\begin{document}$ \cos2\phi $\end{document} azimuthal asymmetry in doubly longitudinally polarized proton-proton Drell-Yan collisions within the transverse momentum dependent factorization framework. The asymmetry arises from the convolution of the longitudinal transversity distribution \begin{document}$ h_{1L}^{\perp} $\end{document} for both protons. Using the Bacchetta-Delcarro-Pisano-Radici-Signori parameterization for the nonperturbative Sudakov form factor and the Wandzura-Wilczek approximation for collinear \begin{document}$ h_{1L}^{\perp} $\end{document}, we predict the double spin asymmetry \begin{document}$ A_{LL}^{\cos2\phi} $\end{document} at RHIC and NICA kinematics. Our results demonstrate sensitivity to sea quark distributions, with the asymmetry reaching up to 25% for maximal sea quark contributions. These predictions highlight the potential of polarized Drell-Yan measurements to probe sea quark dynamics and advance our understanding of nucleon structures."> Asymmetry <inline-formula><tex-math id="Z-20250707153050">\begin{document}${{\boldsymbol A}_{\boldsymbol{LL}}^{\bf\cos2\boldsymbol\phi}} $\end{document}</tex-math><alternatives><graphic specific-use="online" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/cf28ee9b-8e62-4b6c-881d-9f7fe1fb88b7/CPC-2025-0218_Z-20250707153050.jpg"/><graphic specific-use="print" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/cf28ee9b-8e62-4b6c-881d-9f7fe1fb88b7/CPC-2025-0218_Z-20250707153050.png"/></alternatives></inline-formula> in the polarized proton-proton Drell-Yan process within TMD factorization -
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