Valence parton distribution of the pion from lattice QCD: Approaching the continuum limit

Gao, Xiang; Jin, Luchang; Kallidonis, Christos; Karthik, Nikhil; Mukherjee, Swagato; Petreczky, Peter; Shugert, Charles; Syritsyn, Sergey; Zhao, Yong

doi:10.1103/PhysRevD.102.094513

Title: Valence parton distribution of the pion from lattice QCD: Approaching the continuum limit

Abstract

We present a high-statistics lattice QCD determination of the valence parton distribution function (PDF) of the pion, with a mass of 300 MeV, using two very fine lattice spacings of a = 0.06 fm and 0.04 fm. We reconstruct the x-dependent PDF, as well as infer the first few even moments of the PDF using leading-twist 1-loop perturbative matching framework. Our analyses use both RI-MOM and ratio-based schemes to renormalize the equal-time bi-local quark-bilinear matrix elements of pions boosted up to 2.4 GeV momenta. We use various model-independent and model-dependent analyses to infer the large-x behavior of the valence PDF. We also present technical studies on lattice spacing and higher-twist corrections present in the boosted pion matrix elements.

Authors:

; Jin, Luchang;

; Karthik, Nikhil; Mukherjee, Swagato; Petreczky, Peter; Shugert, Charles; Syritsyn, Sergey; Zhao, Yong

Publication Date:: Tue Nov 17 00:00:00 EST 2020

Research Org.:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC); USDOE Laboratory Directed Research and Development (LDRD) Program; National Science Foundation (NSF)

OSTI Identifier:: 1716541

Alternate Identifier(s):: OSTI ID: 1732155

Report Number(s):: BNL-220677-2020-JAAM
Journal ID: ISSN 2470-0010; PRVDAQ; 094513

Grant/Contract Number:: SC0012704; 16-37; PHY-1847893; SC0010339; FG02-04ER41302; AC05-00OR22725

Resource Type:: Published Article

Journal Name:: Physical Review. D.

Additional Journal Information:: Journal Name: Physical Review. D. Journal Volume: 102 Journal Issue: 9; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats


                    Gao, Xiang, Jin, Luchang, Kallidonis, Christos, Karthik, Nikhil, Mukherjee, Swagato, Petreczky, Peter, Shugert, Charles, Syritsyn, Sergey, and Zhao, Yong. Valence parton distribution of the pion from lattice QCD: Approaching the continuum limit.  United States: N. p., 2020. 
Web.  doi:10.1103/PhysRevD.102.094513.

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                    Gao, Xiang, Jin, Luchang, Kallidonis, Christos, Karthik, Nikhil, Mukherjee, Swagato, Petreczky, Peter, Shugert, Charles, Syritsyn, Sergey, & Zhao, Yong. Valence parton distribution of the pion from lattice QCD: Approaching the continuum limit.  United States.  https://doi.org/10.1103/PhysRevD.102.094513

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                    Gao, Xiang, Jin, Luchang, Kallidonis, Christos, Karthik, Nikhil, Mukherjee, Swagato, Petreczky, Peter, Shugert, Charles, Syritsyn, Sergey, and Zhao, Yong. Tue .  
"Valence parton distribution of the pion from lattice QCD: Approaching the continuum limit".  United States.  https://doi.org/10.1103/PhysRevD.102.094513.

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@article{osti_1716541,

  title        = {Valence parton distribution of the pion from lattice QCD: Approaching the continuum limit},

  author       = {Gao, Xiang and Jin, Luchang and Kallidonis, Christos and Karthik, Nikhil and Mukherjee, Swagato and Petreczky, Peter and Shugert, Charles and Syritsyn, Sergey and Zhao, Yong},

  abstractNote = {We present a high-statistics lattice QCD determination of the valence parton distribution function (PDF) of the pion, with a mass of 300 MeV, using two very fine lattice spacings of a = 0.06 fm and 0.04 fm. We reconstruct the x-dependent PDF, as well as infer the first few even moments of the PDF using leading-twist 1-loop perturbative matching framework. Our analyses use both RI-MOM and ratio-based schemes to renormalize the equal-time bi-local quark-bilinear matrix elements of pions boosted up to 2.4 GeV momenta. We use various model-independent and model-dependent analyses to infer the large-x behavior of the valence PDF. We also present technical studies on lattice spacing and higher-twist corrections present in the boosted pion matrix elements.},

