We calculate four-loop QCD corrections to the electroweak ρ parameter with a non-vanishing b quark mass. At three loops, it was observed that elliptic integrals contribute to this observable. This prompts the question of which classes of functions appear at the next order. We report on the status of our calculation with a focus on the mathematical structures that emerge at four loops.
@article{arxiv.2407.21700,
title = {Four-loop two-mass tadpoles and the $\rho$ parameter},
author = {Samuel Abreu and Arnd Behring and Andrew McLeod and Ben Page},
journal= {arXiv preprint arXiv:2407.21700},
year = {2024}
}
Comments
Contribution to the proceedings of the Loops and Legs in Quantum Field Theory conference (LL2024), 14-19 April 2024, Wittenberg, Germany