Regularization Dependence of Quadratic Divergence Cancellations, VPI-IHEP-92/10

1992/09/29 by Gary Kleppe, Kleppe, Gary
Computer Science · Engineering · Physics and Astronomy · #Advanced Numerical Methods in Computational Mathematics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Matrix Theory and Algorithms #hep-ph #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9209124

14 pages. Macros included. Figures not included, not available through e-mail

arxiv created 1992/09/29 · openalex publication_date 1992/09/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Certain results related to the cancellation of quadratic divergences, which had been obtained using dimensional reduction, are reconsidered using a nonlocal regulator. The results obtained are shown to depend strongly on the regulator. Specifically, it is shown that a certain result of Al-sarhi, Jack, and Jones no longer holds, even if a nontrivial measure factor is used; also that there are no values of the top and Higgs mass for which the one-loop quadratic divergence in the standard model cancels independently of the renormalization scale, whether or not strong interaction effects are ignored.

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