Axial triangles in $q\bar{q}\to Zγ$ at two loops in QCD directly in four dimensions

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Main Authors: Kermanschah, Dario, Vicini, Matilde
Format: Preprint
Published: 2026
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author Kermanschah, Dario
Vicini, Matilde
author_facet Kermanschah, Dario
Vicini, Matilde
contents We numerically evaluate the two-loop QCD squared matrix element for in $q\bar{q}\to Z$ and $q\bar{q}\to Zγ$ with heavy top and bottom quarks circulating in a triangular fermion loop, by simultaneously subtracting infrared, ultraviolet, and threshold singularities directly in loop momentum space. This computation serves as an explicit demonstration that axial couplings can be included in the final state within the framework of arXiv:2510.18801. By formulating the entire calculation in four spacetime dimensions, with anomaly cancellation realised locally in loop momentum space, we bypass the complications associated with treating $γ^5$ in dimensional regularisation.
format Preprint
id arxiv_https___arxiv_org_abs_2603_03171
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Axial triangles in $q\bar{q}\to Zγ$ at two loops in QCD directly in four dimensions
Kermanschah, Dario
Vicini, Matilde
High Energy Physics - Phenomenology
We numerically evaluate the two-loop QCD squared matrix element for in $q\bar{q}\to Z$ and $q\bar{q}\to Zγ$ with heavy top and bottom quarks circulating in a triangular fermion loop, by simultaneously subtracting infrared, ultraviolet, and threshold singularities directly in loop momentum space. This computation serves as an explicit demonstration that axial couplings can be included in the final state within the framework of arXiv:2510.18801. By formulating the entire calculation in four spacetime dimensions, with anomaly cancellation realised locally in loop momentum space, we bypass the complications associated with treating $γ^5$ in dimensional regularisation.
title Axial triangles in $q\bar{q}\to Zγ$ at two loops in QCD directly in four dimensions
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2603.03171