Interacting new holographic dark energy in dynamical Chern-Simons modified gravity

In this paper, we explore various cosmological parameters (equation of state, squared speed of sound, Om-diagnostic) and cosmological planes (\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\omega_{\vartheta}$\end{document} - \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \omega_{\vartheta}^{\prime}$\end{document}, where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\omega_{\vartheta}^{\prime}$\end{document} is the evolutionary equation of state parameter, statefinder). We consider the framework of dynamical Chern-Simons modified gravity with the new holographic dark energy model. It is observed that the equation of state parameter gives consistent ranges by using different observational schemes. We check the stability of the model using the squared speed of sound. In the present scenario, the squared speed of sound shows a stable solution. The \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \omega_{\vartheta}$\end{document} - \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \omega_{\vartheta}^{\prime}$\end{document} and statefinder planes also present consistent results. We would like to mention here that our results of cosmological parameters show consistency with previous different observational data like Planck, H0, SNLS and WMAP.