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One loop multiphoton helicity amplitudes
Phys. Rev. D 49, 2197 – Published 1 March, 1994
DOI: https://doi.org/10.1103/PhysRevD.49.2197
Abstract
We use the solutions to the recursion relations for double-off-shell fermion currents to compute helicity amplitudes for -photon scattering and electron-positron annihilation to photons in the massless limit of QED. The form of these solutions is simple enough to allow all of the integrations to be performed explicitly. For -photon scattering, we find that unless the amplitudes for the helicity configurations (+++...+) and (-++...+) vanish to one-loop order.
References (21)
- J. Schwinger, Particles, Sources, and Fields (Addison-Wesley, Redwood City, CA, 1970), Vol. I Ann. Phys. (N.Y.) 119, 192 (1979)
- P. De Causmaecker, R. Gastmans, W. Troost, and T.T. Wu, Phys. Lett. 105B, 215 (1981) Nucl. Phys. B206, 53 (1982) F.A. Berends, R. Kleiss, P. De Causmaecker, R. Gastmans, W. Troost, and T.T. Wu, ibid. B206, 61 (1982) F.A. Berends, P. De Causmaecker, R. Gastmans, R. Kleiss, W. Troost, and T.T. Wu, ibid. B239, 382 (1984) ibid.B239, 395 (1984) ibid.B264, 243 (1986) ibid.B264, 265 (1986)
- Z. Xu, D.H. Zhang, and Z. Chang, Tsinghua University Reports Nos. TUTP-84/3, 84/4, and 84/5a, 1984 (unpublished) Nucl. Phys. B291, 392 (1984)
- R. Gastmans and T.T. Wu, The Ubiquitous Photon: Helicity Method for QED and QCD (Oxford University Press, New York, 1990)
- M. Mangano and S.J. Parke, Phys. Rep. 200, 301 (1991)
- [4,5]
- F.A. Berends and W.T. Giele, Nucl. Phys. B294, 700 (1987) M. Mangano, S. Parke, and Z. Xu, ibid. B298, 653 (1988) M. Mangano, ibid. B309, 461 (1988)
- F.A. Berends and W.T. Giele, Nucl. Phys. B206, 759 (1988)
- C. Dunn and T.-M. Yan, Nucl. Phys. B352, 402 (1991)
- C. Dunn, Ph.D. thesis, Cornell University, 1990
- G. Mahlon and T.-M. Yan, Phys. Rev. D 47, 1776 (1993)
- G. Mahlon, Phys. Rev. D 47, 1812 (1993)
- G. Mahlon, T.-M. Yan, and C. Dunn, Phys. Rev. D 48, 1337 (1993)
- G. Mahlon, Fermilab Report No. Fermilab-Pub-93-389-T, 1993 (unpublished)
- R. Karplus and M. Neuman, Phys. Rev. 80, 380 (1950) ibid.83, 776 (1951)
- V. Costantini, B. De Tollis, and G. Pistoni, Nuovo Cimento 2A, 733 (1971)
- G. 't Hooft and M. Veltman, Nucl. Phys. B44, 189 (1972)
- W.T. Giele (private communication)
- M. Mangano, Nucl. Phys. B309, 461 (1988)
- L.M. Brown and R.P. Feynman, Phys. Rev. 80, 231 (1952) I. Harris and L.M. Brown, ibid. 105, 1656 (1957)
- K.A. Milton, W.-Y. Tsai, and L.L. DeRaad, Jr., Phys. Rev. D 6, 1411 (1972) ibid.6, 1428 (1972) A. Góngora-T and R.G. Stuart, Z. Phys. C 42, 617 (1989) H. Veltman, Phys. Rev. D 40, 2810 (1989)