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arXiv · hep-ph/9401349

Equivalence of Dimensional Reduction and Dimensional Regularisation

I. Jack·D. R. T. Jones·K. L. Roberts
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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.

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I. Jack, D. R. T. Jones, K. L. Roberts. 1994-01-28. Equivalence of Dimensional Reduction and Dimensional Regularisation. https://doi.org/10.1007/bf01577555

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