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Title: Nucleon and nuclear structure functions with nonperturbative and higher order perturbative QCD effects

Abstract

We have studied the nucleon structure functions F EM iN(x,Q 2), i = 1, 2, by including contributions due to the higher order perturbative QCD effect up to next-to-next-to-leading order (NNLO) and the nonperturbative effects due to the kinematical and dynamical higher twist (HT) effects. The numerical results for F EM iN(x,Q 2) are obtained using Martin, Motylinski, Harland-Lang, Thorne 2014 NLO and NNLO nucleon parton distribution functions (PDFs). The dynamical HT correction has been included following the renormalon approach as well as the phenomenological approach, and the kinematical HT effect is incorporated using the works of Schienbein et al. These nucleon structure functions have been used as an input to calculate the nuclear structure functions F EM iN(x,Q 2). In a nucleus, the nuclear corrections arise because of the Fermi motion, binding energy, nucleon correlations, mesonic contribution, and shadowing and antishadowing effects. These nuclear corrections are taken into account in the numerical calculations to obtain the nuclear structure functions F EM iN(x,Q 2), for the various nuclear targets such as 12C, 27Al, 56Fe, 64Cu, 118Sn, 197Au, and 208Pb which are of experimental interest. The effect of isoscalarity correction for nonisoscalar nuclear targets has also been studied. The results for themore » F EM iN(x,Q 2) are compared with nCTEQ nuclear PDFs parametrization as well as with the experimental results from JLab, SLAC, and NMC in the kinematic region of 0.1 ≤ x ≤ 0.8 for several nuclei. We have also calculated the ratio RA(x,Q 2) = F 2A(x,Q 2)/2x F 1A(x,Q 2) in the moderate Q 2 region for various nuclei and compared the results with the available experimental data from JLab to examine the validity of the Callan-Gross relation in the nuclei. We also make predictions for the nuclear structure functions in 12C, 64Cu, and 197Au in the kinematic region of the proposed experiment at JLab.« less

Authors:
 [1];  [2];  [1];  [1];  [3]
  1. Aligarh Muslim Univ., Aligarh (India)
  2. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
  3. Univ. de Granada, Granada (Spain)
Publication Date:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1525455
Report Number(s):
arXiv:1903.09000; FERMILAB-PUB-19-150-ND
Journal ID: ISSN 2470-0010; PRVDAQ; 1726114
Grant/Contract Number:  
AC02-07CH11359
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 99; Journal Issue: 9; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Zaidi, F., Haider, H., Athar, M. Sajjad, Singh, S. K., and Simo, I. Ruiz. Nucleon and nuclear structure functions with nonperturbative and higher order perturbative QCD effects. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.99.093011.
Zaidi, F., Haider, H., Athar, M. Sajjad, Singh, S. K., & Simo, I. Ruiz. Nucleon and nuclear structure functions with nonperturbative and higher order perturbative QCD effects. United States. doi:10.1103/PhysRevD.99.093011.
Zaidi, F., Haider, H., Athar, M. Sajjad, Singh, S. K., and Simo, I. Ruiz. Tue . "Nucleon and nuclear structure functions with nonperturbative and higher order perturbative QCD effects". United States. doi:10.1103/PhysRevD.99.093011. https://www.osti.gov/servlets/purl/1525455.
@article{osti_1525455,
title = {Nucleon and nuclear structure functions with nonperturbative and higher order perturbative QCD effects},
author = {Zaidi, F. and Haider, H. and Athar, M. Sajjad and Singh, S. K. and Simo, I. Ruiz},
abstractNote = {We have studied the nucleon structure functions FEMiN(x,Q2), i = 1, 2, by including contributions due to the higher order perturbative QCD effect up to next-to-next-to-leading order (NNLO) and the nonperturbative effects due to the kinematical and dynamical higher twist (HT) effects. The numerical results for FEMiN(x,Q2) are obtained using Martin, Motylinski, Harland-Lang, Thorne 2014 NLO and NNLO nucleon parton distribution functions (PDFs). The dynamical HT correction has been included following the renormalon approach as well as the phenomenological approach, and the kinematical HT effect is incorporated using the works of Schienbein et al. These nucleon structure functions have been used as an input to calculate the nuclear structure functions FEMiN(x,Q2). In a nucleus, the nuclear corrections arise because of the Fermi motion, binding energy, nucleon correlations, mesonic contribution, and shadowing and antishadowing effects. These nuclear corrections are taken into account in the numerical calculations to obtain the nuclear structure functions FEMiN(x,Q2), for the various nuclear targets such as 12C, 27Al, 56Fe, 64Cu, 118Sn, 197Au, and 208Pb which are of experimental interest. The effect of isoscalarity correction for nonisoscalar nuclear targets has also been studied. The results for the FEMiN(x,Q2) are compared with nCTEQ nuclear PDFs parametrization as well as with the experimental results from JLab, SLAC, and NMC in the kinematic region of 0.1 ≤ x ≤ 0.8 for several nuclei. We have also calculated the ratio RA(x,Q2) = F2A(x,Q2)/2xF1A(x,Q2) in the moderate Q2 region for various nuclei and compared the results with the available experimental data from JLab to examine the validity of the Callan-Gross relation in the nuclei. We also make predictions for the nuclear structure functions in 12C, 64Cu, and 197Au in the kinematic region of the proposed experiment at JLab.},
doi = {10.1103/PhysRevD.99.093011},
journal = {Physical Review D},
number = 9,
volume = 99,
place = {United States},
year = {2019},
month = {5}
}

