Advertisement

International Journal of Theoretical Physics

, Volume 58, Issue 1, pp 157–166 | Cite as

Next-to-Next-to-Leading Order Calculation of Valence Quark Polarization in the Valon Model

  • F. Taghavi-ShahriEmail author
  • Z. Alizadeh Yazdi
  • S. Atashbar Tehrani
Article
  • 14 Downloads

Abstract

We used the “valon model” to study the valence quarks polarization inside nucleon at Next-to-Next-to-leading order (NNLO) approximation. The results show a good agreement with available experimental data and also with those from global analysis presented in Taghavi-Shahri et al. (Phy. Rev. D 93, 114024, 2016).

Keywords

Valon model PPDFs Valence quarks polarization NNLO approximation 

Notes

Acknowledgments

The authors would like to thank F.Arash for carefully reading the manuscript, fruitful discussion, and critical remarks. This work is supported by Ferdowsi University of Mashhad under Grant No. 2/43305, 1396/02/26.

References

  1. 1.
    Nocera, E.R., et al.: [NNPDF collaboration]. Nucl. Phys. B 887, 276 (2014)ADSCrossRefGoogle Scholar
  2. 2.
    Nocera, E.R.: Phys. Lett. B 742, 117 (2015)ADSCrossRefGoogle Scholar
  3. 3.
    Jimenez-delgado, P., et al.: [Jefferson lab angular momentum (JAM) collaboration]. Phys. Lett. B 738, 263 (2014)ADSCrossRefGoogle Scholar
  4. 4.
    Jimenez-Delgado, P., Accardi, A., Melnitchouk, W.: Phys. Rev. D 89(3), 034025 (2014)ADSCrossRefGoogle Scholar
  5. 5.
    Arbabifar, F., Khorramian, A.N., Soleymaninia, M.: Phys. Rev. D 89(3), 034006 (2014)ADSCrossRefGoogle Scholar
  6. 6.
    Taheri Monfared, S., Haddadi, Z., Khorramian, A.N.: Phys. Rev. D 89 (7), 074052 (2014). [Phys.Rev.D 89, no. 11, 119901 (2014)]ADSCrossRefGoogle Scholar
  7. 7.
    Salajegheh, M., Mohammad Moosavi Nejad, S., Khanpour, H., Atashbar Tehrani, S.: Phys. Rev. C 97(97), 055201 (2018)ADSCrossRefGoogle Scholar
  8. 8.
    Khanpour, H., Taheri Monfared, S., Atashbar Tehrani, S.: Phys. Rev. D 96(7), 074037 (2017)ADSCrossRefGoogle Scholar
  9. 9.
    Borah, N.N.K., Choudhury, D.K.: Adv. High Energy Phys. 2014, 379823 (2014)CrossRefGoogle Scholar
  10. 10.
    Khorramian, A.N., Atashbar Tehrani, S., Taheri Monfared, S., Arbabifar, F., Olness, F.I.: Phys. Rev. D 83, 054017 (2011)ADSCrossRefGoogle Scholar
  11. 11.
    Blumlein, J., Bottcher, H.: Nucl. Phys. B 841, 205 (2010)ADSCrossRefGoogle Scholar
  12. 12.
    Leader, E., Sidorov, A.V., Stamenov, D.B.: Phys. Rev. D 91(5), 054017 (2015)ADSCrossRefGoogle Scholar
  13. 13.
    Aschenauer, E.C., Sassot, R., Stratmann, M.: Phys. Rev. D 92(9), 094030 (2015)ADSCrossRefGoogle Scholar
  14. 14.
    Steffens, F.M., Thomas, A.W.: Prog. Theor. Phys. Suppl. 120, 145–156 (1995)ADSCrossRefGoogle Scholar
  15. 15.
    Cao, F.-G.: A.I. Signal. Eur. Phys. J. C 21, 105–114 (2001)ADSCrossRefGoogle Scholar
  16. 16.
    Ganesamurthy, K., Sambasivam, R.: Nuclear Physics A. 856, 112–120 (2011)ADSCrossRefGoogle Scholar
  17. 17.
    Moch, S., Vermaseren, J.A.M., Vogt, A.: Nucl. Phys. B 889, 351 (2014)ADSCrossRefGoogle Scholar
  18. 18.
    Hwa, R.C.: Phys. Rev. D 22, 759 (1980)ADSCrossRefGoogle Scholar
  19. 19.
    Hwa, R.C.: Phys. Rev. D 51, 85 (1995)ADSCrossRefGoogle Scholar
  20. 20.
    Hwa, R.C., Yang, C.B.: Phys. Rev. C 66, 025205 (2002)ADSCrossRefGoogle Scholar
  21. 21.
    Arash, F.: Phys. Lett. B 557, 38 (2003)ADSCrossRefGoogle Scholar
  22. 22.
    Arash, F., Khorramian, A.N.: Phys. Rev. C 67, 045201 (2003). [hep-ph/0303031]ADSCrossRefGoogle Scholar
  23. 23.
    Arash, F., Taghavi Shahri, F.: JHEP 07 (2007) 071. Erratum-ibid. 1008, 106 (2010)Google Scholar
  24. 24.
