Measurements of Nonsinglet Moments of the Nucleon Structure Functions and Comparison to Predictions from Lattice QCD for
Abstract
We present extractions of the nucleon non-singlet moments utilizing new precision data on the deuteron F2 structure function at large Bjorken-x determined via the Rosenbluth separation technique at Jefferson Lab Experimental Hall C. These new data are combined with a complementary set of data on the proton previously measured in Hall C at similar kinematics and world data sets on the proton and deuteron at lower x measured at SLAC and CERN. The new Jefferson Lab data provide coverage of the upper third of the x range, crucial for precision determination of the higher moments. In contrast to previous extractions, these moments have been corrected for nuclear effects in the deuteron using a new global fit to the deuteron and proton data. The obtained experimental moments represent an order of magnitude improvement in precision over previous extractions using high x data. Furthermore, recent exciting developments in Lattice QCD calculations provide a first ever comparison of these new experimental results with calculations of moments carried out at the physical pion mass, as well as an innovative approach which first calculates the quark distributions directly before determining moments.
- Authors:
- more »
- Publication Date:
- Research Org.:
- Argonne National Lab. (ANL), Argonne, IL (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Mississippi State Univ., Mississippi State, MS (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Univ. of Rochester, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF)
- Contributing Org.:
- E06-009 Collaboration
- OSTI Identifier:
- 1564094
- Alternate Identifier(s):
- OSTI ID: 1542289; OSTI ID: 1546496; OSTI ID: 1599200; OSTI ID: 1830330; OSTI ID: 1838673
- Grant/Contract Number:
- AC02-06CH11357; AC02-05CH11231; FG02-96ER40950; AC05-06OR23177; PHY-1002644; PHY-1508272; FG02-07ER41528; SC0008475
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 123; Journal Issue: 2; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Lattice QCD; Nuclear structure & decays; Perturbative QCD; QCD in nuclear reactions; Quantum chromodynamics; Quark model; Resonance reactions
Citation Formats
Albayrak, I., Mamyan, V., Christy, M. E., Ahmidouch, A., Arrington, J., Asaturyan, A., Bodek, A., Bosted, P., Bradford, R., Brash, E., Bruell, A., Butuceanu, C., Coleman, S. J., Commisso, M., Connell, S. H., Dalton, M. M., Danagoulian, S., Daniel, A., Day, D. B., Dhamija, S., Dunne, J., Dutta, D., Ent, R., Gaskell, D., Gasparian, A., Gran, R., Horn, T., Huang, Liting, Huber, G. M., Jayalath, C., Johnson, M., Jones, M. K., Kalantarians, N., Liyanage, A., Keppel, C. E., Kinney, E., Li, Y., Malace, S., Manly, S., Markowitz, P., Maxwell, J., Mbianda, N. N., McFarland, K. S., Meziane, M., Meziani, Z. E., Mills, G. B., Mkrtchyan, H., Mkrtchyan, A., Mulholland, J., Nelson, J., Niculescu, G., Niculescu, I., Pentchev, L., Puckett, A., Punjabi, V., Qattan, I. A., Reimer, P. E., Reinhold, J., Rodriguez, V. M., Rondon-Aramayo, O., Sakuda, M., Sakumoto, W. K., Segbefia, E., Seva, T., Sick, I., Slifer, K., Smith, G. R., Steinman, J., Solvignon, P., Tadevosyan, V., Tajima, S., Tvaskis, V., Vulcan, W. F., Walton, T., Wesselmann, F. R., Wood, S. A., and Ye, Zhihong. Measurements of Nonsinglet Moments of the Nucleon Structure Functions and Comparison to Predictions from Lattice QCD for Q2=4 GeV2. United States: N. p., 2019.
Web. doi:10.1103/PhysRevLett.123.022501.
