Exploring correlations between HEFT Higgs couplings and via HH production at colliders

J. M. Dávila; D. Domenech; M. J. Herrero; R. A. Morales

doi:10.1140/epjc/s10052-024-12815-5

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2024) 84: 503
https://doi.org/10.1140/epjc/s10052-024-12815-5

Regular Article - Theoretical Physics

Exploring correlations between HEFT Higgs couplings $κ_{V}$ $\kappa _V$ and $κ_{2 V}$ $\kappa _{2V}$ via HH production at $e^{+} e^{-}$ colliders

J. M. Dávila¹, D. Domenech¹, M. J. Herrero¹ and R. A. Morales²^d

¹ Departamento de Física Teórica and Instituto de Física Teórica, IFT-UAM/CSIC, Universidad Autónoma de Madrid, Cantoblanco, 28049, Madrid, Spain
² IFLP, CONICET-Dpto. de Física, Universidad Nacional de La Plata, C.C. 67, 1900, La Plata, Argentina

^d roberto.morales@fisica.unlp.edu.ar

Received: 9 January 2024
Accepted: 14 April 2024
Published online: 14 May 2024

Abstract

In this work we explore the phenomenological implications at future $e^{+} e^{-}$ $$e^+e^-$$ colliders of assuming anomalous couplings of the Higgs boson to gauge bosons HVV and HHVV $(V = W, Z)$ $$(V=W,Z)$$ given by the $κ$ $\kappa$ -modifiers with respect to the Standard Model couplings, $κ_{V}$ $\kappa _V$ and $κ_{2 V},$ $\kappa _{2V},$ respectively. For this study we use the Higgs Effective Field Theory (HEFT) where these two $κ$ $\kappa$ parameters are identified with the two most relevant effective couplings at leading order, concretely $a = κ_{V}$ $a=\kappa _V$ and $b = κ_{2 V} .$ $b=\kappa _{2V}.$ Our focus is put on these two couplings and their potential correlations which we believe carry interesting information on the underlying ultraviolet theory. The particular studied process is $e^{+} e^{-} \to H H ν \bar{ν},$ $e^+e^- \rightarrow HH \nu \bar{\nu },$ where the vector boson scattering subprocess $W W \to H H$ $WW \rightarrow HH$ plays a central role, specially at the largest planned energy colliders. Our detailed study of this process as a function of the energy and the angular variables indicates that the produced Higgs bosons in the BSM scenarios will have in general a high transversality as compared to the SM case if $κ_{V}^{2} \neq κ_{2 V} .$ $\kappa _V^2 \ne \kappa _{2V}.$ In order to enhance the sensitivity to these HEFT parameters $κ_{V}$ $\kappa _V$ and $κ_{2 V}$ $\kappa _{2V}$ and their potential correlations we propose here some selected differential cross sections for the $e^{+} e^{-} \to H H ν \bar{ν}$ $e^+e^- \rightarrow HH \nu \bar{\nu }$ process, where different kinematic properties of the BSM case with respect to the SM are manifested. Finally, we will focus on the dominant Higgs decays to $b \bar{b}$ $b {\bar{b}}$ pairs leading to final events with 4 b-jets and missing transverse energy from the undetected neutrinos and will provide the expected accessibility to the $(κ_{V}, κ_{2 V})$ $(\kappa _V,\kappa _{2V})$ effective couplings and their potential correlations. In our study we will consider the three projected energies for $e^{+} e^{-}$ $$e^+e^-$$ colliders of 500 GeV, 1000 GeV and 3000 GeV.

© The Author(s) 2024

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