    Arash, F., Taghavi-Shahri, F.: Phys. Lett. B 668, 193 (2008)ADSCrossRefGoogle Scholar
  25. 25.
    Taghavi Shahri, F., Arash, F.: Phys. Rev. C 82, 035205 (2010)ADSCrossRefGoogle Scholar
  26. 26.
    Alizadeh Yazdi, Z., Taghavi-Shahri, F., Arash, F., Zomorrodian, M.E.: Phys. Rev. C 89, 055201 (2014)ADSCrossRefGoogle Scholar
  27. 27.
    Gribov, V.N., Lipatov, L.N.: Sov. J. Nucl. Phys. 15, 438 (1972)Google Scholar
  28. 28.
    Altarelli, G., Parisi, G.: Nucl. Phys. B 126, 298 (1977)ADSCrossRefGoogle Scholar
  29. 29.
    Dokshitzer, Y.L.: Sov. Phys. JETP 46, 641 (1977)ADSGoogle Scholar
  30. 30.
    Barone, V., Bradamantec, F., Martin, A.: Prog. Part. Nucl. Phys. 65, 267–333 (2010)ADSCrossRefGoogle Scholar
  31. 31.
    Cafarella, A., Coriano, C., Guzzi, M.: Nucl. Phys. B 748, 253–308 (2006)ADSCrossRefGoogle Scholar
  32. 32.
    Vogt, A.: Comput. Phys. Commun. 170, 65–92 (2005)ADSCrossRefGoogle Scholar
  33. 33.
    Khanpour, H., Taheri Monfared, S., Atashbar Tehrani, S.: Phys. Rev. D 95(7), 074006 (2017)ADSCrossRefGoogle Scholar
  34. 34.
    Lampe, B., Reya, E.: Phys. Rept. 332, 1–163 (2000) [hep-ph/9810270]Google Scholar
  35. 35.
    Zijlstra, E.B., van Neerven, W.L.: Nucl. Phys. B 417, 61 (1994). Erratum: [Nucl.Phys.B 426, 245 (1994)] Erratum: [Nucl.Phys.B 773, 105 (2007)] Erratum: [Nucl.Phys.B 501, 599 (1997)]Google Scholar
  36. 36.
    Airapetian, A., et al.: [HERMES collaboration]. Phys. Rev. D 75, 012007 (2007)ADSCrossRefGoogle Scholar
  37. 37.
    Alekseev, M.G., et al.: [COMPASS Collaboration]. Phys. Lett. B 690, 466 (2010)ADSCrossRefGoogle Scholar
  38. 38.
    Taghavi-Shahri, F., Khanpour, H., Atashbar Tehrani, S., Alizadeh Yazdi, Z.: Phy. Rev. D 93, 114024 (2016)ADSCrossRefGoogle Scholar
  39. 39.
    Khorramian, A.N., Atashbar Tehrani, S., Taheri Monfared, S., Arbabifar, F., Olness, F.I.: Phys. Rev. D 83, 054017 (2011).  https://doi.org/10.1103/PhysRevD.83.054017. [arXiv:1011.4873 [hep-ph]]ADSCrossRefGoogle Scholar
  40. 40.
    Khorramian, A.N., Atashbar Tehrani, S.: Phys. Rev. D 78, 074019 (2008)ADSCrossRefGoogle Scholar
  41. 41.
    Atashbar Tehrani, S., Khorramian, A.N.: J. High Energy Phys. 07, 048 (2007)CrossRefGoogle Scholar
  42. 42.
    Airapetian, A., et al.: [HERMES collaboration]. Phys. Rev. Lett. 92, 012005 (2004)ADSCrossRefGoogle Scholar
  43. 43.
    Airapetian, A., et al.: [HERMES collaboration]. Phys. Rev. D 71, 012003 (2005)ADSCrossRefGoogle Scholar
  44. 44.
    Alexakhin, V.Y.U., et al.: [COMPASS collaboration], arXiv:0707.4977
  45. 45.
    Adeva, A., et al.: [SMC Collaboration]. Phys. Lett. B 369, 93 (1996)ADSCrossRefGoogle Scholar
  46. 46.
    Alekseev, M.G., et al.: [COMPASS collaboration]. Phys. Lett. B 660, 458 (2008)ADSCrossRefGoogle Scholar
  47. 47.
    Alexakhin, V.Y.V., et al.: ibid 647, 8 (2007)ADSGoogle Scholar
  48. 48.
    Alekseev, M.G., et al.: [COMPASS collaboration]. Phys. Lett. B 680, 217 (2009)ADSCrossRefGoogle Scholar
  49. 49.
    Ackerstaff, K., et al.: [HERMES collaboration]. Phys. Lett. B 404, 383 (1997)ADSCrossRefGoogle Scholar
  50. 50.
    Adeva, B., et al.: [SMC collaboration]. Phys. Rev. D 58, 112001 (1998)ADSCrossRefGoogle Scholar
  51. 51.
    Adeva, B., et al.: [SMC collaboration]. Phys. Rev. D 60, 072004 (1999)ADSCrossRefGoogle Scholar
  52. 52.
    Nath, N.M., Sarma, J.K.: Int. J. Theor. Phys. 56(5), 1456 (2017)CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • F. Taghavi-Shahri
    • 1
    Email author
  • Z. Alizadeh Yazdi
    • 1
  • S. Atashbar Tehrani
    • 2
  1. 1.Department of PhysicsFerdowsi University of MashhadMashhadIran
  2. 2.Independent ResearcherTehranIran

Personalised recommendations