Moments of nucleon isovector structure functions in 2+1+1-flavor QCD

Mondal, Santanu; Gupta, Rajan; Park, Sungwoo; Yoon, Boram; Bhattacharya, Tanmoy; Lin, Huey-Wen

doi:10.1103/PhysRevD.102.054512

Title: Moments of nucleon isovector structure functions in 2+1+1-flavor QCD

Journal Article · Tue Sep 22 00:00:00 EDT 2020 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.102.054512· OSTI ID:1664543

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We present results on the isovector momentum fraction, $$\langle x \rangle_{u–d}$$ , helicity moment, $$\langle x \rangle_{Δ u–Δd}$$ , and the transversity moment, $$\langle x \rangle_{δu–δd}$$, of the nucleon obtained using nine ensembles of gauge configurations generated by the MILC Collaboration using 2 + 1 + 1 -flavors of dynamical highly improved staggered quarks. The correlation functions are calculated using the Wilson-Clover action, and the renormalization of the three operators is carried out nonperturbatively on the lattice in the RI'–MOM scheme. The data have been collected at lattice spacings a ≈ 0.15 , 0.12, 0.09, and 0.06 fm and $$M_π$$ ≈ 310 , 220, and 135 MeV, which are used to obtain the physical values using a simultaneous chiral-continuum-finite-volume fit. The final results, in the $$\overline{\text{MS}}$$ scheme at 2 GeV, are $$\langle$$ x $$\rangle$$ u – d = 0.173 ( 14 ) ( 07 ) , $$\langle x \rangle_{Δu–Δd}$$ = 0.213 ( 15 ) ( 22 ) , and $$\langle x \rangle_{δu–δd}$$ = 0.208 ( 19 ) ( 24 ) , where the first error is the overall analysis uncertainty and the second is an additional systematic uncertainty due to possible residual excited-state contributions. These results are consistent with other recent lattice calculations and phenomenological global fit values.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)

Sponsoring Organization:: USQCD Collaboration; USDOE Office of Science (SC), High Energy Physics (HEP); USDOE Laboratory Directed Research and Development (LDRD) Program; National Science Foundation (NSF); Research Corporation for Science Advancement

Grant/Contract Number:: 89233218CNA000001; AC02-05CH11231; AC05-00OR22725; AC52-06NA25396; PHY 1653405

OSTI ID:: 1664543

Alternate ID(s):: OSTI ID: 1768549

Report Number(s):: LA-UR-20-23801; PRVDAQ; 054512

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Vol. 102 Journal Issue: 5; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (51)

