Fermionic Electroweak Two-Loop Corrections to Drell-Yan and Related Processes

Fuente: arXiv
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Main Authors: Freitas, Ayres, Wallace, E. Jackson
Format: Preprint
Published: 2025
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author Freitas, Ayres
Wallace, E. Jackson
author_facet Freitas, Ayres
Wallace, E. Jackson
contents We perform a complete calculation of the next-to-next-to-leading order (NNLO) electroweak fermionic corrections to fermion-pair production processes, where "fermionic" refers to contributions with closed fermion loops. We did this via a semi-numerical technique that uses dispersion relations for the fermion sub-loop in two-loop box and vertex diagrams and dispersion relations and Feynman parameters for vertex diagrams with fermionic triangle sub-loops. UV and IR divergences are treated with suitable subtraction terms. We present numerical results for the cross-sections of $e^+e^-\to μ^+μ^-/u\bar{u}/d\bar{d}$ and differential distributions at representative center-of-mass energies. The NNLO corrections are found to modify the NLO cross-section on the order of 1%.
format Preprint
id arxiv_https___arxiv_org_abs_2512_15700
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Fermionic Electroweak Two-Loop Corrections to Drell-Yan and Related Processes
Freitas, Ayres
Wallace, E. Jackson
High Energy Physics - Phenomenology
We perform a complete calculation of the next-to-next-to-leading order (NNLO) electroweak fermionic corrections to fermion-pair production processes, where "fermionic" refers to contributions with closed fermion loops. We did this via a semi-numerical technique that uses dispersion relations for the fermion sub-loop in two-loop box and vertex diagrams and dispersion relations and Feynman parameters for vertex diagrams with fermionic triangle sub-loops. UV and IR divergences are treated with suitable subtraction terms. We present numerical results for the cross-sections of $e^+e^-\to μ^+μ^-/u\bar{u}/d\bar{d}$ and differential distributions at representative center-of-mass energies. The NNLO corrections are found to modify the NLO cross-section on the order of 1%.
title Fermionic Electroweak Two-Loop Corrections to Drell-Yan and Related Processes
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2512.15700