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arXiv · 1906.02297

Renormalizing Yukawa interactions in the standard model with matrices and noncommutative geometry

Elliott Gesteau
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Abstract

We show that gauge-independent terms in the one-loop and multi-loops $\beta$-functions of the Standard Model can be exactly computed from the Wetterich functional renormalization of a matrix model. Our framework is associated to the finite spectral triple underlying the computation of the Standard Model Lagrangian from the spectral action of Noncommutative Geometry. This matrix-Yukawa duality for the $\beta$-function is a first hint towards understanding the renormalization of the Noncommutative Standard Model conceptually, and provides a novel computational approach for multi-loop $\beta$-functions of particle physics models.

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Elliott Gesteau. 2019-06-05. Renormalizing Yukawa interactions in the standard model with matrices and noncommutative geometry. https://doi.org/10.1088/1751-8121%2Fabd153

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