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arXiv · 2102.12832

Six-loop beta functions in general scalar theory

Alexander Bednyakov·Andrey Pikelner
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Abstract

We consider general renormalizable scalar field theory and derive six-loop beta functions for all parameters in d = 4 dimensions within the $\overline{MS}$-scheme. We do not explicitly compute relevant loop integrals but utilize $O(n)$-symmetric model counter-terms available in the literature. We consider dimensionless couplings and parameters with a mass scale, ranging from the trilinear self-coupling to the vacuum energy. We use obtained results to extend renormalization-group equations for several vector, matrix, and tensor models to the six-loop order. Also, we apply our general expressions to derive new contributions to beta functions and anomalous dimensions in the scalar sector of the Two-Higgs-Doublet Model.

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Alexander Bednyakov, Andrey Pikelner. 2021-02-25. Six-loop beta functions in general scalar theory. https://doi.org/10.1007/jhep04(2021)233

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