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A non-linear representation of general scalar extensions of the Standard Model for HEFT matching
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Journal Article
A non-linear representation of general scalar extensions of the Standard Model for HEFT matching
2025
Overview
A
bstract
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 symmetric tensor representation 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 a bidoublet matrix), which is composed of physical Higgs. Under these forms, in the UV Lagrangian there leave no mass mixing or kinetic mixing among
U
matrix and physical states, thus the Goldstones could be kept in
U
matrix throughout HEFT matching, and the matching process under functional method is much simplified. As an example, using
U representation
we show a complete matching between HEFT and the real triplet extension of Standard Model in a decoupling scenario.
Publisher
Springer Berlin Heidelberg,Springer Nature B.V,SpringerOpen
