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arXiv · 1511.00448

One-loop corrections to the Higgs electroweak chiral Lagrangian

Feng-Kun Guo·Pedro Ruiz-Femenia·Juan Jose Sanz-Cillero
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Abstract

In this talk we study beyond Standard Model scenarios where the Higgs is non-linearly realized. The one-loop ultraviolet divergences of the low-energy effective theory at next-to-leading order, O(p^4), are computed by means of the background-field method and the heat-kernel expansion. The power counting in non-linear theories shows that these divergences are determined by the leading-order effective Lagrangian L_2. We focus our attention on the most important O(p^4) divergences, which are provided by the loops of Higgs and electroweak Goldstones, as these particle are the only ones that couple through derivatives in L_2. The one-loop divergences are renormalized by O(p^4) effective operators, and set their running. This implies the presence of chiral logarithms in the amplitudes along with the O(p^4) low-energy couplings, which are of a similar importance and should not be neglected in next-to-leading order effective theory calculations, e.g. in composite scenarios.

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Feng-Kun Guo, Pedro Ruiz-Femenia, Juan Jose Sanz-Cillero. 2015-11-02. One-loop corrections to the Higgs electroweak chiral Lagrangian. https://arxiv.org/abs/1511.00448

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