal, November 2017

Gluon helicity Δ G from a universality class of operators on a lattice journal, April 2014

Gluon Quasi-Parton-Distribution Functions from Lattice QCD journal, December 2018

A first unbiased global determination of polarized PDFs and their uncertainties journal, October 2014

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

Proton Isovector Helicity Distribution on the Lattice at Physical Pion Mass journal, December 2018

Pion distribution amplitude from lattice QCD journal, May 2017

Renormalization and short distance of string type equations in QCD journal, June 1981

Evolution equations for QCD string operators journal, January 1989

Soft factor subtraction and transverse momentum dependent parton distributions on the lattice journal, April 2015

Transversity parton distribution functions from lattice QCD journal, November 2018

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

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

Nonperturbatively renormalized glue momentum fraction at the physical pion mass from lattice QCD journal, October 2018

Determining the nonperturbative Collins-Soper kernel from lattice QCD journal, February 2019

Solving the Bars-Green equation for moving mesons in two-dimensional QCD journal, November 2017

Renormalization and Short Distance Properties of Gauge Invariant Gluonium and Hadron Operators journal, January 1983

The slope of the leading Regge trajectory in quantum chromodynamics journal, January 1980

Quasiparton distribution functions: Two-dimensional scalar and spinor QCD journal, March 2019

Multiplicative Renormalizability of Operators defining Quasiparton Distributions journal, February 2019

Lattice calculation of parton distributions journal, July 2015

Renormalization and short distance properties of string type equations in QCD journal, March 1981

Gaussian-weighted parton quasi-distribution (Lattice Parton Physics Project (LP3)) journal, April 2019

Gauge fields as rings of glue journal, January 1980

Renormalization of composite operators in Yang-Mills theories using a general covariant gauge journal, September 1994

Nonperturbative evolution of parton quasi-distributions journal, April 2017

Improved quasi parton distribution through Wilson line renormalization journal, February 2017

Lattice corrections to the quark quasidistribution at one loop journal, May 2017

The structure of the proton in the LHC precision era journal, May 2018

First direct lattice-QCD calculation of the x -dependence of the pion parton distribution function journal, August 2019

Renormalization of Wilson-line operators in the presence of nonzero quark masses journal, July 2018

Parton distribution function with nonperturbative renormalization from lattice QCD journal, January 2018

Note on lattice regularization and equal-time correlators for parton distribution functions journal, July 2017

Accessing Gluon Parton Distributions in Large Momentum Effective Theory journal, April 2019

A complete non-perturbative renormalization prescription for quasi-PDFs journal, October 2017

One-loop matching for generalized parton distributions journal, July 2015

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

Light-cone distribution amplitudes of vector meson in a large momentum effective theory journal, June 2018

Anomalous dimension of the gluon operator in pure Yang-Mills theory journal, April 1995

Two-loop evolution equations for flavor-singlet light-ray operators journal, February 2019

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

Matching the quasiparton distribution in a momentum subtraction scheme journal, March 2018

Proton Mass Decomposition from the QCD Energy Momentum Tensor journal, November 2018

Partonic quasidistributions in two-dimensional QCD journal, September 2018

Quasi parton distributions and the gradient flow journal, March 2017

Pion and kaon valence-quark parton quasidistributions journal, May 2018

Generalized quasi parton distributions in a diquark spectator model journal, January 2019

Towards quasi-transverse momentum dependent PDFs computable on the lattice
journal, September 2019

Improved parton distribution functions at the physical pion mass
journal, September 2018

Quantum contour field equations
journal, June 1980

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

New parton distribution functions from a global analysis of quantum chromodynamics
journal, February 2016

Euclidean versus Minkowski short distance
journal, September 2018

First Simultaneous Extraction of Spin-Dependent Parton Distributions and Fragmentation Functions from a Global QCD Analysis
journal, September 2017

Factorization theorem relating Euclidean and light-cone parton distributions
journal, September 2018

Structure of parton quasi-distributions and their moments
journal, January 2019

Exploring Partonic Structure of Hadrons Using ab initio Lattice QCD Calculations
journal, January 2018

Nonperturbative Renormalization of Nonlocal Quark Bilinears for Parton Quasidistribution Functions on the Lattice Using an Auxiliary Field
journal, July 2018

Nondipolar Wilson links for quasiparton distribution functions
journal, October 2016

On the power divergence in quasi gluon distribution function
journal, May 2018

A derivation of the heavy quark effective lagrangian from QCD
journal, January 1992

Kaon distribution amplitude from lattice QCD and the flavor SU(3) symmetry
journal, February 2019

