The connection between the DRED and NSVZ renormalisation schemes

I. Jack , D.R.T. Jones , A. Pickering

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classification ✦ hep-ph

keywords alphadrednsvzbetaschemesapproximantcertaincompare

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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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