Testing Z boson rare decays with and in the NMSSM

Subhadip Bisal; Debottam Das

doi:10.1140/epjc/s10052-024-12984-3

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2024) 84: 630
https://doi.org/10.1140/epjc/s10052-024-12984-3

Regular Article - Theoretical Physics

Testing Z boson rare decays $Z \to H_{1} γ, A_{1} γ$ $Z\rightarrow H_1 \gamma , A_1 \gamma$ with ${(g - 2)}_{μ},$ $(g-2)_\mu ,$ $M_{W},$ and $B R (h_{SM} \to Z γ)$ $BR(h_{\textrm{SM}}\rightarrow Z\gamma )$ in the NMSSM

Subhadip Bisal¹^,2^a and Debottam Das¹^,2

¹ Institute of Physics, Sachivalaya Marg, 751 005, Bhubaneswar, India
² Homi Bhabha National Institute, Training School Complex, Anushakti Nagar, 400 094, Mumbai, India

^a subhadip.b@iopb.res.in

Received: 4 March 2024
Accepted: 3 June 2024
Published online: 24 June 2024

Abstract

We study the rare decay process of Z boson into photon, accompanied by a CP-even or CP-odd scalar. We present the analytical delineation of the processes through the model-independent parametrizations of the new physics couplings and, finally, consider the Next-to-Minimal Supersymmetric Standard Model to mark out the parameter space where the branching fraction can have the maximum value. As a part of the necessary phenomenological and experimental cross-checks, we aim to fit the anomalous magnetic moment of the muon and W boson mass anomaly through the supersymmetric contributions. We also find that the decays $Z \to H_{1} γ, A_{1} γ$ $Z\rightarrow H_1 \gamma , A_1 \gamma$ can serve as an excellent complementary test to $B R (h_{SM} \to Z γ) .$ $BR(h_{\textrm{SM}}\rightarrow Z\gamma ).$ In fact, to facilitate future searches, we unveil a few benchmark points that additionally satisfy the deviation of $B R (h_{SM} \to Z γ)$ $BR(h_{\textrm{SM}}\rightarrow Z\gamma )$ from the SM value based on the recent measurements of ATLAS and CMS. Future proposals such as ILC, CEPC, and FCC-ee are anticipated to operate for multiple years, focusing on center-of-mass energy near the Z pole. Consequently, these projects will be capable of conducting experiments at the Giga-Z $(10^{9}$ $(10^{9}$ of Z bosons) and Tera-Z $(10^{12}$ $(10^{12}$ of Z bosons) phases, which may probe the aforesaid rare decay processes, thus the model as well. These unconventional yet complementary searches offer different routes to explore the supersymmetric models with extended Higgs sectors like NMSSM.

© The Author(s) 2024

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