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Using density functional theory, we investigate the vibrational properties and polarization-resolved Raman spectra of α-PtO2 and obtain the Raman tensor and angle-dependent Raman intensity of α-PtO2. It is found that the polar plot of A1g mode in parallel polarization configuration is useful in identifying the orientation of the crystal. The Raman intensity of the Eg mode is about five times stronger than that of the A1g mode. The Raman intensity is about three times stronger when the wave vector of the incident light is in x or y direction than in z direction. Our work will help the material scientists to characterize the α-PtO2 and to identify its orientation by comparing the experimental spectra with our result.

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The type II seesaw leptogenesis simultaneously explains the origin of neutrino masses, the baryon asymmetry of our universe, and the inflation. The large hadron collider(LHC) provides an opportunity to directly test the type II seesaw leptogenesis by looking for the predicted triplet Higgs. In this paper, we perform an analysis of the detection prospect for the triplet Higgs at the LHC through the multi-lepton channels. We find that due to the contribution of pp → H ±± H ∓ process, the sensitivity of multi-lepton channels searching for the doubly-charged Higgs pair production can be improved. We also investigate the 3l + E miss T signals to probe the pp → H ±± H ∓ production and find that the future high luminosity LHC could probe a triplet Higgs around 1.2 TeV at 2σ level.