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Works referenced in this record:

NuSTEC 1 1Neutrino Scattering Theory Experiment Collaboration http://nustec.fnal.gov.  White Paper: Status and challenges of neutrino–nucleus scattering
journal, May 2018

  • Alvarez-Ruso, L.; Sajjad Athar, M.; Barbaro, M. B.
  • Progress in Particle and Nuclear Physics, Vol. 100
  • DOI: 10.1016/j.ppnp.2018.01.006

Impact of nuclear dependence of R = σ L / σ T on antishadowing in nuclear structure functions
journal, October 2012


Nuclear Corrections in ν A DIS and Their Compatibility with Global NPDF Analyses
journal, January 2012


Nuclear medium effects in F 2 A EM ( x , Q 2 ) and F 2 A Weak ( x , Q 2 ) structure functions
journal, November 2016


Nuclear medium effects in structure functions of nucleon at moderate Q 2
journal, November 2015


Scaling, Duality, and the Behavior of Resonances in Inelastic Electron-Proton Scattering
journal, October 1970


Measurement of partonic nuclear effects in deep-inelastic neutrino scattering using MINERvA
journal, April 2016


High-Energy Electroproduction and the Constitution of the Electric Current
journal, January 1969


Quark–hadron duality in electron scattering
journal, January 2005


Target mass corrections
journal, March 2008

  • Schienbein, Ingo; Radescu, Voica A.; Zeller, G. P.
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 35, Issue 5
  • DOI: 10.1088/0954-3899/35/5/053101

Evidence for higher twist from R = σ L σ T data in deep-inelastic electron scattering
journal, October 1989

  • Miramontes, J. L.; Miramontes, M. A.; Guillén, J. Sánchez
  • Physical Review D, Vol. 40, Issue 7
  • DOI: 10.1103/PhysRevD.40.2184

Twist-four corrections to charged- and neutral-current neutrino scattering
journal, June 1985


Structure functions at low : higher twists and target mass effects
journal, February 2007


A precise extraction of R=σL/σT from a global analysis of the SLAC deep inelastic e-p and e-d scattering cross sections
journal, November 1990


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


Measurements of R=σL/σT for 0.03<x<0.1 and fit to world data
journal, April 1999


Precision Measurement of R = σ L σ T and F 2 in Deep-Inelastic Electron Scattering
journal, August 1988


Measurement of kinematic and nuclear dependence of R = σ L σ T in deep inelastic electron scattering
journal, June 1994


Measurement of the Difference in R = σ L σ T and of σ A σ D in Deep-Inelastic e D , e F e , and e A u Scattering
journal, June 1988


Longitudinal-Transverse Separations of Deep-Inelastic Structure Functions at Low Q 2 for Hydrogen and Deuterium
journal, April 2007


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


A high statistics measurement of the proton structure functions F2(x, Q2) and R from deep inelastic muon scattering at high Q2
journal, June 1989


A high statistics measurement of the nucleon structure function F2(x,Q2) from deep inelastic muon-carbon scattering at high Q2
journal, August 1987


The ratio of the nucleon structure functions F2N for iron and deuterium
journal, March 1983


Electron Scattering from Nuclear Targets and Quark Distributions in Nuclei
journal, May 1983


Comparison of the Deep-Inelastic Structure Functions of Deuterium and Aluminum Nuclei
journal, August 1983


The challenge of the EMC effect: Existing data and future directions
journal, August 2014

