Astrophysical Limits on Gravitino Mass

Abstract

We calculate exotic cooling rates of stars due to photo-production of light particles (mostly scalars and pseudoscalars) which originate from the hidden sector of no scale supergravity theories. Using this we can restrict the gravitino mass $m_{3/2}$. The range of eliminated values of $m_{3/2}$ stretches over six orders of magnitude and is given by $2\times 10^8<\frac{m_{\tilde{g}}}{m_{3/2}}<6\times 10^{13}$, $m_{\tilde{g}}$ being the gluino mass. Combining our result with the earlier analysis from colliders ($\frac{m_{\tilde{g}}}{m_{3/2}}<2.7\times 10^{14}$) we conclude that $\frac{m_{\tilde{g}}}{m_{3/2}}<\mathcal{O}(10^8)$ except for a narrow window around $10^{14}$. Together with the current experimental limit on $m_{\tilde{g}}$ and cosmological constraints on $m_{3/2}$, albeit model dependent, our analysis shows that a light gravitino is on the verge of being ruled out.

14 pages in Latex,PRL-TH-94/18

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