  doi          = {10.1103/PhysRevD.102.094513},

  journal      = {Physical Review. D.},

  number       = 9,

  volume       = 102,

  place        = {United States},

  year         = {Tue Nov 17 00:00:00 EST 2020},

  month        = {Tue Nov 17 00:00:00 EST 2020}

}

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In this paper, we present results for the matrix elements of the additional ΔS = 2 operators that appear in models of physics beyond the Standard Model (BSM), expressed in terms of four BSM B -parameters. Combined with experimental results for ΔM_K and ε_K, these constrain the parameters of BSM models. We use improved staggered fermions, with valence hypercubic blocking transfromation (HYP)-smeared quarks and N_f = 2 + 1 flavors of “asqtad” sea quarks. The configurations have been generated by the MILC Collaboration. The matching between lattice and continuum four-fermion operators and bilinears is done perturbatively at one-loop order. We use three lattice spacings for the continuum extrapolation: a ≈ 0.09 , 0.06 and 0.045 fm. Valence light-quark masses range down to ≈ mmore »« less
Cited by 40
https://doi.org/10.1103/PhysRevD.93.014511

Full Text Available
Improved parton distribution functions at the physical pion mass

Journal Article Lin, Huey-Wen ; Chen, Jiunn-Wei ; Ishikawa, Tomomi ; ... - Physical Review D

We present the first lattice results on isovector unpolarized and longitudinally polarized parton distribution functions (PDFs) at physical pion mass. The PDFs are obtained using the large-momentum effective field theory (LaMET) framework where the full Bjorken-more »« less
Cited by 49
https://doi.org/10.1103/PhysRevD.98.054504

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Title: Valence parton distribution of the pion from lattice QCD: Approaching the continuum limit

Abstract

Citation Formats

Exclusive processes in position space and the pion distribution amplitude journal, May 2008

Scalar densities and baryon mass differences in lattice QCD with Wilson fermions journal, January 1987

Wilson expansion of QCD popagators at three loops: operators of dimension two and three journal, January 2010

Pionic parton distributions journal, December 1992

Renormalization constants for 2-twist operators in twisted mass QCD journal, January 2011

Ghost-gluon coupling, power corrections, and Λ MS ¯ from twisted-mass lattice QCD at N f = 2 journal, August 2010

Novel quark smearing for hadrons with high momenta in lattice QCD journal, May 2016

Isovector and isoscalar tensor charges of the nucleon from lattice QCD journal, November 2015

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

Moments of Ioffe time parton distribution functions from non-local matrix elements journal, November 2018

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

Unraveling high-energy hadron structures with lattice QCD journal, December 2018

Solving lattice QCD systems of equations using mixed precision solvers on GPUs journal, September 2010

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

Scaling Laws at Large Transverse Momentum journal, October 1973

Non-perturbative renormalization of quark bilinear operators with N f = 2 (tmQCD) Wilson fermions and the tree-level improved gauge action journal, August 2010

Pionic parton distributions revisited journal, September 1999

Isovector parton distribution functions of the proton on a superfine lattice journal, October 2020

Flavor symmetry and the static potential with hypercubic blocking journal, July 2001

Adaptive Multigrid Algorithm for Lattice QCD journal, January 2008

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

Universality of Generalized Parton Distributions in Light-Front Holographic QCD journal, May 2018

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

Parton distribution functions from Ioffe time pseudo-distributions journal, December 2019

The asymptotic behaviour of parton distributions at small and large x journal, July 2016

𝒪( a 2 ) corrections to the one-loop propagator and bilinears of clover fermions with Symanzik improved gluons journal, October 2009

Equation of state in ( 2 + 1 )-flavor QCD journal, November 2014

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

Parton distributions for the pion extracted from Drell-Yan and prompt photon experiments journal, April 1992

Parton model and the Bethe-Salpeter wave function journal, February 1977

Ioffe-time distributions instead of parton momentum distributions in the description of deep inelastic scattering journal, June 1995

Review of Particle Physics journal, August 2018

Color screening in ( 2 + 1 )-flavor QCD journal, September 2018

Experimental study of muon pairs produced by 252-GeV pions on tungsten journal, January 1989

