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Soft gluon emission off a heavy quark revisited
Phys. Rev. D 85, 054012 – Published 16 March, 2012
DOI: https://doi.org/10.1103/PhysRevD.85.054012
Abstract
An improved generalized suppression factor for gluon emission off a heavy quark is derived within perturbative QCD, which is valid for the full range of rapidity of the radiated gluon and also has no restriction on the scaled mass of the quark with its energy. In the appropriate limit, it correctly reproduces the usual dead cone factor in the forward rapidity region. On the other hand, this improved suppression factor becomes close to unity in the backward direction. This indicates a small suppression of gluon emission in the backward region, which should have an impact on the phenomenology of heavy quark energy loss in the hot and dense matter produced in ultrarelativistic heavy ion collisions.
Article Text
References (36)
- U. Heinz and M. Jacob, arXiv:nucl-th/0002042.
- I. Arsene et al. (BRAHMS Collaboration), Nucl. Phys. A757, 1 (2005); K. Adcox et al. (PHENIX Collaboration), ibid. A757, 184 (2005); B. B. Back et al. (PHOBOS Collaboration), ibid. A757, 28 (2005); J. Adams et al. (STAR Collaboration), ibid. A757, 102 (2005).
- A. Adare et al. (PHENIX Collaboration), Phys. Rev. C 81, 034911 (2010).
- S. S. Adler et al. (PHENIX Collaboration), Phys. Rev. Lett. 98, 012002 (2007).
- A. Adare et al. (PHENIX Collaboration), Phys. Rev. Lett. 98, 162301 (2007).
- K. Adcox et al. (PHENIX Collaboration), Phys. Rev. Lett. 88, 022301 (2001); C. Adler et al. (STAR Collaboration), 89, 092302 (2002).
- S. S. Adler et al. (PHENIX Collaboration), Phys. Rev. Lett. 91, 172301 (2003); T. Chujo (PHENIX Collaboration), Nucl. Phys. A715, 151c (2003).
- S. S. Adler et al. (PHENIX Collaboration), Phys. Rev. Lett. 98, 172301 (2007); B. I. Abelev et al. (STAR Collaboration), 98, 192301 (2007).
- K. Aamdot et al. (ALICE Collaboration), Phys. Rev. Lett. 105, 252301 (2010); 105, 252302 (2010); Phys. Lett. B696, 30 (2011).
- J. F. Gunion and G. Bertsch, Phys. Rev. D25, 746 (1982).
- O. Fochler, Z. Xu, and C. Greiner, Phys. Rev. C 82, 024907 (2010).
- M. G. Mustafa, D. Pal, D. K. Srivastava, and M. H. Thoma, Phys. Lett. B 428, 234 (1998).
- Y. L. Dokshitzer and D. E. Kharzeev, Phys. Lett. B 519, 199 (2001).
- Y. L. Dokshitzer, V. A. Khoze, and S. I. Troian, J. Phys. G 17, 1602 (1991).
- R. Thomas, B. Kämpfer, and G. Soff, Acta Phys. Hung. A 22, 83 (2005); W. C. Xiang, H. T. Ding, and D. C. Zhou, Chin. Phys. Lett. 22, 72 (2005); A. Perieanu, University of Hamburg Report No. DESY-THESIS-2006-002, 2006; X. M. Zhang, D. C. Zhou, and W. C. Xiang, Int. J. Mod. Phys. E 16, 2123 (2007).
- S. Das, J. Alam, and P. Mohanty, Phys. Rev. C 82, 014908 (2010); S. Mazumder, T. Bhattacharyya, J. Alam, and S. Das, 84, 044901 (2011).
- B. Z. Kopeliovich, I. K. Potashnikova, and I. Schmidt, Phys. Rev. C 82, 037901 (2010).
- O. Fochler, Z. Xu, and C. Greiner, Phys. Rev. Lett. 102, 202301 (2009).
- S. M. H. Wong, Nucl. Phys. A607, 442 (1996).
- R. Abir, C. Greiner, M. Martinez, and M. G. Mustafa, Phys. Rev. D 83, 011501(R) (2011).
- S. K. Das and J. Alam, Phys. Rev. D 82, 051502(R) (2010); T. Bhattacharyya, S. Mazumder, S. Das, and J. Alam, 85, 034033 (2012).
- G.-Y. Qin et al., Phys. Rev. Lett. 100, 072301 (2008); M. G. Mustafa and M. H. Thoma, Acta Phys. Hung. A 22, 93 (2005); M. G. Mustafa, Phys. Rev. C 72, 014905 (2005); P. Chakraborty, M. G. Mustafa, and M. H. Thoma, 75, 064980 (2007); M. G. Mustafa, D. Pal, and D. K. Srivastava, 57, 889 (1998).
- P. B. Gossiaux, J. Aichelin, T. Gousset, and V. Guiho, J. Phys. G 37, 094019 (2010).
- S. Wicks, W. Horowitz, M. Djordjevic, and M. Gyulassy, Nucl. Phys. A783, 493 (2007); M. Djordjevic and M. Gyulassy, A733, 265 (2004).
- W. A. Horowitz, Ph.D. thesis, Columbia University [arXiv:1011.4316] and references therein.
- A. Majumder and M. Van Leeuwen, Prog. Part. Nucl. Phys. 66, 41 (2011); G. Y. Qin and A. Majumder, Phys. Rev. Lett. 105, 262301 (2010).
- J. Auvinen, K. Eskola, H. Holopainen, and T. Renk, Phys. Rev. C 82, 051901 (2010); J. Auvinen, K. Eskola, and T. Renk, 82, 024906 (2010).
- U. Jamil and D. K. Srivastava, J. Phys. G 37, 085106 (2010).
- N. Armesto, C. A. Salgado, and U. A. Weidemann, Phys. Rev. D 69, 114003 (2004).
- J. Uphoff, O. Fochler, Z. Xu, and C. Greiner, Nucl. Phys. A855, 444 (2011).
- J. Uphoff, O. Fochler, Z. Xu, and C. Greiner, Phys. Rev. C 84, 024908 (2011).
- B.-W. Zhang, E. Wang, and X.-N. Wang, Phys. Rev. Lett. 93, 072301 (2004); B.-W. Zhang, E.-K. Wang, and X.-N. Wang, Nucl. Phys. A757, 493 (2005).
- F. A. Berends et al., Phys. Lett. 103B, 124 (1981).
- A. Semenov, Comput. Phys. Commun. 180, 431 (2009).
- Z. Kunszt, E. Pietarinen, and E. Reya, Phys. Rev. D 21, 733 (1980).
- S. Chatrchyan et al. (CMS Collaboration), Phys. Rev. C 84, 024906 (2011).