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) $\dot{ \varepsilon}(\gamma_P\gamma_P \stackrel{ \phi}{ \longrightarrow} \nu_{ \tau} \overline{ \nu}_{ \tau}) \leq 7.288\times 10^{ -27} \rm{ GeV}$, we find the lower bound on the radion vacuum expectation value $\langle\phi\rangle \sim 3$~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 $\langle\phi\rangle = 178$ GeV for $m_\phi = 30$ MeV.
Categories: hep-ph