Authors

Abstract

In this work, we calculate DGLAP evolution equation at LO and NLO by Laplace method for fragmentation function of gluon to meson or baryon. To prove the validity of this method, we evolve the fragmentation functions of  andby using this method. In this method, it is not necessary to calculate these functions in Laplace space. This method is just used for simplifing the equations

Keywords

1. Y L Dokshitzer, Sov. Phys- JETP, 46 (1977) 641.
2. V N Gribov and L N Lipatov, Sov. J. Nucl. Phys., 15 (1972) 438.
3. G Altarelli and G Parisi, Nucl. Phys. B 126 (1977) 298.
4. A Cafarella, C Coriano, and M Guzzi, Nucl. Phys. B 748 (1), (2006) 253.
5. A V Kotikov and L N Lipatov, Nucl. Phys. B 661(1) (2003) 19.
6. R Baishya and J K Sarma, Phys. Rev. D 74(10) (2006) 107702.
7. M M Block, L Durand, P Ha, and D W McKay, Eur. Phys. J. C 69 (2010) 425.
8. M M Block, L Durand, P Ha, and D W McKay, Phys. Rev. D 84 (2011) 094010.
9. M M Block, L Durand, P Ha, and D W McKay, Phys. Rev. D 83 (2011) 054009.
10. M M Block, Eur. Phys. J. C 65 (2010) 1.
11. M M Block, Eur. Phys. J. C 68 (2010) 683.
12. M M Block, L Durand, P Ha, and D W McKay, arXiv: 1004.1440 (2010).
13. H Khanpour, A Mirjalili, and S Atashbar Tehrani, arXiv preprint arXiv:1601.03508 (2016).
14. S A Tehrani, F Taghavi-Shahri, A Mirjalili, and M M Yazdanpanah, Phys. Rev. D 87(11) (2013) 114012.
15. G R. Boroun, S Zarrin, Eur. Phys. J. Plus, 128, 10 (2013) 1.
16. G R Boroun, S Zarrin, and S Dadfar, Nucl. Phys. A 953 (2016) 21.
17. E Braaten, and T C Yuan, Phys. Rev. Lett., 71(11) (1993)1673.
18. J H Kuhn, H Schneider, Phys. Rev. D 24, 2996 (1981), Z. Phys. C 11, 263 (1981).
19. G Curci, W Furmanski, and R Petronzio, Nucl. Phys. B 175 (1980) 27.
20. E G Floratos, C Kounnas and R Lacaze, Nucl. Phys. B 192 (1981) 417.

تحت نظارت وف ایرانی