\begin{document}$ \Lambda_b \to \Lambda(\to p \pi^-) \ell ^+ \ell^- $\end{document} with \begin{document}$ \ell = (e, \mu, \tau) $\end{document}. We examine the full angular distributions with polarized \begin{document}$ \Lambda_b $\end{document}, where the T-odd observables are identified. We discuss the possible effects of new physics (NP) and find that the T-odd observables are sensitive to them as they vanish in the standard model. Special attention is given to the interference of (pseudo)scalar operators with (axial)vector operators in polarized \begin{document}$ \Lambda_b \to \Lambda(\to p \pi^-) \tau^+ \tau^- $\end{document}, which are studied for the first time. Their effects are proportional to the lepton masses and therefore may evade the constraint from \begin{document}$ \Lambda_b \to \Lambda(\to p \pi^-) \mu^+ \mu^- $\end{document} at the LHCb naturally. As \begin{document}$ \Lambda_b \to \Lambda(\to p \pi^-) \tau^+ \tau^- $\end{document} is uncontaminated by the charmonia resonance, it provides a clean background to probe NP. In addition, we show that the experimental central value of \begin{document}$ K_{10} $\end{document} in \begin{document}$ \Lambda_b \to \Lambda(\to p \pi^-) \mu^+ \mu^- $\end{document} at the LHCb can be explained by the NP case, which couples to the right-handed quarks and leptons. The polarization fraction of \begin{document}$ \Lambda_b $\end{document} at the LHCb is found to be consistent with zero regardless of the NP scenarios."> Time-reversal asymmetries in <inline-formula><tex-math id="M1">\begin{document}$ {\boldsymbol\Lambda_{\boldsymbol b} {\bf\to} {\boldsymbol\Lambda}{\bf (\to}{\boldsymbol p} \boldsymbol\pi^{\bf -}{\bf)}\boldsymbol\ell^{\bf +}\boldsymbol\ell^{\bf -} }$\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/20dccda6-fc24-495b-b0e1-8a13d4f559f4/CPC-2023-0459_M1.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/20dccda6-fc24-495b-b0e1-8a13d4f559f4/CPC-2023-0459_M1.png"/></alternatives></inline-formula> -
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