The trilinear Higgs self-couplings at in the CP-violating NMSSM

Christoph Borschensky; Thi Nhung Dao; Martin Gabelmann; Margarete Mühlleitner; Heidi Rzehak

doi:10.1140/epjc/s10052-023-11215-5

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 118
https://doi.org/10.1140/epjc/s10052-023-11215-5

Regular Article - Theoretical Physics

The trilinear Higgs self-couplings at $O (α_{t}^{2})$ $\mathcal {O}(\alpha _t^2)$ in the CP-violating NMSSM

Christoph Borschensky¹, Thi Nhung Dao²^b, Martin Gabelmann³, Margarete Mühlleitner¹ and Heidi Rzehak⁴

¹ Institute for Theoretical Physics, Karlsruhe Institute of Technology, Wolfgang-Gaede-Str. 1, 76131, Karlsruhe, Germany
² Faculty of Fundamental Sciences, Phenikaa University, 12116, Hanoi, Vietnam
³ Deutsches Elektronen-Synchrotron DESY, Notkestr. 85, 22607, Hamburg, Germany
⁴ Institute for Theoretical Physics, University of Tübingen, Auf der Morgenstelle 14, 72076, Tübingen, Germany

^b nhung.daothi@phenikaa-uni.edu.vn

Received: 12 October 2022
Accepted: 8 January 2023
Published online: 4 February 2023

Abstract

In supersymmetric theories the Higgs boson masses are derived quantities where higher-order corrections have to be included in order to match the measured Higgs mass value at the precision of current experiments. Closely related through the Higgs potential are the Higgs self-interactions. In addition, the measurement of the trilinear Higgs self-coupling provides the first step towards the reconstruction of the Higgs potential and the experimental verification of the Higgs mechanism sui generis. In this paper, we advance our prediction of the trilinear Higgs self-couplings in the CP-violating Next-to-Minimal Supersymmetric extension of the SM (NMSSM). We provide the $O (α_{t}^{2})$ $\mathcal{O}(\alpha _t^2)$ corrections in the gaugeless limit at vanishing external momenta. The higher-order corrections turn out to be larger than the corresponding mass corrections but show the expected perturbative convergence. The inclusion of the loop-corrected effective trilinear Higgs self-coupling in gluon fusion into Higgs pairs and the estimate of the theoretical uncertainty due to missing higher-order corrections indicate that the missing electroweak higher-order corrections may be significant.

© The Author(s) 2023

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