Chinese Physics C > 2010, Vol. 34 > Issue(9): 1523-1526 DOI: 10.1088/1674-1137/34/9/090

Scheme-scale ambiguity in analysis of QCD observable

B. A. Kniehl

Abstract
HTML
Reference
Related

PDF

Abstract：

The scheme-scale ambiguity that has plagued perturbative analysis in QCD remains on obstacle to making precise tests of the theory. Many attempts have been done to resolve the scale ambiguity. In this regard the BLM, EC, PMS and CORGI approaches are more distinct. We try to employ these methods to fix the scale ambiguity at NLO, NNLO and even in more higher order approximations. By optimizing the renormalization scale, there will be a possibility to predicate higher order terms. We present general results for predicted terms at any order, using different optimization methods. Some observable as specific examples will be used to indicate the validity of scale fixing to predicate the higher order terms.

References

[1]

. Stevenson P M. Phys. Rev. D, 1981, 23: 29162. Maxwell C J, Mirjalili A. Nucl. Phys. B, 2000, 577: 2093. Brodsky S J, Gabadadze G T, Kataev A L, LU H J. Phys.Lett. B, 1996, 372: 1334. Grunberg G. Phys. Rev. D, 1992, 46: 22285. Keshavarzian K, Mirjalili A, Yazdanpanah M M. Int. J.Mod. Phys. A, 2008, 23: 50376. Baikov P A, Chetyrkin K G, Kuhn G H. Phys. Rev. Lett.,2008, 101: 012002; S.Menke hep-ph/0904.1796