Effective noise reduction techniques for disconnected loops in Lattice QCD Bali, Gunnar S.; Collins, Sara; Schäfer, Andreas Computer Physics Communications, Vol. 181, Issue 9 https://doi.org/10.1016/j.cpc.2010.05.008	journal	September 2010
Nucleon isovector structure functions in ( $2 + 1$ )-flavor QCD with domain wall fermions Aoki, Yasumichi; Blum, Tom; Lin, Huey-Wen Physical Review D, Vol. 82, Issue 1 https://doi.org/10.1103/PhysRevD.82.014501	journal	July 2010
Extraction of spin-dependent parton densities and their uncertainties de Florian, Daniel; Sassot, Rodolfo; Stratmann, Marco Physical Review D, Vol. 80, Issue 3 https://doi.org/10.1103/PhysRevD.80.034030	journal	August 2009
New parton distribution functions from a global analysis of quantum chromodynamics Dulat, Sayipjamal; Hou, Tie-Jiun; Gao, Jun Physical Review D, Vol. 93, Issue 3 https://doi.org/10.1103/PhysRevD.93.033006	journal	February 2016
Parton distributions and lattice QCD calculations: A community white paper Lin, Huey-Wen; Nocera, Emanuele R.; Olness, Fred Progress in Particle and Nuclear Physics, Vol. 100 https://doi.org/10.1016/j.ppnp.2018.01.007	journal	May 2018
Isovector and isoscalar tensor charges of the nucleon from lattice QCD Bhattacharya, Tanmoy; Cirigliano, Vincenzo; Cohen, Saul D. Physical Review D, Vol. 92, Issue 9 https://doi.org/10.1103/PhysRevD.92.094511	journal	November 2015
First Simultaneous Extraction of Spin-Dependent Parton Distributions and Fragmentation Functions from a Global QCD Analysis Ethier, J. J.; Sato, N.; Melnitchouk, W. Physical Review Letters, Vol. 119, Issue 13 https://doi.org/10.1103/PhysRevLett.119.132001	journal	September 2017
Constraints on large- $x$ parton distributions from new weak boson production and deep-inelastic scattering data Accardi, A.; Brady, L. T.; Melnitchouk, W. Physical Review D, Vol. 93, Issue 11 https://doi.org/10.1103/PhysRevD.93.114017	journal	June 2016
Solving lattice QCD systems of equations using mixed precision solvers on GPUs Clark, M. A.; Babich, R.; Barros, K. Computer Physics Communications, Vol. 181, Issue 9 https://doi.org/10.1016/j.cpc.2010.05.002	journal	September 2010
Nucleon charges and electromagnetic form factors from $2 + 1 + 1$ -flavor lattice QCD Bhattacharya, Tanmoy; Cohen, Saul D.; Gupta, Rajan Physical Review D, Vol. 89, Issue 9 https://doi.org/10.1103/PhysRevD.89.094502	journal	May 2014
New class of variance-reduction techniques using lattice symmetries Blum, Thomas; Izubuchi, Taku; Shintani, Eigo Physical Review D, Vol. 88, Issue 9 https://doi.org/10.1103/PhysRevD.88.094503	journal	November 2013
Axial, scalar, and tensor charges of the nucleon from $2 + 1 + 1$ -flavor Lattice QCD Bhattacharya, Tanmoy; Cirigliano, Vincenzo; Cohen, Saul D. Physical Review D, Vol. 94, Issue 5 https://doi.org/10.1103/PhysRevD.94.054508	journal	September 2016
Flavor symmetry and the static potential with hypercubic blocking Hasenfratz, Anna; Knechtli, Francesco Physical Review D, Vol. 64, Issue 3 https://doi.org/10.1103/PhysRevD.64.034504	journal	July 2001
Adaptive Multigrid Algorithm for the Lattice Wilson-Dirac Operator Babich, R.; Brannick, J.; Brower, R. C. Physical Review Letters, Vol. 105, Issue 20 https://doi.org/10.1103/PhysRevLett.105.201602	journal	November 2010
Erratum: Nucleon and pion structure with lattice QCD simulations at physical value of the pion mass [Phys. Rev. D 92 , 114513 (2015)] Abdel-Rehim, A.; Alexandrou, C.; Constantinou, M. Physical Review D, Vol. 93, Issue 3 https://doi.org/10.1103/PhysRevD.93.039904	journal	February 2016
Nucleon Spin and Momentum Decomposition Using Lattice QCD Simulations Alexandrou, C.; Constantinou, M.; Hadjiyiannakou, K. Physical Review Letters, Vol. 119, Issue 14 https://doi.org/10.1103/PhysRevLett.119.142002	journal	October 2017