Albayrak, I., Mamyan, V., Christy, M. E., Ahmidouch, A., Arrington, J., Asaturyan, A., Bodek, A., Bosted, P., Bradford, R., Brash, E., Bruell, A., Butuceanu, C., Coleman, S. J., Commisso, M., Connell, S. H., Dalton, M. M., Danagoulian, S., Daniel, A., Day, D. B., Dhamija, S., Dunne, J., Dutta, D., Ent, R., Gaskell, D., Gasparian, A., Gran, R., Horn, T., Huang, Liting, Huber, G. M., Jayalath, C., Johnson, M., Jones, M. K., Kalantarians, N., Liyanage, A., Keppel, C. E., Kinney, E., Li, Y., Malace, S., Manly, S., Markowitz, P., Maxwell, J., Mbianda, N. N., McFarland, K. S., Meziane, M., Meziani, Z. E., Mills, G. B., Mkrtchyan, H., Mkrtchyan, A., Mulholland, J., Nelson, J., Niculescu, G., Niculescu, I., Pentchev, L., Puckett, A., Punjabi, V., Qattan, I. A., Reimer, P. E., Reinhold, J., Rodriguez, V. M., Rondon-Aramayo, O., Sakuda, M., Sakumoto, W. K., Segbefia, E., Seva, T., Sick, I., Slifer, K., Smith, G. R., Steinman, J., Solvignon, P., Tadevosyan, V., Tajima, S., Tvaskis, V., Vulcan, W. F., Walton, T., Wesselmann, F. R., Wood, S. A., & Ye, Zhihong. Measurements of Nonsinglet Moments of the Nucleon Structure Functions and Comparison to Predictions from Lattice QCD for Q2=4 GeV2. United States. https://doi.org/10.1103/PhysRevLett.123.022501
Albayrak, I., Mamyan, V., Christy, M. E., Ahmidouch, A., Arrington, J., Asaturyan, A., Bodek, A., Bosted, P., Bradford, R., Brash, E., Bruell, A., Butuceanu, C., Coleman, S. J., Commisso, M., Connell, S. H., Dalton, M. M., Danagoulian, S., Daniel, A., Day, D. B., Dhamija, S., Dunne, J., Dutta, D., Ent, R., Gaskell, D., Gasparian, A., Gran, R., Horn, T., Huang, Liting, Huber, G. M., Jayalath, C., Johnson, M., Jones, M. K., Kalantarians, N., Liyanage, A., Keppel, C. E., Kinney, E., Li, Y., Malace, S., Manly, S., Markowitz, P., Maxwell, J., Mbianda, N. N., McFarland, K. S., Meziane, M., Meziani, Z. E., Mills, G. B., Mkrtchyan, H., Mkrtchyan, A., Mulholland, J., Nelson, J., Niculescu, G., Niculescu, I., Pentchev, L., Puckett, A., Punjabi, V., Qattan, I. A., Reimer, P. E., Reinhold, J., Rodriguez, V. M., Rondon-Aramayo, O., Sakuda, M., Sakumoto, W. K., Segbefia, E., Seva, T., Sick, I., Slifer, K., Smith, G. R., Steinman, J., Solvignon, P., Tadevosyan, V., Tajima, S., Tvaskis, V., Vulcan, W. F., Walton, T., Wesselmann, F. R., Wood, S. A., and Ye, Zhihong. Tue .
"Measurements of Nonsinglet Moments of the Nucleon Structure Functions and Comparison to Predictions from Lattice QCD for Q2=4 GeV2". United States. https://doi.org/10.1103/PhysRevLett.123.022501. https://www.osti.gov/servlets/purl/1564094.
@article{osti_1564094,
title = {Measurements of Nonsinglet Moments of the Nucleon Structure Functions and Comparison to Predictions from Lattice QCD for Q2=4 GeV2},
author = {Albayrak, I. and Mamyan, V. and Christy, M. E. and Ahmidouch, A. and Arrington, J. and Asaturyan, A. and Bodek, A. and Bosted, P. and Bradford, R. and Brash, E. and Bruell, A. and Butuceanu, C. and Coleman, S. J. and Commisso, M. and Connell, S. H. and Dalton, M. M. and Danagoulian, S. and Daniel, A. and Day, D. B. and Dhamija, S. and Dunne, J. and Dutta, D. and Ent, R. and Gaskell, D. and Gasparian, A. and Gran, R. and Horn, T. and Huang, Liting and Huber, G. M. and Jayalath, C. and Johnson, M. and Jones, M. K. and Kalantarians, N. and Liyanage, A. and Keppel, C. E. and Kinney, E. and Li, Y. and Malace, S. and Manly, S. and Markowitz, P. and Maxwell, J. and Mbianda, N. N. and McFarland, K. S. and Meziane, M. and Meziani, Z. E. and Mills, G. B. and Mkrtchyan, H. and Mkrtchyan, A. and Mulholland, J. and Nelson, J. and Niculescu, G. and Niculescu, I. and Pentchev, L. and Puckett, A. and Punjabi, V. and Qattan, I. A. and Reimer, P. E. and Reinhold, J. and Rodriguez, V. M. and Rondon-Aramayo, O. and Sakuda, M. and Sakumoto, W. K. and Segbefia, E. and Seva, T. and Sick, I. and Slifer, K. and Smith, G. R. and Steinman, J. and Solvignon, P. and Tadevosyan, V. and Tajima, S. and Tvaskis, V. and Vulcan, W. F. and Walton, T. and Wesselmann, F. R. and Wood, S. A. and Ye, Zhihong},
abstractNote = {We present extractions of the nucleon non-singlet moments utilizing new precision data on the deuteron F2 structure function at large Bjorken-x determined via the Rosenbluth separation technique at Jefferson Lab Experimental Hall C. These new data are combined with a complementary set of data on the proton previously measured in Hall C at similar kinematics and world data sets on the proton and deuteron at lower x measured at SLAC and CERN. The new Jefferson Lab data provide coverage of the upper third of the x range, crucial for precision determination of the higher moments. In contrast to previous extractions, these moments have been corrected for nuclear effects in the deuteron using a new global fit to the deuteron and proton data. The obtained experimental moments represent an order of magnitude improvement in precision over previous extractions using high x data. Furthermore, recent exciting developments in Lattice QCD calculations provide a first ever comparison of these new experimental results with calculations of moments carried out at the physical pion mass, as well as an innovative approach which first calculates the quark distributions directly before determining moments.},
doi = {10.1103/PhysRevLett.123.022501},
journal = {Physical Review Letters},
number = 2,
volume = 123,
place = {United States},
year = {2019},
month = {7}
}
Web of Science
Figures / Tables:

Works referenced in this record:
Moments of the Longitudinal Proton Structure Function from Global Data in the Range
journal, April 2013
- Monaghan, P.; Accardi, A.; Christy, M. E.
