Comparisons of Exact Results for the Virtual Photon Contribution to Single Hard Bremsstrahlung in Radiative Return for Electron-Positron Annihilation

Abstract

We compare fully differential exact results for the virtual photon correction to single hard photon bremsstrahlung obtained using independent calculations, both for electron-positron annihilation at high-energy colliders and for radiative return applications. The results are compared using Monte Carlo evaluations of the matrix elements as well as by direct analytical evaluation of certain critical limits. Special attention is given to the issues of numerical stability and the treatment of finite-mass corrections. It is found that agreement on the order of 10^{-5} or better is obtained over most of the range of hard photon energies, at CMS energies relevant to both high energy collisions and radiative return experiments.

arXiv comment15 pages, 6 eps figures. Uses revtex4, amsmath, graphicx. New version includes definitions of acronyms and minor notational changes in the appendix

References in corpus (13)

• The Precision Monte Carlo Event Generator KK For Two-Fermion Final States In e+e- Collisions
• Coherent Exclusive Exponentiation For Precision Monte Carlo Calculations
• Measuring sigma(e^+e^- \to hadrons) using tagged photon
• Radiative return at NLO and the measurement of the hadronic cross-section in electron-positron annihilation
• Four Pion Final States with Tagged Photons at Electron Positron Colliders
• The radiative return at phi- and B-factories: FSR at next-to-leading order
• NLO QED corrections to ISR in e+ e- annihilation and the measurement of σ(e+ e- \to hadrons) using tagged photons
• The radiative return at small angles: virtual corrections
• Exact O(alpha) Corrections to the Single Hard Bremsstrahlung Process in Low Angle Bhabha Scattering in the SLC/LEP Energy Regime
• Contribution of the direct decay $\varphi \to {\pi }^{+}{\pi }^{-}\gamma$ to the process $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\gamma$ at DA$\Phi$NE
• Exact Differential O(alpha**2) Results for Hard Bremsstrahlung in e+e- Annihilation to 2f At and Beyond LEP2 Energies
• Comparisons of Fully Differential Exact Results for O(alpha) Virtual Corrections to Single Hard Bremsstrahlung in e+e- Annihilation at High Energies
• Perspectives for the radiative return at meson factories

Cited by in corpus (7)

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• NLO QED Corrections to Hard-Bremsstrahlung Emission in Bhabha Scattering
• Simulation of electron-positron annihilation into hadrons with the event generator PHOKHARA
• The radiative return method - a short theory review
• PHOKHARA, the radiative return and the $(g-2{)}_{\mu }$ puzzle
• Status and accuracy of the Monte Carlo generators for luminosity measurements