The connection between the DRED and NSVZ renormalisation schemes

Details The connection between the DRED and NSVZ renormalisation schemes The connection between the DRED and NSVZ renormalisation schemes

1998-05-27

arxiv.org/abs/hep-ph/9805482v3

Phys.Lett. B435 (1998) 61-66

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, including 1 figure. Plain TeX. Uses Harvmac and epsf. Version to be published in Phys. Lett. B. with minor correction

Scientific paper

10.1016/S0370-2693(98)00769-2

We explore the relationship between the DRED and NSVZ schemes. Using certain exact results for the soft scalar mass $\beta$-function, we derive the transformation of $\alpha^{\DRED}$ to $\alpha^{\NSVZ}$ through terms of order $\alpha^4$. We thus incidentally determine $\beta_{\alpha}^{\DRED}$ through four loops, and we compare our result to a previous Pad\'e Approximant prediction.

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