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arXiv · 2604.23526

Smooth Threshold Effects from Dimensional Regularization

Yannick Kluth
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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 $d \geq 4$, 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.

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Yannick Kluth. 2026-04-26. Smooth Threshold Effects from Dimensional Regularization. https://arxiv.org/abs/2604.23526

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