FLAG Review 2019: Flavour Lattice Averaging Group (FLAG) Aoki, S.; Aoki, Y.; Bečirević, D. The European Physical Journal C, Vol. 80, Issue 2 https://doi.org/10.1140/epjc/s10052-019-7354-7	journal	February 2020
Three loop anomalous dimension of the second moment of the transversity operator in the and RI′ schemes Gracey, J. A. Nuclear Physics B, Vol. 667, Issue 1-2 https://doi.org/10.1016/S0550-3213(03)00543-1	journal	September 2003
Improved continuum limit lattice action for QCD with wilson fermions Sheikholeslami, B.; Wohlert, R. Nuclear Physics B, Vol. 259, Issue 4 https://doi.org/10.1016/0550-3213(85)90002-1	journal	September 1985
The moment $⟨ x ⟩_{u - d}$ of the nucleon from $N_{f} = 2$ lattice QCD down to nearly physical quark masses Bali, Gunnar S.; Collins, Sara; Gläßle, Benjamin Physical Review D, Vol. 90, Issue 7 https://doi.org/10.1103/PhysRevD.90.074510	journal	October 2014
Parton distributions from high-precision collider data: NNPDF Collaboration Ball, Richard D.; Bertone, Valerio; Carrazza, Stefano The European Physical Journal C, Vol. 77, Issue 10 https://doi.org/10.1140/epjc/s10052-017-5199-5	journal	October 2017
Highly improved staggered quarks on the lattice with applications to charm physics Follana, E.; Mason, Q.; Davies, C. Physical Review D, Vol. 75, Issue 5 https://doi.org/10.1103/PhysRevD.75.054502	journal	March 2007
Parton distribution functions, $α_{s}$ , and heavy-quark masses for LHC Run II Alekhin, S.; Blümlein, J.; Moch, S. Physical Review D, Vol. 96, Issue 1 https://doi.org/10.1103/PhysRevD.96.014011	journal	July 2017
A first unbiased global determination of polarized PDFs and their uncertainties Nocera, Emanuele R.; Ball, Richard D.; Forte, Stefano Nuclear Physics B, Vol. 887 https://doi.org/10.1016/j.nuclphysb.2014.08.008	journal	October 2014
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 Abramowicz, H.; Abt, I.; Adamczyk, L. The European Physical Journal C, Vol. 75, Issue 12 https://doi.org/10.1140/epjc/s10052-015-3710-4	journal	December 2015
Parton distributions in the LHC era: MMHT 2014 PDFs Harland-Lang, L. A.; Martin, A. D.; Motylinski, P. The European Physical Journal C, Vol. 75, Issue 5 https://doi.org/10.1140/epjc/s10052-015-3397-6	journal	May 2015
Nucleon isovector charges and twist-2 matrix elements with $N_{f} = 2 + 1$ dynamical Wilson quarks Harris, Tim; von Hippel, Georg; Junnarkar, Parikshit Physical Review D, Vol. 100, Issue 3 https://doi.org/10.1103/PhysRevD.100.034513	journal	August 2019
A Guide to Light-Cone PDFs from Lattice QCD: An Overview of Approaches, Techniques, and Results Cichy, Krzysztof; Constantinou, Martha Advances in High Energy Physics, Vol. 2019 https://doi.org/10.1155/2019/3036904	journal	June 2019
Polarized and unpolarized nucleon structure functions from lattice QCD Göckeler, M.; Horsley, R.; Ilgenfritz, E. -M. Physical Review D, Vol. 53, Issue 5 https://doi.org/10.1103/PhysRevD.53.2317	journal	March 1996
Lattice QCD ensembles with four flavors of highly improved staggered quarks Bazavov, A.; Bernard, C.; Komijani, J. Physical Review D, Vol. 87, Issue 5 https://doi.org/10.1103/PhysRevD.87.054505	journal	March 2013
$⟨ x ⟩_{u - d}$ from lattice QCD at nearly physical quark masses Bali, Gunnar S.; Collins, Sara; Deka, Mridupawan Physical Review D, Vol. 86, Issue 5 https://doi.org/10.1103/PhysRevD.86.054504	journal	September 2012
Nucleon and pion structure with lattice QCD simulations at physical value of the pion mass Abdel-Rehim, A.; Alexandrou, C.; Constantinou, M. Physical Review D, Vol. 92, Issue 11 https://doi.org/10.1103/PhysRevD.92.114513	journal	December 2015
Deep-inelastic scattering and the operator product expansion in lattice QCD Detmold, William; Lin, C. -J. David Physical Review D, Vol. 73, Issue 1 https://doi.org/10.1103/PhysRevD.73.014501	journal	January 2006
Global Analysis of Helicity Parton Densities and their Uncertainties de Florian, Daniel; Sassot, Rodolfo; Stratmann, Marco Physical Review Letters, Vol. 101, Issue 7 https://doi.org/10.1103/PhysRevLett.101.072001	journal	August 2008
