Next-to-leading-order corrections to the Higgs strahlung process from electron–positron collisions in extended Higgs models

Masashi Aiko; Shinya Kanemura; Kentarou Mawatari

doi:10.1140/epjc/s10052-021-09764-8

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2021) 81: 1000
https://doi.org/10.1140/epjc/s10052-021-09764-8

Regular Article - Theoretical Physics

Next-to-leading-order corrections to the Higgs strahlung process from electron–positron collisions in extended Higgs models

Masashi Aiko¹^a, Shinya Kanemura¹ and Kentarou Mawatari²

¹ Department of Physics, Osaka University, 560-0043, Toyonaka, Osaka, Japan
² Faculty of Education, Iwate University, 020-8550, Morioka, Iwate, Japan

^a m-aikou@het.phys.sci.osaka-u.ac.jp

Received: 10 September 2021
Accepted: 20 October 2021
Published online: 13 November 2021

Abstract

We present the cross section for $e^{+} e^{-} \to h Z$ $e^{+}e^{-}\rightarrow hZ$ with arbitrary sets of electron and Z boson polarizations at the full next-to-leading order in various extended Higgs models, such as the Higgs singlet model (HSM), the inert doublet model (IDM) and the two Higgs doublet model (2HDM). We systematically perform complete one-loop calculations to the helicity amplitudes in the on-shell renormalization scheme, and present the full analytic results as well as numerical evaluations. The deviation $Δ R^{hZ}$ $\Delta R^{hZ}$ in the total cross section from its standard model (SM) prediction is comprehensively analyzed, and the differences among these models are discussed in details. We find that new physics effects appearing in the renormalized hZZ vertex almost govern the behavior of $Δ R^{hZ}$ $\Delta R^{hZ}$ , and it takes a negative value in most cases. The possible size of $Δ R^{hZ}$ $\Delta R^{hZ}$ reaches several percent under the theoretical and experimental bounds. We also analyze the deviation $Δ R_{XY}^{hZ}$ $\Delta R^{hZ}_{XY}$ in the total cross section times decay branching ratios of the discovered Higgs boson by utilizing the H-COUP program. It is found that the four types of 2HDMs can be discriminated by analyzing the correlation between $Δ R_{τ τ}^{hZ}$ $\Delta R^{hZ}_{\tau \tau }$ and $Δ R_{bb}^{hZ}$ $\Delta R^{hZ}_{bb}$ and those between $Δ R_{τ τ}^{hZ}$ $\Delta R^{hZ}_{\tau \tau }$ and $Δ R_{cc}^{hZ}$ $\Delta R^{hZ}_{cc}$ . Furthermore, the HSM and the IDM can be discriminated from the 2HDMs by measuring $Δ R_{WW}^{hZ}$ $\Delta R^{hZ}_{WW}$ . These signatures can be tested by precision measurements at future Higgs factories such as the International Linear Collider.

© The Author(s) 2021

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