Smooth Threshold Effects from Dimensional Regularization
High Energy Physics - Theory
2026-04-28 v1 High Energy Physics - Phenomenology
Abstract
We suggest a non-minimal renormalization scheme based on dimensional regularization that naturally incorporates threshold effects of heavy particles. By renormalizing couplings and masses to subtract all poles in , the resulting scheme is mass-dependent and circumvents shortcomings of mass-independent schemes like minimal subtraction. At the same time, many advantages of minimal subtraction such as gauge independence are retained. Through explicit one-loop computations in QCD, we demonstrate that this scheme reduces to minimal subtraction at high energies while providing smooth transitions at particle thresholds and implementing the Appelquist-Carazzone theorem. Potential future applications and extensions are discussed.
Cite
@article{arxiv.2604.23526,
title = {Smooth Threshold Effects from Dimensional Regularization},
author = {Yannick Kluth},
journal= {arXiv preprint arXiv:2604.23526},
year = {2026}
}
Comments
6 pages, 4 figures