- Physical Review Letters, Vol. 110, Issue 15
On the difficulty of computing higher-twist corrections
journal, November 1996
- Martinelli, G.; Sachrajda, C. T.
- Nuclear Physics B, Vol. 478, Issue 3
A lattice evaluation of four-quark operators in the nucleon
journal, February 2002
- Göckeler, M.; Horsley, R.; Klaus, B.
- Nuclear Physics B, Vol. 623, Issue 1-2
Nucleon isovector structure functions in ( )-flavor QCD with domain wall fermions
journal, July 2010
- Aoki, Yasumichi; Blum, Tom; Lin, Huey-Wen
- Physical Review D, Vol. 82, Issue 1
Polarized and unpolarized nucleon structure functions from lattice QCD
journal, March 1996
- Göckeler, M.; Horsley, R.; Ilgenfritz, E. -M.
- Physical Review D, Vol. 53, Issue 5
Parton distributions and lattice QCD calculations: A community white paper
journal, May 2018
- Lin, Huey-Wen; Nocera, Emanuele R.; Olness, Fred
- Progress in Particle and Nuclear Physics, Vol. 100
Parton distribution functions and benchmark cross sections at next-to-next-to-leading order
journal, September 2012
- Alekhin, S.; Blümlein, J.; Moch, S.
- Physical Review D, Vol. 86, Issue 5
Uncertainties of predictions from parton distributions I: Experimental errors
journal, June 2003
- Martin, A. D.; Roberts, R. G.; Stirling, W. J.
- The European Physical Journal C, Vol. 28, Issue 4
Nucleon and pion structure with lattice QCD simulations at physical value of the pion mass
journal, December 2015
- Abdel-Rehim, A.; Alexandrou, C.; Constantinou, M.
- Physical Review D, Vol. 92, Issue 11
New parton distributions from large- and low- data
journal, February 2010
- Accardi, A.; Christy, M. E.; Keppel, C. E.
- Physical Review D, Vol. 81, Issue 3
Nucleon Structure Functions from Operator Product Expansion on the Lattice
text, January 2017
- Chambers, A. ?J.; Horsley, R.; Nakamura, Y.
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Global parton distributions with nuclear and finite- corrections
journal, May 2013
- Owens, J. F.; Accardi, A.; Melnitchouk, W.
- Physical Review D, Vol. 87, Issue 9
Positivity constraints for anomalous dimensions
journal, October 1973
- Nachtmann, Otto
- Nuclear Physics B, Vol. 63
Quasielastic electron-deuteron scattering in the weak-binding approximation
journal, June 2014
- Ethier, J. J.; Doshi, N.; Malace, S.
- Physical Review C, Vol. 89, Issue 6
Nucleon structure from Lattice QCD using a nearly physical pion mass
journal, June 2014
- Green, J. R.; Engelhardt, M.; Krieg, S.
- Physics Letters B, Vol. 734
Empirical fit to precision inclusive electron-proton cross sections in the resonance region
journal, May 2010
- Christy, M. E.; Bosted, P. E.
- Physical Review C, Vol. 81, Issue 5
Parton distributions and lattice QCD calculations: A community white paper
text, January 2018
- Unknown, (:Unkn)
- My University
Higher twist in electroproduction: Flavor nonsinglet QCD evolution
journal, August 2013
- Glatzmaier, Michael J.; Mantry, Sonny; Ramsey-Musolf, Michael J.
