SN1987A cooling due to Plasmon-Plasmon scattering in the Randall-Sundrum Model

The light braneworld radion, stabilized via the Goldberger-Wise mechanism in the Randall-Sundrum model, can be produced copiously inside the supernova core due to plasmon-plasmon annihilations. The radion, thus produced, subsequently decays to a neutrino-antineutrino pair and takes away the energy released in the SN1987A explosion. Assuming that the supernovae cooling rate for any new physics channel(Raffelt’s criterion) $\dot{\epsilon }({\gamma }_P{\gamma }_P{\nu }_{\tau }{\bar{\nu }}_{\tau })\le 7.288\times {10}^{-27}\mathrm{G}\mathrm{e}\mathrm{V}$, we find the lower bound on the radion vacuum expectation value $⟨\phi ⟩\sim 3$~TeV for $m_{\phi }=30$ MeV corresponding to the deformation parameter $q=1.17$ in the Tsallis statistics formalism. In the scenario with $q=1$, we find $⟨\phi ⟩=178$ GeV for $m_{\phi }=30$ MeV.