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arXiv · 2412.00355

A Non-linear Representation of General Scalar Extensions of the Standard Model for HEFT Matching

Huayang Song·Xia Wan
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Abstract

We introduce a non-linear representation of ultraviolet~(UV) complete model, $U$ representation, under which matching HEFT to general scalar extensions of the standard model is straightforward. The main idea is to express a scalar multiplet in its linear form rotated by $U$ matrices, where $U$ matrix is exponential form of Goldstones based on Pauli matrices and meanwhile is a special $SU(2)_L$ rotation. All together the doublet is expressed in $U$ matrix multiplying a doublet column or bidoublet matrix, which is composed of physical Higgs. We show a complete matching between HEFT and real triplet extension. Meanwhile, under tensor notation, we give $U$ representation for general scalar extensions.

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Huayang Song, Xia Wan. 2024-11-30. A Non-linear Representation of General Scalar Extensions of the Standard Model for HEFT Matching. https://arxiv.org/abs/2412.00355

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