[SLAC] [SLAC Pubs and Reports]

## SLAC-PUB-7776

Energy Spectrum of Electron-Positron Pairs Produced via the Trident Process, with Application to Linear Colliders in the Deep Quantum Regime## Abstract

Explicit expressions for the energy spectrum ofe+/-pairs produced via the trident process are derived using the quasi-classical approach of Baier, Katkov, and Strakhovenko (BKS). We examine the relevance of the trident process to the design of very high energy (Eseveral TeV) linear colliders having high (_{cm}Upsilon~ 100 to several thousand). We use our calculation of the energy spectrum of the pairs to estimate the maximum expected deflection of pair-produced particles having the same sign as the oncoming bunch in a linear collider. We also compare our results for the total pair production probability with the results obtained using formulas for very highUpsilonused previously in the literature on linear colliders. The agreement is very good at extremely highUpsilon, but in the range ofUpsilonnoted above, our result for the total trident pair production rate is about a factor of two lower than the corresponding approximate result in the literature.## Full Text

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