Equivalence of Dimensional Reduction and Dimensional Regularisation

Details Equivalence of Dimensional Reduction and Dimensional Regularisation Equivalence of Dimensional Reduction and Dimensional Regularisation

1994-01-28

arxiv.org/abs/hep-ph/9401349v1

Z.Phys. C63 (1994) 151-160

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, LTH 329. Uses Harvmac

Scientific paper

10.1007/BF01577555

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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