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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 d4d \geq 4, 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.

Keywords

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