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There have been numerous attempts, in the last decades, to understand theorigin of the unexpectedly large transverse single-spin asymmetry ($A_{N}$)observed in inclusive hadron productions at forward rapidities in transverselypolarized $p^{\uparrow}$+$p$ collisions at different center-of-mass energies($\sqrt{s}$). The current theoretical frameworks aimed at explaining thispuzzle include the twist-3 contributions in the collinear factorizationframework, as well as the transverse-momentum-dependent contributions from theinitial-state quark and gluon Sivers functions, and/or final-state Collinsfragmentation functions. Besides, there are indications that the diffractiveprocesses may contribute to the large $A_{N}$. We present the detailedinvestigations into the $A_{N}$ for electromagnetic jets (EM-jets) produced ininclusive processes using the Forward Meson Spectrometer with transverselypolarized $p^{\uparrow}$+ $p$ data at $\sqrt{s} =$ 200 GeV collected in 2015 atSTAR. We observe a negative value for the $A_{N}$ of EM-jets in diffractiveprocesses. This finding shows a different sign for $A_{N}$ in inclusiveprocesses and needs further theoretical input in order to be understood.Finally, we present the statistical projections of the $A_{N}$ for inclusiveand diffractive EM-jets utilizing $p^{\uparrow}$+ $p$ data at $\sqrt{s} =$ 510GeV collected in 2017 at STAR. This dataset allows for a substantialenhancement in statistical precision.

Transverse Single-Spin Asymmetry for Inclusive and Diffractive  Electromagnetic Jets at Forward Rapidity in $p^{\uparrow}$+p Collisions at  $\sqrt{s} = 200$ GeV and $510$ GeV at STAR