arXiv : Effective Field Theory of the Two Higgs Doublet Model

Banta, Ian; Sutherland, Dave; Lu, Xiaochuan; Craig, Nathaniel; Cohen, Timothy

doi:10.1007/JHEP06(2023)150

Article
Report number	arXiv:2304.09884 ; CERN-TH-2023-058
Title	Effective Field Theory of the Two Higgs Doublet Model
Author(s)	Banta, Ian (UC, Santa Barbara) ; Cohen, Timothy (CERN ; EPFL, Lausanne, LPTP ; Oregon U.) ; Craig, Nathaniel (UC, Santa Barbara ; Santa Barbara, KITP) ; Lu, Xiaochuan (UC, San Diego) ; Sutherland, Dave (Glasgow U.)
Publication	2023-06-23
Imprint	2023-04-19
Number of pages	39
Note	39 pages, 10 figures
In:	JHEP 2306 (2023) 150
DOI	10.1007/JHEP06(2023)150
Subject category	hep-ph ; Particle Physics - Phenomenology
Abstract	We revisit the effective field theory of the two Higgs doublet model at tree level. The introduction of a novel basis in the UV theory allows us to derive matching coefficients in the effective description that resum important contributions from the Higgs vacuum expectation value. The new basis typically provides a significantly better approximation of the full theory prediction than the traditional approach that utilizes the Higgs basis, particularly for alignment away from the decoupling limit.
Copyright/License	preprint: (License: arXiv nonexclusive-distrib 1.0) publication: (License: CC-BY-4.0), sponsored by SCOAP³

$The Higgs and SL basis behavior for two example custodially symmetric 2HDM models. Black contours show the potential, and a black dot shows the global minimum, which has coordinates $(\cos\beta,\sin\beta)$ on these axes. The zero-derivative solutions of $\Phi_2$'s EOM, $\Phi_{2,\textbf{c}}^{(0)}$, are shown in blue if the $\Phi_2$ mass matrix is positive definite and in orange otherwise. Top: an example where $Y_{22}<0$ in both bases, and neither matches onto SMEFT. Bottom: $Y_{22}>0$ in the SL basis, whereas $Y_{\hg{2}\hg{2}}<0$ in the Higgs basis.$ $The Higgs and SL basis behavior for two example custodially symmetric 2HDM models. Black contours show the potential, and a black dot shows the global minimum, which has coordinates $(\cos\beta,\sin\beta)$ on these axes. The zero-derivative solutions of $\Phi_2$'s EOM, $\Phi_{2,\textbf{c}}^{(0)}$, are shown in blue if the $\Phi_2$ mass matrix is positive definite and in orange otherwise. Top: an example where $Y_{22}<0$ in both bases, and neither matches onto SMEFT. Bottom: $Y_{22}>0$ in the SL basis, whereas $Y_{\hg{2}\hg{2}}<0$ in the Higgs basis.$ $This figure shows for which models the SL basis EFT makes an accurate estimate of $\kappa_V$. Blue points are those for which $\delta\kappa_{V,\text{SL}}<0.1$ and orange points (shown on top of the blue points) are those for which $\delta\kappa_{V,\text{SL}}>0.1$.$ Show more plots

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Record created 2023-04-22, last modified 2024-12-06

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