Distinguishing Quarks and Gluons in Pion and Kaon Parton Distribution Functions journal, January 2020

Parton Physics on a Euclidean Lattice journal, June 2013

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

Q 2 -dependent parametrizations of pion parton distribution functions journal, September 1984

Parton distribution functions of the charged pion within the xFitter framework journal, July 2020

Renormalizability of quasiparton distribution functions journal, November 2017

Highly improved staggered quarks on the lattice with applications to charm physics journal, March 2007

Reconstructing parton distribution functions from Ioffe time data: from Bayesian methods to neural networks journal, April 2019

Pion valence quark distribution from current-current correlation in lattice QCD journal, September 2020

Solution of the Kwieciński evolution equations for unintegrated parton distributions using the Mellin transform journal, August 2004

Master integrals for two-loop QCD corrections to quark quasi PDFs journal, October 2020

Valence parton distribution function of pion from fine lattice journal, August 2019

Experimental determination of the π meson structure functions by the Drell-Yan mechanism journal, December 1983

Soft-Gluon Resummation and the Valence Parton Distribution Function of the Pion journal, December 2010

A Guide to Light-Cone PDFs from Lattice QCD: An Overview of Approaches, Techniques, and Results journal, June 2019

Origin of difference between u ¯ and d ¯ partons in the nucleon journal, March 1994

Quasiparton distribution functions at NNLO: Flavor nondiagonal quark contributions journal, July 2020

Constrained curve fitting journal, March 2002

Scaling lattice QCD beyond 100 GPUs conference, January 2011

Pion parton distribution function in the valence region journal, December 2005

Covariant approximation averaging journal, June 2015

Deep-inelastic scattering and the operator product expansion in lattice QCD journal, January 2006

First Monte Carlo Global QCD Analysis of Pion Parton Distributions journal, October 2018

Lattice QCD exploration of parton pseudo-distribution functions journal, November 2017

Quark pseudodistributions at short distances journal, June 2018

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

Unpolarized isovector quark distribution function from lattice QCD: A systematic analysis of renormalization and matching journal, February 2020

Vector - axial vector lattice cross section and valence parton distribution in the pion from a chiral quark model journal, November 2020

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

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

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

Pion and kaon valence-quark parton distribution functions journal, June 2011

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

Nonperturbative partonic quasidistributions of the pion from chiral quark models journal, October 2017

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

Valence-quark distribution functions in the kaon and pion journal, April 2016

Drawing insights from pion parton distributions journal, March 2020

Hadronic weak interactions of light quarks journal, March 1999

Pion structure functions from lattice QCD journal, October 1987

Parton distribution functions from reduced Ioffe-time distributions journal, April 2018

Renormalization in Large Momentum Effective Theory of Parton Physics journal, March 2018

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

Pion valence structure from Ioffe-time parton pseudodistribution functions journal, December 2019

Exclusive processes in position space and the pion distribution amplitude
journal, May 2008

Scalar densities and baryon mass differences in lattice QCD with Wilson fermions
journal, January 1987

Wilson expansion of QCD popagators at three loops: operators of dimension two and three
journal, January 2010

Pionic parton distributions
journal, December 1992

Renormalization constants for 2-twist operators in twisted mass QCD
journal, January 2011

Ghost-gluon coupling, power corrections, and $Λ_{\bar{MS}}$ from twisted-mass lattice QCD at $N_{f} = 2$
journal, August 2010

Novel quark smearing for hadrons with high momenta in lattice QCD
journal, May 2016

Isovector and isoscalar tensor charges of the nucleon from lattice QCD
journal, November 2015

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

Moments of Ioffe time parton distribution functions from non-local matrix elements
journal, November 2018

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

Unraveling high-energy hadron structures with lattice QCD
journal, December 2018

Solving lattice QCD systems of equations using mixed precision solvers on GPUs
journal, September 2010

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

Scaling Laws at Large Transverse Momentum
journal, October 1973

Non-perturbative renormalization of quark bilinear operators with N f = 2 (tmQCD) Wilson fermions and the tree-level improved gauge action
journal, August 2010

Pionic parton distributions revisited
journal, September 1999

Isovector parton distribution functions of the proton on a superfine lattice
journal, October 2020

Flavor symmetry and the static potential with hypercubic blocking
journal, July 2001

