Abstract
The a-function is a proposed quantity defined in even dimensions which has a monotonic behaviour along RG flows, related to the β-functions via a gradient flow equation. We study the a-function for a general scalar theory in six dimensions, using the β-functions up to three-loop order for both the \( \overline{\mathrm{MS}} \) and MOM schemes (the latter presented here for the first time at three loops).
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Gracey, J.A., Jack, I. & Poole, C. The a-function in six dimensions. J. High Energ. Phys. 2016, 174 (2016). https://doi.org/10.1007/JHEP01(2016)174
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DOI: https://doi.org/10.1007/JHEP01(2016)174