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).
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Nocera, E.R., et al.: [NNPDF collaboration]. Nucl. Phys. B 887, 276 (2014)
Nocera, E.R.: Phys. Lett. B 742, 117 (2015)
Jimenez-delgado, P., et al.: [Jefferson lab angular momentum (JAM) collaboration]. Phys. Lett. B 738, 263 (2014)
Jimenez-Delgado, P., Accardi, A., Melnitchouk, W.: Phys. Rev. D 89(3), 034025 (2014)
Arbabifar, F., Khorramian, A.N., Soleymaninia, M.: Phys. Rev. D 89(3), 034006 (2014)
Taheri Monfared, S., Haddadi, Z., Khorramian, A.N.: Phys. Rev. D 89 (7), 074052 (2014). [Phys.Rev.D 89, no. 11, 119901 (2014)]
Salajegheh, M., Mohammad Moosavi Nejad, S., Khanpour, H., Atashbar Tehrani, S.: Phys. Rev. C 97(97), 055201 (2018)
Khanpour, H., Taheri Monfared, S., Atashbar Tehrani, S.: Phys. Rev. D 96(7), 074037 (2017)
Borah, N.N.K., Choudhury, D.K.: Adv. High Energy Phys. 2014, 379823 (2014)
Khorramian, A.N., Atashbar Tehrani, S., Taheri Monfared, S., Arbabifar, F., Olness, F.I.: Phys. Rev. D 83, 054017 (2011)
Blumlein, J., Bottcher, H.: Nucl. Phys. B 841, 205 (2010)
Leader, E., Sidorov, A.V., Stamenov, D.B.: Phys. Rev. D 91(5), 054017 (2015)
Aschenauer, E.C., Sassot, R., Stratmann, M.: Phys. Rev. D 92(9), 094030 (2015)
Steffens, F.M., Thomas, A.W.: Prog. Theor. Phys. Suppl. 120, 145–156 (1995)
Cao, F.-G.: A.I. Signal. Eur. Phys. J. C 21, 105–114 (2001)
Ganesamurthy, K., Sambasivam, R.: Nuclear Physics A. 856, 112–120 (2011)
Moch, S., Vermaseren, J.A.M., Vogt, A.: Nucl. Phys. B 889, 351 (2014)
Hwa, R.C.: Phys. Rev. D 22, 759 (1980)
Hwa, R.C.: Phys. Rev. D 51, 85 (1995)
Hwa, R.C., Yang, C.B.: Phys. Rev. C 66, 025205 (2002)
Arash, F.: Phys. Lett. B 557, 38 (2003)
Arash, F., Khorramian, A.N.: Phys. Rev. C 67, 045201 (2003). [hep-ph/0303031]
Arash, F., Taghavi Shahri, F.: JHEP 07 (2007) 071. Erratum-ibid. 1008, 106 (2010)
Arash, F., Taghavi-Shahri, F.: Phys. Lett. B 668, 193 (2008)
Taghavi Shahri, F., Arash, F.: Phys. Rev. C 82, 035205 (2010)
Alizadeh Yazdi, Z., Taghavi-Shahri, F., Arash, F., Zomorrodian, M.E.: Phys. Rev. C 89, 055201 (2014)
Gribov, V.N., Lipatov, L.N.: Sov. J. Nucl. Phys. 15, 438 (1972)
Altarelli, G., Parisi, G.: Nucl. Phys. B 126, 298 (1977)
Dokshitzer, Y.L.: Sov. Phys. JETP 46, 641 (1977)
Barone, V., Bradamantec, F., Martin, A.: Prog. Part. Nucl. Phys. 65, 267–333 (2010)
Cafarella, A., Coriano, C., Guzzi, M.: Nucl. Phys. B 748, 253–308 (2006)
Vogt, A.: Comput. Phys. Commun. 170, 65–92 (2005)
Khanpour, H., Taheri Monfared, S., Atashbar Tehrani, S.: Phys. Rev. D 95(7), 074006 (2017)
Lampe, B., Reya, E.: Phys. Rept. 332, 1–163 (2000) [hep-ph/9810270]
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)]
Airapetian, A., et al.: [HERMES collaboration]. Phys. Rev. D 75, 012007 (2007)
Alekseev, M.G., et al.: [COMPASS Collaboration]. Phys. Lett. B 690, 466 (2010)
Taghavi-Shahri, F., Khanpour, H., Atashbar Tehrani, S., Alizadeh Yazdi, Z.: Phy. Rev. D 93, 114024 (2016)
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]]
Khorramian, A.N., Atashbar Tehrani, S.: Phys. Rev. D 78, 074019 (2008)
Atashbar Tehrani, S., Khorramian, A.N.: J. High Energy Phys. 07, 048 (2007)
Airapetian, A., et al.: [HERMES collaboration]. Phys. Rev. Lett. 92, 012005 (2004)
Airapetian, A., et al.: [HERMES collaboration]. Phys. Rev. D 71, 012003 (2005)
Alexakhin, V.Y.U., et al.: [COMPASS collaboration], arXiv:0707.4977
Adeva, A., et al.: [SMC Collaboration]. Phys. Lett. B 369, 93 (1996)
Alekseev, M.G., et al.: [COMPASS collaboration]. Phys. Lett. B 660, 458 (2008)
Alexakhin, V.Y.V., et al.: ibid 647, 8 (2007)
Alekseev, M.G., et al.: [COMPASS collaboration]. Phys. Lett. B 680, 217 (2009)
Ackerstaff, K., et al.: [HERMES collaboration]. Phys. Lett. B 404, 383 (1997)
Adeva, B., et al.: [SMC collaboration]. Phys. Rev. D 58, 112001 (1998)
Adeva, B., et al.: [SMC collaboration]. Phys. Rev. D 60, 072004 (1999)
Nath, N.M., Sarma, J.K.: Int. J. Theor. Phys. 56(5), 1456 (2017)
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.
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Taghavi-Shahri, F., Yazdi, Z.A. & Tehrani, S.A. Next-to-Next-to-Leading Order Calculation of Valence Quark Polarization in the Valon Model. Int J Theor Phys 58, 157–166 (2019). https://doi.org/10.1007/s10773-018-3920-2
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DOI: https://doi.org/10.1007/s10773-018-3920-2