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NLO QED Corrections to Hard-Bremsstrahlung Emission in Bhabha Scattering

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arxiv 0909.1750 v2 pith:CUCAQQLQ submitted 2009-09-09 hep-ph

classification hep-ph
keywords correctionsscatteringbhabhagammahard-bremsstrahlungmethodnumericalone-loop
verification ladder T0 review T1 audit T2 compute T3 formal
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In this paper we present a numerical implementation of the one-loop QED corrections to the hard-bremsstrahlung process e- e+ \to e- e+ gamma. These corrections can be included in the Monte Carlo event generators employed for simulating Bhabha scattering events at low-energy high-luminosity electron-positron colliders. The calculation is performed by employing the reduction method developed by Ossola, Papadopoulos and Pittau. Our results are implemented in a modular code for the numerical evaluation of the scattering amplitudes for any given phase-space point. In a similar way, we also evaluate the one-loop QED corrections to e- e+ \to mu- mu+ gamma, which represents an interesting application of the method in the presence of two different mass scales in the loops.

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  1. On the extraction of $\alpha_\textit{em}(m_Z^2)$ at Tera-$Z$

    hep-ph 2025-01 conditional novelty 7.0 of 10

    Forward-region Bhabha ratios at Tera-Z could extract alpha_em(m_Z^2) with a projected statistical sensitivity of about 6e-6, below the current bottleneck.

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