General scalar renormalisation group equations at three-loop order

DOI10.1007/JHEP12(2020)012zbMATH Open1457.81068arXiv2007.06591OpenAlexW3042509246MaRDI QIDQ2660188

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Publication date: 29 March 2021

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Abstract: For arbitrary scalar QFTs in four dimensions, renormalisation group equations of quartic and cubic interactions, mass terms, as well as field anomalous dimensions are computed at three-loop order in the $overlineextMS$ scheme. Utilising pre-existing literature expressions for a specific model, loop integrals are avoided and templates for general theories are obtained. We reiterate known four-loop expressions, and derive $$ functions for scalar masses and cubic interactions from it. As an example, the results are applied to compute all renormalisation group equations in $U(n)imesU(n)$ scalar theories.

Full work available at URL: https://arxiv.org/abs/2007.06591

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