Measurements of Nonsinglet Moments of the Nucleon Structure Functions and Comparison to Predictions from Lattice QCD for Q2=4 GeV2

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

doi:10.1103/PhysRevLett.123.022501

Title: Measurements of Nonsinglet Moments of the Nucleon Structure Functions and Comparison to Predictions from Lattice QCD for $Q^{2} = 4 {GeV}^{2}$

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:

; 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. more »

Publication Date:: 2019-07-09

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.

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                    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

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                    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.

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@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}

}

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FIG. 1: E06-009 data on deuteron F₂ before and after subtraction of the QE contribution. The band at the bottom represents the estimated systematic uncertainty from this procedure. The dot dashed curve is the QE model, the short dashed curve is the total (QE+ inelastic) model and the solid curvemore »

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Title: Measurements of Nonsinglet Moments of the Nucleon Structure Functions and Comparison to Predictions from Lattice QCD for Q 2 = 4 GeV 2

Abstract

Citation Formats

Figures / Tables:

Moments of the Longitudinal Proton Structure Function F L from Global Data in the Q 2 Range 0.75 – 45.0 ( GeV / c ) 2 journal, April 2013

On the difficulty of computing higher-twist corrections journal, November 1996

A lattice evaluation of four-quark operators in the nucleon journal, February 2002

Nucleon isovector structure functions in ( 2 + 1 )-flavor QCD with domain wall fermions journal, July 2010

Polarized and unpolarized nucleon structure functions from lattice QCD journal, March 1996

Parton distributions and lattice QCD calculations: A community white paper journal, May 2018

Parton distribution functions and benchmark cross sections at next-to-next-to-leading order journal, September 2012

Uncertainties of predictions from parton distributions I: Experimental errors journal, June 2003

Nucleon and pion structure with lattice QCD simulations at physical value of the pion mass journal, December 2015

New parton distributions from large- x and low- Q 2 data journal, February 2010

Nucleon Structure Functions from Operator Product Expansion on the Lattice text, January 2017

Global parton distributions with nuclear and finite- Q 2 corrections journal, May 2013

Positivity constraints for anomalous dimensions journal, October 1973

Quasielastic electron-deuteron scattering in the weak-binding approximation journal, June 2014

Nucleon structure from Lattice QCD using a nearly physical pion mass journal, June 2014

Empirical fit to precision inclusive electron-proton cross sections in the resonance region journal, May 2010

Parton distributions and lattice QCD calculations: A community white paper text, January 2018

Higher twist in electroproduction: Flavor nonsinglet QCD evolution journal, August 2013

Moments of nuclear and nucleon structure functions at low Q 2 and the momentum sum rule journal, April 2006

Measurement of the proton and deuteron structure functions, F2p and F2d, and of the ratio journal, January 1997

Global analysis of proton elastic form factor data with two-photon exchange corrections journal, September 2007

Parton distributions and lattice QCD calculations: A community white paper text, January 2018

Nucleon structure from mixed action calculations using 2 + 1 flavors of asqtad sea and domain wall valence fermions journal, November 2010

The moment ⟨ x ⟩ u − d of the nucleon from N f = 2 lattice QCD down to nearly physical quark masses journal, October 2014

High-precision, charge-dependent Bonn nucleon-nucleon potential journal, January 2001

Q2-dependence of the nucleon's G1 structure function sum rule journal, July 1994

Nucleon Structure Functions from Operator Product Expansion on the Lattice journal, June 2017

Next-to-next-to-leading order QCD contributions to the flavor nonsinglet sector of F 2 ( x , Q 2 ) journal, October 2008

Covariant spectator theory of np scattering: Effective range expansions and relativistic deuteron wave functions journal, September 2010

Quark–hadron duality in electron scattering journal, January 2005

One-loop evolution of parton pseudo-distribution functions on the lattice journal, July 2018

Leading twist moments of the neutron structure function journal, February 2006

Non-singlet QCD analysis of deep inelastic world data at journal, July 2007

Experimental Investigation of Pion Electroproduction journal, February 1963

Next-to-leading order analysis of polarized and unpolarized structure functions journal, April 1996

Nucleon and pion structure with lattice QCD simulations at physical value of the pion mass text, January 2015

Quasielastic electron-deuteron scattering in the weak binding approximation text, January 2014

Parton distributions and lattice QCD calculations: a community white paper text, January 2017

