Searching the anomalous electromagnetic and weak dipole moments of the top quark at the bestest little Higgs model

E. Cruz-Albaro; A. Gutiérrez-Rodríguez; M. A. Hernández-Ruíz; T. Cisneros-Pérez

doi:10.1140/epjp/s13360-023-04125-8

2023 Impact factor 2.8

EPJ PLUS - Condensed Matter and Complex Systems

Eur. Phys. J. Plus (2023) 138: 506
https://doi.org/10.1140/epjp/s13360-023-04125-8

Regular Article

Searching the anomalous electromagnetic and weak dipole moments of the top quark at the bestest little Higgs model

E. Cruz-Albaro¹^a, A. Gutiérrez-Rodríguez¹, M. A. Hernández-Ruíz² and T. Cisneros-Pérez²

¹ Facultad de Física, Universidad Autónoma de Zacatecas, Apartado Postal C-580, 98060, Zacatecas, Mexico
² Unidad Académica de Ciencias Químicas, Universidad Autónoma de Zacatecas, Apartado Postal C-585, 98060, Zacatecas, Mexico

^a elicruzalbaro88@gmail.com

Received: 9 March 2023
Accepted: 19 May 2023
Published online: 7 June 2023

Abstract

In this paper, using a bestest little Higgs model (BLHM) approach, we obtain bounds on the top quark electromagnetic and weak dipole moments. These physical observables are sensitive to quantum corrections induced by virtual particles at the one-loop level. The contributions of the virtual particles are obtained from the vertices of scalar bosons, vector bosons, and heavy quarks: $t q_{i} S_{i}$ $$tq_iS_i$$ , $S_{i} = h_{0}, H_{0}, A_{0}, ϕ^{0}, η^{0}, σ, H^{\pm}, ϕ^{\pm}, η^{\pm}$ $S_i=h_0, H_0, A_0, \phi ^{0}, \eta ^{0}, \sigma , H^{\pm }, \phi ^{\pm }, \eta ^{\pm }$ ; $t q_{i} V_{i}$ $$tq_iV_i$$ , $V_{i} = γ, Z, W, Z^{'}, W^{'}$ $V_i= \gamma , Z, W, Z', W'$ ; $V q_{i} {\bar{q}}_{i}$ $V q_i{{\bar{q}}}_i$ , $V = γ, Z$ $V=\gamma ,Z$ , $q_{i} = b, t, B, T, T_{5}, T_{6}, T^{2 / 3}, T^{5 / 3}$ $q_i=b, t, B, T, T_5, T_6, T^{2/3}, T^{5/3}$ ; $V W_{i}^{-} Φ_{i}^{+}$ $V W^{-}_{i}\Phi ^{+}_i$ , $W_{i} \equiv W, W^{'}$ $W_{i} \equiv W, W'$ , $Φ_{i}^{\pm} = ϕ^{\pm}, η^{\pm}$ $\Phi ^{\pm }_{i}= \phi ^{\pm }, \eta ^{\pm }$ ; $Z Z H_{i}$ $$ZZH_i$$ , $H_{i} = h_{0}, H_{0}$ $$H_i=h_0, H_0$$ ; $Z Z^{'} H_{i}$ $$ZZ' H_i$$ ; and $V W^{'} W^{'}$ $$VW'W'$$ . With these new contributions, we evaluated the electroweak dipole moments $a_{t}$ $$a_t$$ , $a_{t}^{W}$ $a^{W}_t$ , $d_{t}$ $$d_t$$ and $d_{t}^{W}$ $d^{W}_{t}$ of the top quark in the diagonalization schemes $y_{2} > y_{3}$ $$y_2 > y_3$$ and $y_{2} < y_{3}$ $$y_2 < y_3$$ to the Yukawa couplings. For the BLHM parameters, we choose the following values of $m_{A_{0}} = 1000$ $m_{A_0}= 1000$ GeV, $m_{η^{0}} = 100$ $m_{\eta ^0}= 100$ GeV, $f = [1000, 3000]$ $$f=[1000, 3000]$$ GeV, $F = [3000, 6000]$ $$F=[3000, 6000]$$ GeV and $tan β = 3$ $\tan \beta =3$ , which give the best sensitivity on the electroweak dipole moments of the top quark in this context: $a_{t} = 1.39 \times 10^{- 4} + i 6.55 \times 10^{- 5}$ $a_t=1.39 \times 10^{-4} + i\, 6.55 \times 10^{-5}$ ; $a_{t}^{W} = 6.31 \times 10^{- 5} - i 1.39 \times 10^{- 5}$ $a^{W}_t=6.31 \times 10^{-5} - i\, 1.39 \times 10^{-5}$ for the $y_{2} > y_{3}$ $$y_2 > y_3$$ scenario, while $a_{t} = 2.12 \times 10^{- 4} + i 4.49 \times 10^{- 5}$ $a_t= 2.12 \times 10^{-4} + i\, 4.49 \times 10^{-5}$ ; $a_{t}^{W} = 2.13 \times 10^{- 4} - i 1.34 \times 10^{- 5}$ $a^{W}_t= 2.13 \times 10^{-4} - i\, 1.34 \times 10^{-5}$ for the $y_{2} < y_{3}$ $$y_2 < y_3$$ scenario.

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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

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Searching the anomalous electromagnetic and weak dipole moments of the top quark at the bestest little Higgs model

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