Smeared quasidistributions in perturbation theory
journal, March 2018

Gluon quasidistribution function at one loop
journal, February 2018

Parton physics from large-momentum effective field theory
journal, May 2014

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

Matching generalized parton quasidistributions in the RI/MOM scheme
journal, August 2019

Exploring quark transverse momentum distributions with lattice QCD
journal, May 2011

Renormalization of quasiparton distribution
journal, August 2015

One-loop matching for transversity generalized parton distribution
journal, September 2015

Transverse momentum dependent parton quasidistributions
journal, June 2019

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

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

Parton Physics on a Euclidean Lattice
journal, June 2013

Extracting parton distribution functions from lattice QCD calculations
journal, October 2018

Matching the meson quasidistribution amplitude in the RI/MOM scheme
journal, May 2019

One-loop matching for parton distributions: Nonsinglet case
journal, July 2014

Renormalizability of quasiparton distribution functions
journal, November 2017

Gluon helicity $Δ G$ from a universality class of operators on a lattice
journal, April 2014

Gluon Quasi-Parton-Distribution Functions from Lattice QCD
journal, December 2018

A first unbiased global determination of polarized PDFs and their uncertainties
journal, October 2014

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

Proton Isovector Helicity Distribution on the Lattice at Physical Pion Mass
journal, December 2018

Pion distribution amplitude from lattice QCD
journal, May 2017

Renormalization and short distance of string type equations in QCD
journal, June 1981

Evolution equations for QCD string operators
journal, January 1989

Soft factor subtraction and transverse momentum dependent parton distributions on the lattice
journal, April 2015

Transversity parton distribution functions from lattice QCD
journal, November 2018

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

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

Nonperturbatively renormalized glue momentum fraction at the physical pion mass from lattice QCD
journal, October 2018

Determining the nonperturbative Collins-Soper kernel from lattice QCD
journal, February 2019

Solving the Bars-Green equation for moving mesons in two-dimensional QCD
journal, November 2017

Renormalization and Short Distance Properties of Gauge Invariant Gluonium and Hadron Operators
journal, January 1983

The slope of the leading Regge trajectory in quantum chromodynamics
journal, January 1980

Quasiparton distribution functions: Two-dimensional scalar and spinor QCD
journal, March 2019

Multiplicative Renormalizability of Operators defining Quasiparton Distributions
journal, February 2019

Lattice calculation of parton distributions
journal, July 2015

Renormalization and short distance properties of string type equations in QCD
journal, March 1981

Gaussian-weighted parton quasi-distribution (Lattice Parton Physics Project (LP3))
journal, April 2019

Gauge fields as rings of glue
journal, January 1980

Renormalization of composite operators in Yang-Mills theories using a general covariant gauge
journal, September 1994

Nonperturbative evolution of parton quasi-distributions
journal, April 2017

Improved quasi parton distribution through Wilson line renormalization
journal, February 2017

Lattice corrections to the quark quasidistribution at one loop
journal, May 2017

The structure of the proton in the LHC precision era
journal, May 2018

First direct lattice-QCD calculation of the $x$ -dependence of the pion parton distribution function
journal, August 2019

Renormalization of Wilson-line operators in the presence of nonzero quark masses
journal, July 2018

Parton distribution function with nonperturbative renormalization from lattice QCD
journal, January 2018

Note on lattice regularization and equal-time correlators for parton distribution functions
journal, July 2017

Accessing Gluon Parton Distributions in Large Momentum Effective Theory
journal, April 2019

A complete non-perturbative renormalization prescription for quasi-PDFs
journal, October 2017

One-loop matching for generalized parton distributions
journal, July 2015

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

Light-cone distribution amplitudes of vector meson in a large momentum effective theory
journal, June 2018

Anomalous dimension of the gluon operator in pure Yang-Mills theory
journal, April 1995

Two-loop evolution equations for flavor-singlet light-ray operators
journal, February 2019

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

Matching the quasiparton distribution in a momentum subtraction scheme
journal, March 2018

Proton Mass Decomposition from the QCD Energy Momentum Tensor
journal, November 2018

Partonic quasidistributions in two-dimensional QCD
journal, September 2018

Quasi parton distributions and the gradient flow
journal, March 2017

Pion and kaon valence-quark parton quasidistributions
journal, May 2018

Generalized quasi parton distributions in a diquark spectator model
journal, January 2019

Non-perturbative subtractions in the heavy quark effective field theory
journal, January 1992

Pion structure functions from lattice QCD
journal, October 1987

Nucleon helicity and transversity parton distributions from lattice QCD
journal, October 2016