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Bjorken-x Dependence of Hadronic Structure from Lattice QCD

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Abstract

I present a first direct lattice-QCD calculation of the Bjorken-x dependence of hadron structure functions. By taking a hadron with a large momentum boost, we are able to connect light-cone quantities to lattice-QCD nonlocal but time-independent matrix elements. Since the largest attainable momentum is limited, we correct for the sizable leading momentum dependence systematically. In this talk, I present an exploratory study of the nucleon quark density, helicity and transversity distributions.

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References

  1. Ackerstaff, K., et al.: The Flavor asymmetry of the light quark sea from semiinclusive deep inelastic scattering. Phys. Rev. Lett. 81, 5519–5523 (1998). doi:10.1103/PhysRevLett.81.5519, hep-ex/9807013

  2. Adams M. et al.: Extraction of the ratio \({{F_{2}^{n}} / {F_{2}^{p}}}\) from muon–deuteron and muon–proton scattering at small x and Q 2. Phys. Rev. Lett. 75, 1466–1470 (1995). doi:10.1103/PhysRevLett.75.1466

    Article  ADS  MATH  Google Scholar 

  3. Aglietti, U., Ciuchini, M., Corbo, G., Franco, E., Martinelli, G., et al.: Model independent determination of the shape function for inclusive B decays and of the structure functions in DIS. Phys. Lett. B432, 411–420 (1998). doi:10.1016/S0370-2693(98)00677-7, hep-ph/9804416

  4. Alexandrou, C., Constantinou, M., Drach, V., Hatziyiannakou, K., Jansen, K., et al.: Nucleon structure using lattice QCD. Nuovo Cim. C036(05), 111–120 (2013). doi:10.1393/ncc/i2013-11560-0, 1303.6818

  5. Anselmino, M., Boglione, M., D’Alesio, U., Kotzinian, A., Murgia, F., et al.: Update on transversity and Collins functions from SIDIS and e + e − data. Nucl. Phys. Proc. Suppl. 191, 98–107 (2009). doi:10.1016/j.nuclphysbps.2009.03.117, 0812.4366

  6. Arneodo M. et al.: A reevaluation of the gottfried sum. Phys. Rev. D 50, 1–3 (1994). doi:10.1103/PhysRevD.50.1

    Article  ADS  Google Scholar 

  7. Aschenauer, E., Bazilevsky, A., Boyle, K., Eyser, K., Fatemi, R., et al.: The RHIC Spin Program: Achievements and Future Opportunities (2013). 1304.0079

  8. Bazavov, A., et al.: Lattice QCD ensembles with four flavors of highly improved staggered quarks. Phys. Rev. D87(5), 054,505 (2013). doi:10.1103/PhysRevD.87.054505, 1212.4768

  9. Bhattacharya, T., Cohen, S.D., Gupta, R., Joseph, A., Lin, H.W., et al.: Nucleon charges and electromagnetic form factors from 2+1+1-Flavor lattice QCD. Phys. Rev. D89, 094,502 (2014). doi:10.1103/PhysRevD.89.094502, 1306.5435

  10. Detmold, W., Lin, C.D.: Deep-inelastic scattering and the operator product expansion in lattice QCD. Phys. Rev. D73, 014,501 (2006). doi:10.1103/PhysRevD.73.014501, hep-lat/0507007

  11. Edwards, R.G., Joo, B.: The Chroma software system for lattice QCD. Nucl. Phys. Proc. Suppl. 140, 832 (2005). doi:10.1016/j.nuclphysbps.2004.11.254, hep-lat/0409003

  12. de Florian, D., Sassot, R., Stratmann, M., Vogelsang, W.: Extraction of spin-dependent parton densities and their uncertainties. Phys. Rev. D80, 034,030 (2009). doi:10.1103/PhysRevD.80.034030, 0904.3821

  13. Hasenfratz, A., Knechtli, F.: Flavor symmetry and the static potential with hypercubic blocking. Phys. Rev. D64, 034,504 (2001). doi:10.1103/PhysRevD.64.034504, hep-lat/0103029

  14. Ji, X.: Parton physics on a Euclidean lattice. Phys. Rev. Lett 110, 262,002 (2013). doi:10.1103/PhysRevLett.110.262002, 1305.1539

  15. Jimenez-Delgado, P., Melnitchouk, W., Owens, J.: Parton momentum and helicity distributions in the nucleon. J. Phys. G40, 093,102 (2013). doi:10.1088/0954-3899/40/9/093102, 1306.6515

  16. Jimenez-Delgado, P., Accardi, A., Melnitchouk, W.: Impact of hadronic and nuclear corrections on global analysis of spin-dependent parton distributions. Phys. Rev. D89, 034,025 (2014). doi:10.1103/PhysRevD.89.034025, 1310.3734

  17. Lin, H.W.: A review of nucleon spin calculations in lattice QCD. AIP Conf. Proc. 1149, 552–557 (2009). doi:10.1063/1.3215709, 0903.4080

  18. Lin, H.W.: Lattice hadron structure: applications within and beyond QCD. PoS Lattice 013 (2012). 1212.6849

  19. Lin, H.W., Orginos, K.: First calculation of hyperon axial couplings from lattice QCD. Phys. Rev. D79, 034,507 (2009). doi:10.1103/PhysRevD.79.034507, 0712.1214

  20. Lin, H.W., Chen, J.W., Cohen, S.D., Ji, X.: Flavor structure of the nucleon sea from lattice QCD (2014). 1402.1462

  21. Liu, K.F.: Parton degrees of freedom from the path integral formalism. Phys. Rev. D62, 074,501 (2000). doi:10.1103/PhysRevD.62.074501, hep-ph/9910306

  22. Martin, A., Stirling, W., Thorne, R., Watt, G.: Parton distributions for the LHC. Eur. Phys. J. C63, 189–285 (2009). doi:10.1140/epjc/s10052-009-1072-5, 0901.0002

  23. Owens, J., Accardi, A., Melnitchouk, W.: Global parton distributions with nuclear and finite-Q 2 corrections. Phys. Rev. D87(9), 094,012 (2013). doi:10.1103/PhysRevD.87.094012, 1212.1702

  24. Radici, M., Bacchetta, A., Courtoy, A.: Detecting correlated di-hadron pairs: about the extraction of transversity and beyond. Int. J. Mod. Phys. Conf. Ser. 25, 1460,045 (2014). doi:10.1142/S2010194514600453, 1308.5928

  25. Schweitzer, P., Urbano, D., Polyakov, M.V., Weiss, C., Pobylitsa, P., et al.: Transversity distributions in the nucleon in the large N c limit. Phys. Rev. D64, 034,013 (2001). doi:10.1103/PhysRevD.64.034013, hep-ph/0101300

  26. Towell, R., et al.: Improved measurement of the anti-d / anti-u asymmetry in the nucleon sea. Phys. Rev. D64, 052,002, (2001). doi:10.1103/PhysRevD.64.052002, hep-ex/0103030

  27. Xiong, X., Ji, X., Zhang, J.H., Zhao, Y.: One-loop matching for parton distributions: non-singlet case. Phys. Rev. D90, 014,051 (2014). doi:10.1103/PhysRevD.90.014051, 1310.7471

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  1. Department of Physics, University of Washington, Seattle, WA, 98195-1560, USA

    Huey-Wen Lin

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Lin, HW. Bjorken-x Dependence of Hadronic Structure from Lattice QCD. Few-Body Syst 56, 455–460 (2015). https://doi.org/10.1007/s00601-015-0948-1

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