On dimensional regularization of sums

Abstract

We discuss a systematic way to dimensionally regularize divergent sums arising in field theories with an arbitrary number of physical compact dimensions or finite temperature. The method preserves the same symmetries of the action as the conventional dimensional regularization and allows an easy separation of the regulated divergence from the finite term that depends on the compactification radius (temperature).

22 pages, 1 figure

References in corpus (5)

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• One-loop Higgs mass finiteness in supersymmetric Kaluza-Klein theories
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• Dimensional regularization of a compact dimension

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