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A correct renormalization procedure for the electroweak chiral Lagrangian

Qi-Shu Yan
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Abstract

We perform a systematic one-loop renormalization to the standard model with a nonlinearly realized Higgs boson field and the electroweak chiral Lagrangian up to $O(p^2)$ order. We find even in the nonlinear form, the Higgs model of the standard model is renormalizable in our procedure. We also examine $β$ functions of gauge couplings for the standard model and $β$ functions for anomalous couplings in the electroweak chiral Lagrangian up to $O(p^2)$ order, and find our results agree with all well-known results. Based on these observations, we conclude that our calculation procedure could be a correct one to systematically construct the divergences of the electroweak chiral Lagrangian when $O(p^4)$ operators are included.

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Qi-Shu Yan. 2005-10-03. A correct renormalization procedure for the electroweak chiral Lagrangian. https://arxiv.org/abs/hep-ph/0509340

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