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

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

1995-07-26

arxiv.org/abs/hep-ph/9507428v3

Phys.Rev. D53 (1996) 1124-1141

Physics

High Energy Physics

High Energy Physics - Phenomenology

40 pages, RevTex, 30 figures in postscript available in a separate file

Scientific paper

10.1103/PhysRevD.53.1124

We provide complete analytic expressions for the inclusive prompt photon production cross section in hadronic final states of $e^+e^-$ annihilation reactions through one-loop order in quantum chromodynamics perturbation theory. Computed explicitly are direct photon production through first order in the electromagnetic strength $\alpha_{em}$ and the quark-to-photon and gluon-to-photon fragmentation contributions through first order in the strong coupling $\alpha_s$. The full angular dependence of the cross sections is displayed, separated into transverse $(1 +\cos ^2\theta _\gamma)$ and longitudinal $(\sin ^2\theta_\gamma)$ components, where $\theta_\gamma$ specifies the direction of the photon with respect to the $e^+e^-$ collision axis. We discuss extraction of fragmentation functions from $e^+e^-$ data.

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