Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-12-19
Eur.Phys.J.C23:633-649,2002
Physics
High Energy Physics
High Energy Physics - Phenomenology
17 pages, LATEX (svjour style files included)
Scientific paper
10.1007/s100520200905
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 $m/E \lesssim \theta \ll 1$, 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 $e^8$ are derived omitting only terms of the order of $m^2/E^2, \theta^2$, $\theta m/E$ 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.
Carimalo C.
Schiller Avraham
Serbo Valery G.
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