Perturbatively improving regularization-invariant momentum scheme renormalization constants Constantinou, M.; Costa, M.; Göckeler, M. Physical Review D, Vol. 87, Issue 9 https://doi.org/10.1103/PhysRevD.87.096019	journal	May 2013
Restoration of rotational symmetry in the continuum limit of lattice field theories Davoudi, Zohreh; Savage, Martin J. Physical Review D, Vol. 86, Issue 5 https://doi.org/10.1103/PhysRevD.86.054505	journal	September 2012
Nucleon structure from Lattice QCD using a nearly physical pion mass Green, J. R.; Engelhardt, M.; Krieg, S. Physics Letters B, Vol. 734 https://doi.org/10.1016/j.physletb.2014.05.075	journal	June 2014
Nucleon transverse momentum-dependent parton distributions in lattice QCD: Renormalization patterns and discretization effects Yoon, Boram; Engelhardt, Michael; Gupta, Rajan Physical Review D, Vol. 96, Issue 9 https://doi.org/10.1103/PhysRevD.96.094508	journal	November 2017
Generalized parton distributions Diehl, M. Physics Reports, Vol. 388, Issue 2-4 https://doi.org/10.1016/j.physrep.2003.08.002	journal	December 2003
Nucleon generalized form factors from two-flavor lattice QCD Bali, Gunnar; Collins, Sara; Göckeler, Meinulf Physical Review D, Vol. 100, Issue 1 https://doi.org/10.1103/PhysRevD.100.014507	journal	July 2019
Proton Mass Decomposition from the QCD Energy Momentum Tensor Yang, Yi-Bo; Liang, Jian; Bi, Yu-Jiang Physical Review Letters, Vol. 121, Issue 21 https://doi.org/10.1103/PhysRevLett.121.212001	journal	November 2018
Handbook of perturbative QCD Sterman, George; Smith, John; Collins, John C. Reviews of Modern Physics, Vol. 67, Issue 1 https://doi.org/10.1103/RevModPhys.67.157	journal	January 1995
Nucleon structure from mixed action calculations using $2 + 1$ flavors of asqtad sea and domain wall valence fermions Bratt, J. D.; Edwards, R. G.; Engelhardt, M. Physical Review D, Vol. 82, Issue 9 https://doi.org/10.1103/PhysRevD.82.094502	journal	November 2010
Electron-Ion Collider: The next QCD frontier: Understanding the glue that binds us all Accardi, A.; Albacete, J. L.; Anselmino, M. The European Physical Journal A, Vol. 52, Issue 9 https://doi.org/10.1140/epja/i2016-16268-9	journal	September 2016
Erratum: Perturbative and nonperturbative renormalization in lattice QCD [Phys. Rev. D 82 , 114511 (2010)] Göckeler, M.; Horsley, R.; Nakamura, Y. Physical Review D, Vol. 86, Issue 9 https://doi.org/10.1103/PhysRevD.86.099903	journal	November 2012
Controlling excited-state contamination in nucleon matrix elements Yoon, Boram; Gupta, Rajan; Bhattacharya, Tanmoy Physical Review D, Vol. 93, Issue 11 https://doi.org/10.1103/PhysRevD.93.114506	journal	June 2016
Isovector charges of the nucleon from $2 + 1$ -flavor QCD with clover fermions Yoon, Boram; Jang, Yong-Chull; Gupta, Rajan Physical Review D, Vol. 95, Issue 7 https://doi.org/10.1103/PhysRevD.95.074508	journal	April 2017
Axial Vector Form Factors from Lattice QCD that Satisfy the PCAC Relation Jang, Yong-Chull; Gupta, Rajan; Yoon, Boram Physical Review Letters, Vol. 124, Issue 7 https://doi.org/10.1103/PhysRevLett.124.072002	journal	February 2020
Perturbative and nonperturbative renormalization in lattice QCD Göckeler, M.; Horsley, R.; Nakamura, Y. Physical Review D, Vol. 82, Issue 11 https://doi.org/10.1103/PhysRevD.82.114511	journal	December 2010
Isovector charges of the nucleon from $2 + 1 + 1$ -flavor lattice QCD Gupta, Rajan; Jang, Yong-Chull; Yoon, Boram Physical Review D, Vol. 98, Issue 3 https://doi.org/10.1103/PhysRevD.98.034503	journal	August 2018
The Chroma Software System for Lattice QCD Edwards, Robert G.; Joó, Bálint Nuclear Physics B - Proceedings Supplements, Vol. 140 https://doi.org/10.1016/j.nuclphysbps.2004.11.254	journal	March 2005

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