𝒪(ααs2) corrections to the Top Quark mass
Abstract
We calculate the three-loop 𝒪(ααs2) mixed QCD-EW corrections to the top quark mass and obtain the relationships between the pole (Mt) and MS̅ (mt(μ)) masses at this order. In performing our calculation, we express the three-loop self-energies as a function of three-loop master integrals (MIs). These MIs are defined so as to solve a differential equation in ε-factorized form, allowing for their solution to be expressed as iterated integrals. We discuss the types of differential forms that we encounter, which include periods of elliptic curves, and their role in the final physical result. Using our results, we calculate the shift in mt(Mt) arising at this order. For Mt = 172.3 GeV, the shift is -216 MeV, which is comparable to the currently quoted experimental uncertainty.
Related
- QCD corrections to light-quark dipole sensitivity via transverse spin asymmetries at the Electron-Ion Collider
- NNLO Final-State Quark-Pair Corrections in Implicit Regularization
- Absence of linear power corrections in heavy-quark pair production in a non-Abelian gauge theory
- Analytic two-loop corrections to top-quark pair production at hadron colliders
- Power corrections to heavy-quark spin correlations in small-x deep-inelastic scattering
BibTeX
@misc{gaggero2026𝒪ααs2,
title = {{$\mathcalO(αα_s^2)$ corrections to the Top Quark mass}},
author = {Daniele Gaggero and Ciaran Williams},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.40229},
eprint = {2609.40229},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.40229},
}
RIS
TY - UNPB
TI - 𝒪(αα_s^2) corrections to the Top Quark mass
AU - Daniele Gaggero
AU - Ciaran Williams
PY - 2026
DA - 2026/09/30
PB - arXiv
DO - 10.48550/arxiv.2609.40229
UR - https://arxiv.org/abs/2609.40229
AB - We calculate the three-loop 𝒪(αα_s^2) mixed QCD-EW corrections to the top quark mass and obtain the relationships between the pole (M_t) and MS̅ (m_t(μ)) masses at this order. In performing our calculation, we express the three-loop self-energies as a function of three-loop master integrals (MIs). These MIs are defined so as to solve a differential equation in ε-factorized form, allowing for their solution to be expressed as iterated integrals. We discuss the types of differential forms that we encounter, which include periods of elliptic curves, and their role in the final physical result. Using our results, we calculate the shift in m_t(M_t) arising at this order. For M_t = 172.3 GeV, the shift is -216 MeV, which is comparable to the currently quoted experimental uncertainty.
ER -