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Isolated Prompt Photon Production in Hadronic Final States of $e^+e^-$ Annihilation

Edmond L. Berger·Xiaofeng Guo·Jianwei Qiu
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Abstract

We provide complete analytic expressions for the isolated prompt photon production cross section in $e^+e^-$ annihilation reactions through one-loop order in quantum chromodynamics (QCD) perturbation theory. Functional dependences on the isolation cone size $δ$ and isolation energy parameter $ε$ are derived. The energy dependence as well as the full angular dependence of the cross section on $θ_γ$ are displayed, where $θ_γ$ specifies the direction of the photon with respect to the $e^+e^-$ collision axis. We point out that conventional perturbative QCD factorization breaks down for isolated photon production in $e^+e^-$ annihilation reactions in a specific region of phase space. We discuss the implications of this breakdown for the extraction of fragmentation functions from $e^+e^-$ annihilation data and for computations of prompt photon production in hadron-hadron reactions.

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Edmond L. Berger, Xiaofeng Guo, Jianwei Qiu. 1996-05-15. Isolated Prompt Photon Production in Hadronic Final States of $e^+e^-$ Annihilation. https://doi.org/10.1103/physrevd.54.5470

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