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Mixed EW-QCD two-loop amplitudes for $q\bar{q} \to \ell^+\ell^-$ and $\gamma_5$ scheme independence of multi-loop corrections

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arxiv 2012.05918 v1 pith:F427VO56 submitted 2020-12-10 hep-ph

Matthias Heller , Andreas von Manteuffel , Robert M. Schabinger , Hubert Spiesberger This is my paper · ORCID
classification hep-ph
keywords two-loopgammaschemealphaamplitudecorrectionsmixedscattering
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abstract

We perform a dedicated study of the $q \bar{q}$-initiated two-loop electroweak-QCD Drell-Yan scattering amplitude in dimensional regularization schemes for vanishing light quark and lepton masses. For the relative order $\alpha$ and $\alpha_s$ one-loop Standard Model corrections, details of our comparison to the original literature are given. The infrared pole terms of the mixed two-loop amplitude are governed by a known generalization of the dipole formula and we show explicitly that exactly the same two-loop polarized hard scattering functions are obtained in both the standard 't Hooft-Veltman-Breitenlohner-Maison $\gamma_5$ scheme and Kreimer's anticommuting $\gamma_5$ scheme.

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Cited by 2 Pith papers

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

  1. Four-Loop Renormalisation of Chiral Gauge Theories with Non-Anticommuting $\gamma_5$ in the BMHV Scheme

    hep-ph 2025-06 conditional novelty 7.0 of 10

    First 4-loop BMHV renormalization of an Abelian chiral gauge theory, with explicit finite symmetry-restoring counterterms and an application to the SM fermionic sector.

  2. An Optimal Transportation Approach for Improved Confidence Intervals

    stat.ME 2026-06 unverdicted novelty 6.0 of 10

    Optimal-transport couplings are used to construct confidence intervals that reduce coverage error relative to classical quantile-based intervals, with consistency theory and data-driven hyperparameters.

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