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

GOU Liang; DONG FangXiao; ZHOU XianJian

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《中国物理C》（英文）编辑部

2024年10月30日

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

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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

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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.

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

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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.