One-loop QCD contribution to the potential of QQ

LIU Li-Quan; ZHAO Shu-Min; ZHANG Jian-Jun; YANG Bao-Zhu; HUANG De-Bao

doi:10.1088/1674-1137/35/2/003

Chinese Physics C> 2011, Vol. 35> Issue(2) : 126-129 DOI: 10.1088/1674-1137/35/2/003

One-loop QCD contribution to the potential of QQ

Abstract
HTML
Reference
Related

PDF

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 α_s/π to the leading order contribution. This work can deepen the comprehension of α_s in Cornel potential.

References

[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

[1]	Jiaqi Chen , Chichuan Ma , Li Lin Yang . Alphabet of one-loop Feynman integrals. Chinese Physics C, 2022, 46(9): 093104. doi: 10.1088/1674-1137/ac6e37
[2]	M. Imran Jamil , Bilal Masud , Faisal Akram , S. M. Sohail Gilani . D⁰D^0* (D⁰D^0*) system in QCD-improved many body potential. Chinese Physics C, 2017, 41(1): 013103. doi: 10.1088/1674-1137/41/1/013103
[3]	TIAN Wei-Zhao , CAO Lu , YANG You-Chang , CHEN Hong . Bottomonium states versus recent experimental observations in the QCD-inspired potential model. Chinese Physics C, 2013, 37(8): 083101. doi: 10.1088/1674-1137/37/8/083101
[4]	ZHAO Shu-Min , FENG Tai-Fu , WANG Fang , GAO Tie-Jun , ZHANG Yin-Jie . One-loop on-shell renormalization of MSSM vertexes. Chinese Physics C, 2013, 37(5): 053101. doi: 10.1088/1674-1137/37/5/053101
[5]	SUN Yi , ZHANG Hao-Ran . One loop integrals reduction. Chinese Physics C, 2012, 36(11): 1055-1064. doi: 10.1088/1674-1137/36/11/004
[6]	YUAN Xu-Hao , KE Hong-Wei , DING Yi-Bing , LI Xue-Qian . Re-study of the contribution of scalar potential and spectra of cc, bb and bc(bc) families. Chinese Physics C, 2012, 36(2): 117-126. doi: 10.1088/1674-1137/36/2/003
[7]	YANG Xiu-Yi , FENG Tai-Fu . Two loop electroweak corrections from heavy fermions to b→s+γ. Chinese Physics C, 2010, 34(12): 1797-1811. doi: 10.1088/1674-1137/34/12/004
[8]	SU Nan , Jens O , Michael Strickland . Hard-thermal-loop QED thermodynamics. Chinese Physics C, 2010, 34(9): 1527-1529. doi: 10.1088/1674-1137/34/9/091
[9]	JIANG Yu , LI Ning , SUN Wei-Min , ZONG Hong-Shi . Calculation of equation of state of QCD at zero temperature and finite chemical potential. Chinese Physics C, 2010, 34(9): 1324-1327. doi: 10.1088/1674-1137/34/9/033
[10]	LIU Xiang . Derivation of a 1/r² potential term for QQ in a potential model. Chinese Physics C, 2010, 34(9): 1482-1484. doi: 10.1088/1674-1137/34/9/078
[11]	ZHANG Wei-Ning , . Stable solutions for qq bound states with a regularized Breit potential. Chinese Physics C, 2009, 33(8): 648-654. doi: 10.1088/1674-1137/33/8/010
[12]	MEI Hua , CHEN Hong . Heavy Mesons in the QCD Potential Model with Dilaton. Chinese Physics C, 2004, 28(8): 838-841.
[13]	WAN Ling-De , LU Gong-Ru , GAO Guang-Ping . gb→tH^－ One Loop SUSY-QCD Corrections and Nondecoupling Effects. Chinese Physics C, 2003, 27(3): 189-195.
[14]	WANG Gang , LI Xian-Hui , ZHOU Zhi-Ning , YANG Ze-Sen . qq³P₀ Condensation Under an Modified r² Potential. Chinese Physics C, 2002, 26(3): 259-265.
[15]	Wu Jimin . Understanding the Meson States and Non-qq States. Chinese Physics C, 1999, 23(2): 135-141.
[16]	Chen Xiangjun , Zhang Weining , Huo Lei . Two-Loop Correction of Thermodynamic Potential of QCD at Finite Temperature. Chinese Physics C, 1999, 23(11): 1083-1089.
[17]	Zheng Taiyu , Li Changsong . Massive Fermion Loop Contribution to Casimir Force in Two-Dimensional Case. Chinese Physics C, 1996, 20(S1): 55-59.
[18]	Hou Defu , Li Jiarong . Finite-Temperature Thermodynamic Potential of Two-loop QED and the Overlapping Divergences in Arbitrary Gauge. Chinese Physics C, 1995, 19(S4): 397-404.
[19]	Deng Shenghua , Wang Enke , Li Jiarong . Two-Loop Effective Potential of the Non-topological Soliton Model at Finite Temperature. Chinese Physics C, 1995, 19(S3): 289-304.
[20]	ZHENG Tai-Yu . INTERNAL FERMION ONE-LOOP CONTRIBUTION TO THE CASIMIR FORCE. Chinese Physics C, 1990, 14(9): 796-801.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2010-04-12
Revised: 2010-08-23

Article Metric

Article Views(2564)
PDF Downloads(527)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

One-loop QCD contribution to the potential of QQ

Received Date: 2010-04-12

Accepted Date: 2010-08-23

Available Online: 2011-02-05

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 α_s/π to the leading order contribution. This work can deepen the comprehension of α_s in Cornel potential.

HTML

Reference (1)

One-loop QCD contribution to the potential of QQ

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

One-loop QCD contribution to the potential of QQ

HTML

目录