One-loop evolution of parton pseudo-distribution functions on the lattice text, January 2018

A lattice evaluation of four-quark operators in the nucleon text, January 2001

Quark-hadron duality in electron scattering text, January 2005

Q^2-Dependence of the Proton's G_1 Structure Function Sum Rule text, January 1993

Title: Measurements of Nonsinglet Moments of the Nucleon Structure Functions and Comparison to Predictions from Lattice QCD for $Q^{2} = 4 {GeV}^{2}$

Moments of the Longitudinal Proton Structure Function $F_{L}$ from Global Data in the $Q^{2}$ Range $0.75 - 45.0 (GeV / c)^{2}$
journal, April 2013

On the difficulty of computing higher-twist corrections
journal, November 1996

A lattice evaluation of four-quark operators in the nucleon
journal, February 2002

Nucleon isovector structure functions in ( $2 + 1$ )-flavor QCD with domain wall fermions
journal, July 2010

Polarized and unpolarized nucleon structure functions from lattice QCD
journal, March 1996

Parton distributions and lattice QCD calculations: A community white paper
journal, May 2018

Parton distribution functions and benchmark cross sections at next-to-next-to-leading order
journal, September 2012

Uncertainties of predictions from parton distributions I: Experimental errors
journal, June 2003

Nucleon and pion structure with lattice QCD simulations at physical value of the pion mass
journal, December 2015

New parton distributions from large- $x$ and low- $Q^{2}$ data
journal, February 2010

Nucleon Structure Functions from Operator Product Expansion on the Lattice
text, January 2017

Global parton distributions with nuclear and finite- $Q^{2}$ corrections
journal, May 2013

Positivity constraints for anomalous dimensions
journal, October 1973

Quasielastic electron-deuteron scattering in the weak-binding approximation
journal, June 2014

Nucleon structure from Lattice QCD using a nearly physical pion mass
journal, June 2014

Empirical fit to precision inclusive electron-proton cross sections in the resonance region
journal, May 2010

Parton distributions and lattice QCD calculations: A community white paper
text, January 2018

Higher twist in electroproduction: Flavor nonsinglet QCD evolution
journal, August 2013

Moments of nuclear and nucleon structure functions at low $Q^{2}$ and the momentum sum rule
journal, April 2006

Measurement of the proton and deuteron structure functions, F2p and F2d, and of the ratio
journal, January 1997

Global analysis of proton elastic form factor data with two-photon exchange corrections
journal, September 2007

Parton distributions and lattice QCD calculations: A community white paper
text, January 2018

Nucleon structure from mixed action calculations using $2 + 1$ flavors of asqtad sea and domain wall valence fermions
journal, November 2010

The moment $⟨ x ⟩_{u - d}$ of the nucleon from $N_{f} = 2$ lattice QCD down to nearly physical quark masses
journal, October 2014

High-precision, charge-dependent Bonn nucleon-nucleon potential
journal, January 2001

Q2-dependence of the nucleon's G1 structure function sum rule
journal, July 1994

Nucleon Structure Functions from Operator Product Expansion on the Lattice
journal, June 2017

Next-to-next-to-leading order QCD contributions to the flavor nonsinglet sector of $F_{2} (x, Q^{2})$
journal, October 2008

Covariant spectator theory of $np$ scattering: Effective range expansions and relativistic deuteron wave functions
journal, September 2010

Quark–hadron duality in electron scattering
journal, January 2005

One-loop evolution of parton pseudo-distribution functions on the lattice
journal, July 2018

Leading twist moments of the neutron structure function
journal, February 2006

Non-singlet QCD analysis of deep inelastic world data at
journal, July 2007

Experimental Investigation of Pion Electroproduction
journal, February 1963

Next-to-leading order analysis of polarized and unpolarized structure functions
journal, April 1996

Nucleon and pion structure with lattice QCD simulations at physical value of the pion mass
text, January 2015

Quasielastic electron-deuteron scattering in the weak binding approximation
text, January 2014

Parton distributions and lattice QCD calculations: a community white paper
text, January 2017

One-loop evolution of parton pseudo-distribution functions on the lattice
text, January 2018

A lattice evaluation of four-quark operators in the nucleon
text, January 2001

Quark-hadron duality in electron scattering
text, January 2005

Q^2-Dependence of the Proton's G_1 Structure Function Sum Rule
text, January 1993