- Physical Review C, Vol. 88, Issue 2
Moments of nuclear and nucleon structure functions at low and the momentum sum rule
journal, April 2006
- Niculescu, I.; Arrington, J.; Ent, R.
- Physical Review C, Vol. 73, Issue 4
Measurement of the proton and deuteron structure functions, F2p and F2d, and of the ratio
journal, January 1997
- Arneodo, M.; Arvidson, A.; Badełek, B.
- Nuclear Physics B, Vol. 483, Issue 1-2
Global analysis of proton elastic form factor data with two-photon exchange corrections
journal, September 2007
- Arrington, J.; Melnitchouk, W.; Tjon, J. A.
- Physical Review C, Vol. 76, Issue 3
Parton distributions and lattice QCD calculations: A community white paper
text, January 2018
- Lin, Huey-Wen; Nocera, Emanuele R.; Olness, Fred
- Deutsches Elektronen-Synchrotron, DESY, Hamburg
Nucleon structure from mixed action calculations using flavors of asqtad sea and domain wall valence fermions
journal, November 2010
- Bratt, J. D.; Edwards, R. G.; Engelhardt, M.
- Physical Review D, Vol. 82, Issue 9
The moment of the nucleon from lattice QCD down to nearly physical quark masses
journal, October 2014
- Bali, Gunnar S.; Collins, Sara; Gläßle, Benjamin
- Physical Review D, Vol. 90, Issue 7
High-precision, charge-dependent Bonn nucleon-nucleon potential
journal, January 2001
- Machleidt, R.
- Physical Review C, Vol. 63, Issue 2
Q2-dependence of the nucleon's G1 structure function sum rule
journal, July 1994
- Ji, Xiangdong; Unrau, Peter
- Physics Letters B, Vol. 333, Issue 1-2
Nucleon Structure Functions from Operator Product Expansion on the Lattice
journal, June 2017
- Chambers, A. J.; Horsley, R.; Nakamura, Y.
- Physical Review Letters, Vol. 118, Issue 24
Next-to-next-to-leading order QCD contributions to the flavor nonsinglet sector of
journal, October 2008
- Khorramian, Ali N.; Tehrani, S. Atashbar
- Physical Review D, Vol. 78, Issue 7
Covariant spectator theory of scattering: Effective range expansions and relativistic deuteron wave functions
journal, September 2010
- Gross, Franz; Stadler, Alfred
- Physical Review C, Vol. 82, Issue 3
Quark–hadron duality in electron scattering
journal, January 2005
- Melnitchouk, W.; Ent, R.; Keppel, C.
- Physics Reports, Vol. 406, Issue 3-4
One-loop evolution of parton pseudo-distribution functions on the lattice
journal, July 2018
- Radyushkin, Anatoly
- Physical Review D, Vol. 98, Issue 1
Leading twist moments of the neutron structure function
journal, February 2006
- Osipenko, M.; Melnitchouk, W.; Simula, S.
- Nuclear Physics A, Vol. 766
Non-singlet QCD analysis of deep inelastic world data at
journal, July 2007
- Blümlein, Johannes; Böttcher, Helmut; Guffanti, Alberto
- Nuclear Physics B, Vol. 774, Issue 1-3
Experimental Investigation of Pion Electroproduction
journal, February 1963
- Hand, L. N.
- Physical Review, Vol. 129, Issue 4
Next-to-leading order analysis of polarized and unpolarized structure functions
journal, April 1996
- Weigl, T.; Melnitchouk, W.
- Nuclear Physics B, Vol. 465, Issue 1-2
Nucleon and pion structure with lattice QCD simulations at physical
value of the pion mass
text, January 2015
- Abdel-Rehim, A.; Alexandrou, C.; Constantinou, M.
- INFN Open Access Repository
Quasielastic electron-deuteron scattering in the weak binding approximation
text, January 2014
- Ethier, J. J.; Doshi, N.; Malace, S.
- arXiv
Parton distributions and lattice QCD calculations: a community white paper
text, January 2017
- Lin, Huey-Wen; Nocera, Emanuele R.; Olness, Fred
- arXiv
One-loop evolution of parton pseudo-distribution functions on the lattice
text, January 2018
- Radyushkin, Anatoly
- arXiv
A lattice evaluation of four-quark operators in the nucleon
text, January 2001
- Göckeler, M.; Horsley, R.; Klaus, B.
- arXiv
Quark-hadron duality in electron scattering
text, January 2005
- Melnitchouk, W.; Ent, R.; Keppel, C.
- arXiv
Q^2-Dependence of the Proton's G_1 Structure Function Sum Rule
text, January 1993
- Ji, Xiangdong; Unrau, Peter
- arXiv
Figures / Tables found in this record: