Chinese Physics C > 2000, Vol. 24 > Issue(12): 1098-1105

Analytical Helicity Amplitudes for Z→3γ and It's Related Processes and Discussion of Polarization Vectors

Institute of High Energy Physics, CAS, Beijing 100039, China

Abstract
HTML
Reference
Related

PDF

Abstract：
The analytical helicity amplitudes for Z→3γ and it's related processes via w-loop and charged scalar loop are presented. There are some differences between our results and those in Glover paper for Z→3γ via w-loop and fermion loop. Although these differences do not contradict the result of total decay width for Z→3γ, but the different helicity amplitudes have measurable physical meanings. We discuss the definition of polarization vector and point out the error of Glover paper.

References

[1]

Baier V N,Kurayev E A, Fadin V S. for. J. Nucl. Phys. , 1980, 31: 364; Laursen M L, Mikaelian K O, Samuel M A.Phys. Rev., 1981, D13: 27952 Glover E W N, Vander Bji J J. Nucl. Phys., 1989, B313: 237 3 DONG F X,JIANG X D,ZHOU X J. Phys. Rev., 1992,D46:50744 JIANG X D,ZHOU X J. Phys. Rev., 1993,D47:2145 DONG F X,JIANG X D,ZHOU X J. Phys. Rev., 1993,D47:5169 6 DONG F X,JIANG X D,ZHOU X J,Journal of Physics Nucl. Part. Phys., 1993,G19:969 7 YANG M Z,ZHOU X J. Phys. Rev., 1995,D52: 50188 Jikia G, Tkabladze A. Phys. Lett., 1994, B323: 4539 YANG M Z, ZHOU X J. Commun. Theor. Phys., 1997,27: 125 10 Boudjema F. Phys. Lett., 1987, B187: 362 11 Costantini V, Detollis B, Pistoni G. Nuovo Cimento, 1971, A2: 733 12 Glover E W N, Morgan A G. Z. Phys., 1993,C60: 175. 13 Lee T D. Particle Physics and Introduction to Field Theory. Beijing: Science Press, 1981. 108 14 Bjorken D,Drell D. Relativistic Quantum Fields,Published by McGraw–Hill Book Company, 1965

