New method for calculating helicity amplitudes of jet-like QED processes for high-energy colliders |
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Authors: | C Carimalo A Schiller VG Serbo |
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Institution: | LPNHE, IN2P3-CNRS, Université Paris VI, 75252 Paris, France, FR Institut für Theoretische Physik and NTZ, Universit?t Leipzig, 04109 Leipzig, Germany, DE Novosibirsk State University, Novosibirsk, 630090 Russia, RU
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Abstract: | Inelastic QED processes, the cross sections of which do not drop with increasing energy, play an important role at high-energy
colliders. Such reactions have the form of two-jet processes with the exchange of a virtual photon in the t-channel. We consider them in the region of small scattering angles , which yields the dominant contribution to their total cross sections. A new effective method is presented and applied to
QED processes with emission of real photons to calculate the helicity amplitudes of these processes. Its basic idea is similar
to the well-known equivalent-lepton method. Compact analytical expressions for those amplitudes up to are derived omitting only terms of the order of and higher order. The helicity amplitudes are presented in a compact form in which large compensating terms are already cancelled.
Some common properties for all jet-like processes are found and we discuss their origin.
Received: 19 December 2001 / Published online: 5 April 2002 |
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