One-loop QCD contribution to the potential of QQ

  • Without the non-relativistic approximation in one-loop function, the dominating one-loop contribution to the quark-antiquark potential is studied numerically in terms of perturbative Quantum Chromo Dynamics (QCD). For Coulomb-like potential, the ratio of the one-loop correction to the tree diagram contribution is presented, whose absolute value is about 20%. Our result is consistent with the analysis that the one-loop contribution should be suppressed by a factor αs/π to the leading order contribution. This work can deepen the comprehension of αs in Cornel potential.
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  • [1] Eichten E, Gottfried K. Phys. Lett. B, 1977, 66: 2862 Celmaster W, Georgi H, Machacek M. Phys. Rev. D, 1978, 17: 8793 Gupta S N, Radford S F. Phys. Rev. D, 1981, 24: 2309-23234 Titard S, Yndurain F J. Phys. Rev. D, 1994, 49: 6007-6025; Phys. Rev. D, 1995, 51: 6348-6363; Pineda A, Yn-durain F J. Phys. Rev. D, 1998, 58: 094022; Phys. Rev. D, 2000, 61: 077505.75 Radford S F, Repko W W. Phys. Rev. D, 2007, 75: 074031; Radford S F, Repko W W, Saelim M J. Phys. Rev. D, 2009, 80: 0340126 Ebert D, Faustov R N, Galkin V O. Talk given at the Vth International Workshop \Heavy Quark Physics". Dubna, Russia, 6-8 April 2000, hep-ph/00061867 Takahashi T T, Suganuma H, Nemoto Y et al. Phys. Rev. D, 2002, 65: 1145098 Compean C B, Kirchbach M. Eur. Phys. J. A, 2007, 33: 19 Takahashi T T, Matsufuru H, Nemoto Y et al. Phys. Rev. Lett., 2001, 86: 18-2110 Takahashi T T, Matsufuru H, Nemoto Y et al. Phys. Rev. Lett., 2001, 86: 1811 Matsufuru H, Nemoto Y, Suganuma H et al. Nucl. Phys. B, 2001, 94: 55412 Bali G S, Schlichter C, Schilling K. Phys. Rev. D, 1995, 51: 516513 Hooft G, Veltman M. Nucl. Phys. B, 1979, 153: 365-401; Denner A, Nierste U, Scharf R. Nucl. Phys. B, 1991, 367: 637-65614 Hahn T, VictoriaMP. Comput. Phys. Commun, 1999, 118: 15315 Denner A, Dittmaier S. Nucl. Phys. B, 2003, 658: 175-202 Denner A. Nucl. Phys. B, 1998, 519: 39-8416 LI Gang, LI Tong, LI Xue-Qian et al. Nucl. Phys. B, 2005, 727: 30117 Eidelman S et al. Partical Data Group, Phys. Lett. B, 2004, 592: 1; YAO Wei-Ming et al. PARTICLE PHYSICS BOOKLIET, 2006, 2418 Fritzsch H, ZHOU Yu-Feng. Phys. Rev. D, 2003, 68: 034015
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LIU Li-Quan, ZHAO Shu-Min, ZHANG Jian-Jun, YANG Bao-Zhu and HUANG De-Bao. One-loop QCD contribution to the potential of QQ[J]. Chinese Physics C, 2011, 35(2): 126-129. doi: 10.1088/1674-1137/35/2/003
LIU Li-Quan, ZHAO Shu-Min, ZHANG Jian-Jun, YANG Bao-Zhu and HUANG De-Bao. One-loop QCD contribution to the potential of QQ[J]. Chinese Physics C, 2011, 35(2): 126-129.  doi: 10.1088/1674-1137/35/2/003 shu
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Received: 2010-04-12
Revised: 2010-08-23
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One-loop QCD contribution to the potential of QQ

Abstract: Without the non-relativistic approximation in one-loop function, the dominating one-loop contribution to the quark-antiquark potential is studied numerically in terms of perturbative Quantum Chromo Dynamics (QCD). For Coulomb-like potential, the ratio of the one-loop correction to the tree diagram contribution is presented, whose absolute value is about 20%. Our result is consistent with the analysis that the one-loop contribution should be suppressed by a factor αs/π to the leading order contribution. This work can deepen the comprehension of αs in Cornel potential.

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