[1]	Yan-Ling Li,Yong-Liang Ma,Mannque Rho. Nuclear axial currents from scale-chiral effective field theory. Chinese Physics C, 2018, 42(9): 094102.doi:10.1088/1674-1137/42/9/094102
[2]	Zhe Chang,Hai-Nan Lin,Zhi-Chao Zhao,Yong Zhou. Searching for a possible dipole anisotropy in acceleration scale with 147 rotationally supported galaxies. Chinese Physics C, 2018, 42(11): 115103.doi:10.1088/1674-1137/42/11/115103
[3]	null. Scale-invariance in soft gamma repeaters. Chinese Physics C, 2017, 41(6): 065104.doi:10.1088/1674-1137/41/6/065104
[4]	Guo-Liang Yu,Zhi-Gang Wang,Zhen-Yu Li. Analysis of the strong coupling form factors of∑_bNBand∑_cNDin QCD sum rules. Chinese Physics C, 2017, 41(8): 083104.doi:10.1088/1674-1137/41/8/083104
[5]	Zhi-Gang Wang. Analysis of the Y (4220) and Y (4390) as molecular states with QCD sum rules. Chinese Physics C, 2017, 41(8): 083103.doi:10.1088/1674-1137/41/8/083103
[6]	ZHANG Zhi-Qing,FU Jian-Hua. Analysis of B→a₁(1260)(b₁(1235))K^*decays in the perturbative QCD approach. Chinese Physics C, 2015, 39(3): 033102.doi:10.1088/1674-1137/39/3/033102
[7]	LI Hong-Wei,LU Jing-Bin,LI Guang-Sheng,ZHENG Yun,YAO Shun-He,WU Xiao-Guang,HE Chuang-Ye,XIA Qing-Liang,LIU Jia-Jian,LI Cong-Bo,HU Shi-Peng,WANG Jin-Long,WU Yi-Heng,LUO Peng-Wei,MA Ke-Yan,XU Chuan,SUN Jun-Jie. New high spin level scheme of⁸⁷Sr. Chinese Physics C, 2014, 38(7): 074004.doi:10.1088/1674-1137/38/7/074004
[8]	WANG Jing,HUANG Jian-Long,HE Yuan,ZHANG Xiao-Qi,ZHANG Zhou-Li,SHI Ai-Min. Multi-physics analysis of the RFQ for Injector Scheme Ⅱ of C-ADS driver linac. Chinese Physics C, 2014, 38(10): 107005.doi:10.1088/1674-1137/38/10/107005
[9]	XING Hao-Yang,WANG Li,ZHU Jing-Jun,TANG Chang-Jian,YUE Qian. Simulation of large-scale fast neutron liquid scintillation detector. Chinese Physics C, 2013, 37(2): 026003.doi:10.1088/1674-1137/37/2/026003
[10]	DAI Lian-Rong,ZHONG Wei-Wei,CONG Mei-Ling,WANG Li-Xing. Description of¹⁵⁰Nd nucleus by a new alternative scheme. Chinese Physics C, 2013, 37(12): 124101.doi:10.1088/1674-1137/37/12/124101
[11]	Kaushal Thakkar,Ajay Majethiya. Electromagnetic transition properties of Δ→Nγ in a hypercentral scheme. Chinese Physics C, 2012, 36(5): 385-389.doi:10.1088/1674-1137/36/5/001
[12]	YOU Fu-Yi,WANG Zhi-Gang,WAN Shao-Long. Analysis of (1/2)⁺baryon states containing fourth-family quarks from QCD sum rules. Chinese Physics C, 2012, 36(6): 498-504 .doi:10.1088/1674-1137/36/6/004
[13]	WANG Zhi-Gang. Analysis of the coupling constants g_a0_ηπ0 and g_a0_η′π0 with light-cone QCD sum rules. Chinese Physics C, 2010, 34(1): 7-15.doi:10.1088/1674-1137/34/1/002
[14]	WANG Mei-Juan,LIU Lian-Shou,WU Yuan-Fang. Trace initial interaction from final state observable in relativistic heavy ion collisions. Chinese Physics C, 2009, 33(1): 36-41.doi:10.1088/1674-1137/33/1/008
[15]	FU Cheng-Dong,MO Xiao-Hu. Significance of absolute energy scale for physics at BESⅢ. Chinese Physics C, 2008, 32(10): 776-780.doi:10.1088/1674-1137/32/10/002
[16]	LU GoNG-Ru,WANG Ru-Min,YANG Ya-Dong. Analysis of the Annihilation Decays B0s,d→J/ψ γ with QCD Factorization. Chinese Physics C, 2005, 29(3): 232-236.
[17]	JIANG JunQin,LI JieMing. Improved Scheme of the Lattice Hamiltonian in 1+1 Dimensional QCD. Chinese Physics C, 2000, 24(3): 208-212.
[18]	Li Tiezhong. A Scheme for Identifying Various Extra z⁰Boson Models. Chinese Physics C, 1991, 15(S3): 273-281.
[19]	Sun Changpu,Zhang Linzhi. Berry's Phase Factor in a Moving Reference Frame and Its Observable Effects in Physics. Chinese Physics C, 1990, 14(S1): 71-81.
[20]	Chen Wei. Alternative Regularization Scheme and Conformal Anomaly Strings. Chinese Physics C, 1988, 12(S4): 379-386.

Access

Get Citation

B. A. Kniehl. Scheme-scale ambiguity in analysis of QCD observable[J]. Chinese Physics C, 2010, 34(9): 1523-1526. doi: 10.1088/1674-1137/34/9/090

B. A. Kniehl. Scheme-scale ambiguity in analysis of QCD observable[J]. Chinese Physics C, 2010, 34(9): 1523-1526. doi:10.1088/1674-1137/34/9/090 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2010-02-09
Revised: 1900-01-01

Article Metric

Article Views(3330)
PDF Downloads(397)
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

Scheme-scale ambiguity in analysis of QCD observable

B. A. Kniehl

Received Date:2010-02-09
Accepted Date:1900-01-01
Available Online:2010-09-05

Abstract:

The scheme-scale ambiguity that has plagued perturbative analysis in QCD remains on obstacle to making precise tests of the theory. Many attempts have been done to resolve the scale ambiguity. In this regard the BLM, EC, PMS and CORGI approaches are more distinct. We try to employ these methods to fix the scale ambiguity at NLO, NNLO and even in more higher order approximations. By optimizing the renormalization scale, there will be a possibility to predicate higher order terms. We present general results for predicted terms at any order, using different optimization methods. Some observable as specific examples will be used to indicate the validity of scale fixing to predicate the higher order terms.