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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

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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