PreprintCC BY 4.0arXiv
Two-loop amplitude for the associated production of a top-anti-top pair and a W boson at hadron colliders
Abstract
In this contribution I present a calculation of the inclusive cross-section for the associated production of a top-anti-top pair and a W boson at next-to-next-to-leading order in QCD, based on the first exact computation of the two-loop QCD amplitude at leading colour. I discuss a strategy to express the amplitude in terms of a set of special functions with rational coefficients, overcoming the obstacle posed by the presence of elliptic functions. The special functions are evaluated through the method of differential equations, while the rational coefficients are computed using finite field techniques. For the computation of the inclusive cross-section, the double-virtual correction is evaluated by interpolating a five-dimensional grid.
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BibTeX
@misc{pozzoli2026twoloop,
title = {{Two-loop amplitude for the associated production of a top-anti-top pair and a $W$ boson at hadron colliders}},
author = {Mattia Pozzoli},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.24910},
eprint = {2609.24910},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.24910},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Two-loop amplitude for the associated production of a top-anti-top pair and a W boson at hadron colliders
AU - Mattia Pozzoli
PY - 2026
DA - 2026/09/21
PB - arXiv
DO - 10.48550/arxiv.2609.24910
UR - https://arxiv.org/abs/2609.24910
AB - In this contribution I present a calculation of the inclusive cross-section for the associated production of a top-anti-top pair and a W boson at next-to-next-to-leading order in QCD, based on the first exact computation of the two-loop QCD amplitude at leading colour. I discuss a strategy to express the amplitude in terms of a set of special functions with rational coefficients, overcoming the obstacle posed by the presence of elliptic functions. The special functions are evaluated through the method of differential equations, while the rational coefficients are computed using finite field techniques. For the computation of the inclusive cross-section, the double-virtual correction is evaluated by interpolating a five-dimensional grid.
ER -