Adaptive Multigrid Algorithm for Lattice QCD
journal, January 2008

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

Universality of Generalized Parton Distributions in Light-Front Holographic QCD
journal, May 2018

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

Parton distribution functions from Ioffe time pseudo-distributions
journal, December 2019

The asymptotic behaviour of parton distributions at small and large x
journal, July 2016

𝒪( a ² ) corrections to the one-loop propagator and bilinears of clover fermions with Symanzik improved gluons
journal, October 2009

Equation of state in ( $2 + 1$ )-flavor QCD
journal, November 2014

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

Parton distributions for the pion extracted from Drell-Yan and prompt photon experiments
journal, April 1992

Parton model and the Bethe-Salpeter wave function
journal, February 1977

Ioffe-time distributions instead of parton momentum distributions in the description of deep inelastic scattering
journal, June 1995

Review of Particle Physics
journal, August 2018

Color screening in ( $2 + 1$ )-flavor QCD
journal, September 2018

Experimental study of muon pairs produced by 252-GeV pions on tungsten
journal, January 1989

Distinguishing Quarks and Gluons in Pion and Kaon Parton Distribution Functions
journal, January 2020

Parton Physics on a Euclidean Lattice
journal, June 2013

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

$Q^{2}$ -dependent parametrizations of pion parton distribution functions
journal, September 1984

Parton distribution functions of the charged pion within the xFitter framework
journal, July 2020

Renormalizability of quasiparton distribution functions
journal, November 2017

Highly improved staggered quarks on the lattice with applications to charm physics
journal, March 2007

Reconstructing parton distribution functions from Ioffe time data: from Bayesian methods to neural networks
journal, April 2019

Pion valence quark distribution from current-current correlation in lattice QCD
journal, September 2020

Solution of the Kwieciński evolution equations for unintegrated parton distributions using the Mellin transform
journal, August 2004

Master integrals for two-loop QCD corrections to quark quasi PDFs
journal, October 2020

Valence parton distribution function of pion from fine lattice
journal, August 2019

Experimental determination of the π meson structure functions by the Drell-Yan mechanism
journal, December 1983

Soft-Gluon Resummation and the Valence Parton Distribution Function of the Pion
journal, December 2010

A Guide to Light-Cone PDFs from Lattice QCD: An Overview of Approaches, Techniques, and Results
journal, June 2019

Origin of difference between u ¯ and d ¯ partons in the nucleon
journal, March 1994

Quasiparton distribution functions at NNLO: Flavor nondiagonal quark contributions
journal, July 2020

Constrained curve fitting
journal, March 2002

Scaling lattice QCD beyond 100 GPUs
conference, January 2011

Pion parton distribution function in the valence region
journal, December 2005

Covariant approximation averaging
journal, June 2015

Deep-inelastic scattering and the operator product expansion in lattice QCD
journal, January 2006

First Monte Carlo Global QCD Analysis of Pion Parton Distributions
journal, October 2018

Lattice QCD exploration of parton pseudo-distribution functions
journal, November 2017

Quark pseudodistributions at short distances
journal, June 2018

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

Unpolarized isovector quark distribution function from lattice QCD: A systematic analysis of renormalization and matching
journal, February 2020

Vector - axial vector lattice cross section and valence parton distribution in the pion from a chiral quark model
journal, November 2020

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

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

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

Pion and kaon valence-quark parton distribution functions
journal, June 2011

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

Nonperturbative partonic quasidistributions of the pion from chiral quark models
journal, October 2017

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

Valence-quark distribution functions in the kaon and pion
journal, April 2016

Drawing insights from pion parton distributions
journal, March 2020

Hadronic weak interactions of light quarks
journal, March 1999

Pion structure functions from lattice QCD
journal, October 1987

Parton distribution functions from reduced Ioffe-time distributions
journal, April 2018

Renormalization in Large Momentum Effective Theory of Parton Physics
journal, March 2018

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

Pion valence structure from Ioffe-time parton pseudodistribution functions
journal, December 2019

Target mass effects in parton quasi-distributions
journal, July 2017

Non-singlet axial vector couplings of the baryon octet in lattice QCD
journal, August 1989

Symmetry properties of nonlocal quark bilinear operators on a Lattice (LP ³ Collaboration)
journal, September 2019