Searching the anomalous electromagnetic and weak dipole moments of the top-quark at the Bestest Little Higgs Model

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: $tq_iS_i$, $$S_i=h_0, H_0, A_0, \phi^{0}, \eta^{0}, \sigma, H^{\pm}, \phi^{\pm}, \eta<sup>{\pm}$$; $tq_iV_i$, $V_i= \gamma, Z, W, Z&#39;, W&#39;$; $V q_i\bar q_i$, $V=\gamma,Z$, $$q_i=b, t, B, T, T_5, T_6, T^{2/3}, T<sup>{5/3}$$; $V W^{{-}_{i}\Phi^{+}_i}$, $W_{i} \equiv W, W&#39;$, $$\Phi^{\pm}_{i}= \phi^{\pm}, \eta<sup>{\pm}$$; $ZZH_i$, $H_i=h_0, H_0$; $ZZ&#39; H_i$; and $VW&#39;W&#39;$. With these new contributions, we evaluated the electroweak dipole moments $a_t$, $a^{W}_t$, $d_t$ and $d^{W}_{t}$ of the top-quark in the diagonalization schemes $y_2 &gt; y_3$ and $y_2 &lt; y_3$ to the Yukawa couplings. For the BLHM parameters, we choose the following values of $m_{A_0}= 1000$ GeV, $m_{\eta^0}= 100$ GeV, $f=[1000, 3000]$ GeV, $F=[3000, 6000]$ GeV and $\tan\beta=3$, which give the best sensitivity on the electroweak dipole moments of the top-quark in this context: $$a_t=1.39 \times 10^{-4} + i\, 6.55 \times 10<sup>{-5}$$; $$a^{W}_t=6.31 \times 10^{-5} - i\, 1.39 \times 10<sup>{-5}$$ for the $y_2 &gt; y_3 $ scenario, while $$a_t= 2.12 \times 10^{-4} + i\, 4.49 \times 10<sup>{-5}$$; $$a^{W}_t= 2.13 \times 10^{-4} - i\, 1.34 \times 10<sup>{-5}$$ for the $y_2 &lt; y_3 $ scenario.