[1]	CAO Jun-Jie,CHEN Lan-Li,YANG Jin-Min. Polarization Vectors of Gauge Bosons. Chinese Physics C, 2007, 31(1): 23-29.
[2]	LU Xiao,LIU Guang-Dong,SHEN Peng-Nian. Study about the Binding Energy of Light Double Hypernuclei ^6_ΛΛHe,^5_ΛΛHe,^5_ΛΛH,^4_ΛΛHe,and ^4_ΛΛH Based on Chiral SU(3) Quark Model. Chinese Physics C, 2006, 30(11): 1074-1077.
[3]	WU Xing-Hua,ZHOU Ming-Zhen,HUANG Tao. Normalization Constants of the Twist-3 Distribution Amplitudes of the Pion and Kaon From the QCD Sum Rules. Chinese Physics C, 2005, 29(8): 727-730.
[4]	LU Xiao,Bai Ying,YANG Yong-Xu,SHEN Peng-Nian. Study About the Binding Energy of Light Hypernuclei 5ΛHe,4ΛHe and 4ΛH Based on Chiral SU(3) Quark Model. Chinese Physics C, 2005, 29(7): 668-672.
[5]	HUANG Fei,ZHANG Zong-Ye,YU You-Wen. Chiral SU(3) Quark Model Study of Low-energy Nπ Scattering Phase Shifts. Chinese Physics C, 2005, 29(10): 948-953.
[6]	ZHOU Ming-Zhen,WU Xing-Hua,HUANG Tao. Twist-3 Distribution Amplitudes in the B→π Transition Form Factor. Chinese Physics C, 2004, 28(9): 927-930.
[7]	ZHANG Miao-Jing,SHEN Peng-Nian,LIU Xian-Hui,KONG Fan-Xin. Study about Light Hypernuclei and YN Interaction Based on Chiral SU(3) Quark Model. Chinese Physics C, 2001, 25(8): 743-753.
[8]	Yu Youwen,Zhang Zongye,Yuan Xiuqing. Study of Six Quark Cluster States in Chiral SU(3) Quark Model. Chinese Physics C, 1999, 23(9): 859-864.
[9]	Huang Mei,Zhung Pengfei. Chiral Singularity in Hadronization. Chinese Physics C, 1998, 22(8): 690-698.
[10]	Zhang Zongye,Yu Youwen,Dai Lianrong. Quark-Chiral Field interaction inSU(3) Model. Chinese Physics C, 1996, 20(4): 363-368.
[11]	Zhao Peiying. The Analytical Approach for the Two-dimensional O(3) Non-linear σ Model. Chinese Physics C, 1995, 19(2): 143-147.
[12]	Yang Changgen,Chen Hesheng,Jin Bingnian,Tang Xiaowei. Fitting Method and Error Study for Tau Lifetime Measurements of L3 Experiment. Chinese Physics C, 1994, 18(9): 794-799.
[13]	JIANG Xiang-Dong,ZHOU Xian-Jian. General Forms of the Polarization Tensors of Z→3γ and γγ→γγ. Chinese Physics C, 1993, 17(10): 898-906.
[14]	PAN Feng. Vector Coherent State Representations of SU₃in U₁U₁Basis. Chinese Physics C, 1991, 15(1): 80-86.
[15]	YE Jing-Bo,XU Zi-Zong,CHEN Hong-Fang,MA Wen-Gan,ZHANG Zi-Ping. ERROR DISCUSSION OF LEP/L3 LUMINOSITY MEASUREMENT. Chinese Physics C, 1990, 14(3): 207-211.
[16]	CHEN Tian-Lun,SUO Cun-Chuan,HUANG Wu-Qun. β FUNCTION FOR SU(3)×SU(3) CHIRAL MODEL ON 2-DIMENSIONAL RANDOM TRIANGLE LATTICE. Chinese Physics C, 1990, 14(8): 700-703.
[17]	ZHENG Xi-Te,XU Yong. ANALYTIC STUDY OF su(3) LATTICE GAUGE THEORY. Chinese Physics C, 1989, 13(8): 765-768.
[18]	BAI Zhan-Wu. π-MESON DISTRIBUTION AMPLITUDE AND RELATIVE EXCLUSIVE PROCESSES. Chinese Physics C, 1988, 12(6): 749-753.
[19]	SHEN JIAN-PING,WU HUI-FANG. A DISCUSSION ON THEΛHYPER-NUCLEUS WITHA=3. Chinese Physics C, 1982, 6(4): 517-519.
[20]	ZHOU GUANG-ZHAO,. SOME DISCUSSIONS ON THESU(3)×U(1) ELECTRO-WEAK UNIFIED MODEL OF LEPTONS AND QUARKS. Chinese Physics C, 1981, 5(1): 39-46.

Access

Get Citation

GOU Liang, DONG FangXiao and ZHOU XianJian. Analytical Helicity Amplitudes for Z→3γ and It's Related Processes and Discussion of Polarization Vectors[J]. Chinese Physics C, 2000, 24(12): 1098-1105.

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1999-05-30
Revised: 1900-01-01

Article Metric

Article Views(4147)
PDF Downloads(658)
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

Analytical Helicity Amplitudes for Z→3γ and It's Related Processes and Discussion of Polarization Vectors

Corresponding author:GOU Liang,

Institute of High Energy Physics, CAS, Beijing 100039, China

Received Date:1999-05-30
Accepted Date:1900-01-01
Available Online:2000-12-05

Abstract:The analytical helicity amplitudes for Z→3γ and it's related processes via w-loop and charged scalar loop are presented. There are some differences between our results and those in Glover paper for Z→3γ via w-loop and fermion loop. Although these differences do not contradict the result of total decay width for Z→3γ, but the different helicity amplitudes have measurable physical meanings. We discuss the definition of polarization vector and point out the error of Glover paper.