Equivalence of Dimensional Reduction and Dimensional Regularisation

Preprint

28 January 1994

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-ph/9401349

Abstract

For some years there has been uncertainty over whether regularisation by dimensional reduction (DRED) is viable for non-supersymmetric theories. We resolve this issue by showing that DRED is entirely equivalent to standard dimensional regularisation (DREG), to all orders in perturbation theory and for a general renormalisable theory. The two regularisation schemes are related by an analytic redefinition of the couplings, under which the $\b$-functions calculated using DRED transform into those computed in DREG. The $S$-matrix calculated using DRED is numerically equal to the DREG version, ensuring that both schemes give the same physics.

Keywords

All Related Versions

Version 1, 1994-01-28, ArXiv
Published version: The European Physical Journal C, 63 (1), 151.

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