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This paper investigates the effects of parameters in the Bestest Little HiggsModel (BLHM) on rare flavor-changing decays of the top quark. As a result,flavor-changing phenomena are introduced in the BLHM for the first time. Inthis study, we incorporate new flavor mixing terms between the light quarks ofthe Standard Model (SM) and the fermions and bosons of the BLHM. We compute theone-loop contributions from the heavy quark $(B)$ and the heavy bosons$(W^{\prime\pm}, \phi^{\pm}, \eta^{\pm},H^{\pm})$. Our findings demonstratethat the branching ratios of decays $t\to qV$ and $t\to qh^0$, where $q=u,c$and $V=Z, \gamma, g $, exhibit improvements compared to their counterparts inthe SM, except for the gluon case. Moreover, we observe that the processes withhigher sensitivity are $Br(t\to cZ)\sim 10^{-5}$, $Br(t\to c\gamma)\sim10^{-6}$ and $Br(t \to ch^0) \sim 10^{-8}$ within the appropriate parameterspace.

Flavor-changing top quark rare decays in the Bestest Little Higgs Model