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Two-Loop Correction to Bhabha Scattering

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arxiv hep-ph/0010075 v1 pith:IUD7TWJQ submitted 2000-10-09 hep-ph hep-ex

classification hep-phhep-ex
keywords bhabhacorrectionsprocessesresultsscatteringtwo-loopagreesanalogous
verification ladder T0 review T1 audit T2 compute T3 formal
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We present the two-loop virtual QED corrections to e^+ e^- to mu^+ mu^- and Bhabha scattering in dimensional regularization. The results are expressed in terms of polylogarithms. The form of the infrared divergences agrees with previous expectations. These results are a crucial ingredient in the complete next-to-next-to-leading order QED corrections to these processes. A future application will be to reduce theoretical uncertainties associated with luminosity measurements at e^+ e^- colliders. The calculation also tests methods that may be applied to analogous QCD processes.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  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.

  2. Towards a Fully Automated Differential $\text{NNLO}_\text{EW}$ Generator for Lepton Colliders

    hep-ph 2025-12 unverdicted novelty 5.0 of 10

    A framework based on the YFS theorem enables process-independent local IR subtraction and resummation matching for automated NNLO_EW calculations in lepton collider processes.

  3. The anomalous magnetic moment of the muon in the Standard Model

    hep-ph 2020-06 accept novelty 2.0 of 10

    The Standard Model value for the muon anomalous magnetic moment is 116591810(43)×10^{-11}, 3.7σ below the Brookhaven experimental measurement.

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