  • Malace, Simona; Gaskell, David; Higinbotham, Douglas W.
  • International Journal of Modern Physics E, Vol. 23, Issue 08
  • DOI: 10.1142/S0218301314300136

The Nuclear EMC Effect
journal, December 1995


The emc Effect and high Momentum Nucleons in Nuclei
journal, July 2013

  • Hen, Or; Higinbotham, Douglas W.; Miller, Gerald A.
  • International Journal of Modern Physics E, Vol. 22, Issue 07
  • DOI: 10.1142/S0218301313300178

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


The third-order QCD corrections to deep-inelastic scattering by photon exchange
journal, September 2005


The longitudinal structure function at the third order
journal, January 2005


Power corrections and renormalons in deep inelastic structure functions
journal, August 1996


Renormalon model predictions for power corrections to flavor-singlet deep-inelastic structure functions
journal, December 1998


A measurement of αs and of higher twists from a QCD analysis of high statistics F2 data on hydrogen and deuterium targets
journal, January 1992


Mesonic and binding contributions to the EMC effect in a relativistic many-body approach
journal, December 1996


Pion cloud contribution to K + -nucleus scattering
journal, January 1995


Global study of nuclear structure functions
journal, January 2006


Pionic parton distributions
journal, December 1992

  • Glück, M.; Reya, E.; Vogt, A.
  • Zeitschrift für Physik C Particles and Fields, Vol. 53, Issue 4
  • DOI: 10.1007/BF01559743

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


Measurement of the A dependence of deep-inelastic electron scattering
journal, May 1994


The A dependence of the nuclear structure function ratios
journal, December 1996


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


nCTEQ15: Global analysis of nuclear parton distributions with uncertainties in the CTEQ framework
journal, April 2016


Semiphenomenological approach to nucleon properties in nuclear matter
journal, November 1992


Parity violating asymmetry with nuclear medium effects in deep inelastic e scattering
journal, August 2015


Nuclear medium effects in ν ( ν ¯ ) -nucleus deep inelastic scattering
journal, November 2011


ν ( ν ¯ ) 208 Pb deep-inelastic scattering
journal, May 2012


Effects of the nuclear medium and non-isoscalarity in extracting sin 2 θ W using the Paschos-Wolfenstein relation
journal, March 2013


Nuclear medium modification of the structure function
journal, May 2011


Nuclear medium effects in Drell–Yan process
journal, March 2017

  • Haider, H.; Athar, M. Sajjad; Singh, S. K.
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 44, Issue 4
  • DOI: 10.1088/1361-6471/aa60ea

Asymptotic freedom in parton language
journal, August 1977


NNLO evolution of deep-inelastic structure functions: the non-singlet case
journal, February 2000


NNLO evolution of deep-inelastic structure functions: the singlet case
journal, November 2000


Lepton-hadron processes beyond leading order in quantum chromodynamics
journal, December 1982

  • Furmanski, W.; Petronzio, R.
  • Zeitschrift für Physik C Particles and Fields, Vol. 11, Issue 4
  • DOI: 10.1007/BF01578280

Numerical solution of Q2 evolution equations for polarized structure functions
journal, January 1998


A FORTRAN program for numerical solution of the Altarelli-Parisi equations by the Laguerre method
journal, March 1992


QCD evolution equations: Numerical algorithms from the Laguerre expansion
journal, May 1999


The ABM parton distributions tuned to LHC data
journal, March 2014


Constraints on large- x parton distributions from new weak boson production and deep-inelastic scattering data
journal, June 2016


Uncertainties of predictions from parton distributions II: theoretical errors
journal, June 2004

  • Martin, A. D.; Roberts, R. G.; Stirling, W. J.
  • The European Physical Journal C, Vol. 35, Issue 3
  • DOI: 10.1140/epjc/s2004-01825-2

Nuclear effects and higher twists in F3 structure function
journal, November 2000

  • Kulagin, S. A.; Sidorov, A. V.
  • The European Physical Journal A, Vol. 9, Issue 2
  • DOI: 10.1007/s100500070043

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


Parton distributions: a new global analysis
journal, July 1998

  • Martin, A. D.; Roberts, R. G.; Stirling, W. J.
  • The European Physical Journal C, Vol. 4, Issue 3
  • DOI: 10.1007/s100529800904

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

  • Conway, J. S.; Adolphsen, C. E.; Alexander, J. P.
  • Physical Review D, Vol. 39, Issue 1
  • DOI: 10.1103/PhysRevD.39.92

A detailed study of the proton structure functions in deep inelastic muon-proton scattering
journal, September 1985