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

GOU Liang; DONG FangXiao; ZHOU XianJian

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]	HUANG Tao . Form Factors for B(B_c)→Dlν in Light-Cone Sum Rules with Chiral Current Correlator. Chinese Physics C, 2007, 31(9): 849-856.
[2]	LIANG Xiao-Feng , CHEN Huan , CHANG Lei , LIU Yu-Xin . Dynamical Chiral Symmetry Breaking and Phase Transition of Cuprate Superconductors in QED₃. Chinese Physics C, 2007, 31(2): 209-218.
[3]	CAO Jun-Jie , CHEN Lan-Li , YANG Jin-Min . Polarization Vectors of Gauge Bosons. Chinese Physics C, 2007, 31(1): 23-29.
[4]	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.
[5]	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.
[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]	QIAN Hai-Jie , SU Run , WANG Jia-Ou , WU Xiang , DONG Yu-Hui , WU Zi-Yu , WANG Yu-Tian , WEI Long , , . O 1s2p2p Auger Process Investigation of the Pr_1-x Sr_x MnO₃ System. Chinese Physics C, 2003, 27(S1): 40-44.
[8]	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.
[9]	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.
[10]	Yun Xiuqing , Zhang Zongye , Yu Youwen , Shen Pengnian . Structure of Dibaryon in Chiral-Quark Model. Chinese Physics C, 1998, 22(8): 718-725.
[11]	Huang Mei , Zhung Pengfei . Chiral Singularity in Hadronization. Chinese Physics C, 1998, 22(8): 690-698.
[12]	Zhang Zongye , Yu Youwen , Dai Lianrong . Quark-Chiral Field interaction in SU(3) Model. Chinese Physics C, 1996, 20(4): 363-368.
[13]	Zhang Lin , Yu Hong , Shen Qixing . Moment Analysis for the Process e⁺e^－→J/ψ→V+X(J^PC), X→3P. Chinese Physics C, 1995, 19(9): 800-811.
[14]	Zhang Jilong , Shen Qixing , Yu Hong . Helicity Formalism of the Angular Distributions for the Process e⁺+e^－→J/ψ→V+X,X→3P. Chinese Physics C, 1994, 18(1): 43-51.
[15]	SHEN Qi-Xing , YU Hong . Determining the Spin and Parity of Particle X for the Process J/ψ→V₁,X→V₂+V₃ by Using the Generalized Moment Analysis Method. Chinese Physics C, 1993, 17(6): 503-510.
[16]	DENG Sheng-Hua , LI Jia-Rong . Disappearance of Chiral Soliton Solutions and Chiral Phase Transition at High Temperature. Chinese Physics C, 1993, 17(2): 140-145.
[17]	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.
[18]	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.
[19]	MA ZHONG-QI , DONG FANG-XIAO , YUE ZONG-WU , ZHOU XIAN-JIAN , XUE PEI-YOU . DISCUSSION OF A SU(2)×U(1)×S₃ MODEL WITH TWO HIGGS DOUBLETS AND CALCULATION OF CABIBBO-LIKE-PARAMETERS. Chinese Physics C, 1981, 5(3): 298-306.
[20]	YUAN TU-NAN , TU TUNG-SHENG . STRONG INTERACTION AND CHIRAL GAUGE FIELD. Chinese Physics C, 1978, 2(6): 481-487.

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(3020)
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.