New Solutions of RG Equations for α_s and y_{top}

A. S. Fedoruk; D. I. Kazakov

New Solutions of RG Equations for α_s and y_{top}

High Energy Physics - Theory 2026-06-26 v1

Authors: A. S. Fedoruk , D. I. Kazakov

Abstract

We construct simple analytical solutions of the RG equations for the running couplings \alpha_s and y_{top} in the asymptotic regime. These solutions have an explicit form, contain only logarithms and no special functions, and subsequently sum up the leading, subleading, etc logarithms in all orders of PT. While the effect of y_{top} on the running of \alpha_s happens to be negligible, the role of \alpha_s on the running of y_{top} is essential, the account of higher orders gives a noticeable contribution.

Keywords

renormalization group equations running coupling asymptotic regime perturbation theory top quark Yukawa coupling

Cite

@article{arxiv.2606.28084,
  title  = {New Solutions of RG Equations for α_s and y_{top}},
  author = {A. S. Fedoruk and D. I. Kazakov},
  journal= {arXiv preprint arXiv:2606.28084},
  year   = {2026}
}

Comments

Latex, 16 pg, 5 figs