\begin{document}$\Delta^{\pm\pm}$\end{document} can also be produced through photon fusion along with the ultraperipheral collision of protons, from which the outgoing protons can be detected by forward detectors at the LHC, providing a promising means to explore related new physics. We study the pair production through such processes at the 14 TeV LHC, focusing on the final states of \begin{document}$\mu^{+}\mu^{+}\mu^{-}\mu^{-}$\end{document} and \begin{document}$e^{+}e^{+}e^{-}e^{-}$\end{document} under the normal hierarchy (NH) and inverted hierarchy (IH) of the neutrino mass spectra, respectively. Promising sensitivity can be reached via our proposed search strategy. At a luminosity of 36.1 fb-1(100 fb\begin{document}$^{-1}$\end{document}), \begin{document}$m_{\Delta}\sim430(520)$\end{document} GeV can be excluded at 95% C.L. under the NH via \begin{document}$\mu^{+}\mu^{+}\mu^{-}\mu^{-}$\end{document} state searching, while the mass bound can be extended to 730(880) GeV under the IH via \begin{document}$e^{+}e^{+}e^{-}e^{-}$\end{document} states. The exclusion limits on \begin{document}$m_{\Delta}$\end{document} can be improved up to 1 TeV and even higher with integrated luminosity accumulated to 3 ab\begin{document}$^{-1}$\end{document}."> Search for doubly charged scalars in type-II seesaw mechanism through photon fusion at the LHC -
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