𝒪(αs2α) threshold corrections to inclusive Z-boson production
Abstract
To match the experimental precision targeted by future collider programs, theoretical predictions for Drell-Yan production must incorporate higher-order mixed Quantum Chromodynamics and electroweak corrections. In this work, we present for the first time the 𝒪(αs2α) corrections to the inclusive cross-section for Z-boson production in the threshold limit. By systematically evaluating the missing singlet contributions, we obtain the complete set of 𝒪(αs2α) quark form factors, which we use to construct the soft-virtual cross-section by exploiting renormalization group invariance, the K+G evolution equation, and universal soft-collinear factorization. Our results capture the dominant threshold logarithmic enhancements, improve the theoretical scale uncertainties, significantly reduce electroweak input scheme dependence, and establish a crucial step toward complete 𝒪(αs2α) corrections indispensable for future precision programs.
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BibTeX
@misc{pati2026𝒪αs2α,
title = {{$\mathcalO(α_s^2α)$ threshold corrections to inclusive $Z$-boson production}},
author = {Tanmoy Pati and Narayan Rana and Avick Saha},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.31609},
eprint = {2610.31609},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.31609},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - 𝒪(α_s^2α) threshold corrections to inclusive Z-boson production
AU - Tanmoy Pati
AU - Narayan Rana
AU - Avick Saha
PY - 2026
DA - 2026/10/22
PB - arXiv
DO - 10.48550/arxiv.2610.31609
UR - https://arxiv.org/abs/2610.31609
AB - To match the experimental precision targeted by future collider programs, theoretical predictions for Drell-Yan production must incorporate higher-order mixed Quantum Chromodynamics and electroweak corrections. In this work, we present for the first time the 𝒪(α_s^2α) corrections to the inclusive cross-section for Z-boson production in the threshold limit. By systematically evaluating the missing singlet contributions, we obtain the complete set of 𝒪(α_s^2α) quark form factors, which we use to construct the soft-virtual cross-section by exploiting renormalization group invariance, the K+G evolution equation, and universal soft-collinear factorization. Our results capture the dominant threshold logarithmic enhancements, improve the theoretical scale uncertainties, significantly reduce electroweak input scheme dependence, and establish a crucial step toward complete 𝒪(α_s^2α) corrections indispensable for future precision programs.
ER -