Goldstino Decoupling in Spontaneously Broken Supergravity Theories

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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13 pages, RevTex, 4 figures; References added, version to be published in Nucl. Phys. B

Scientific paper

10.1016/S0550-3213(96)00608-6

If the gravitino is sufficiently light and stable it will behave as an effective massless neutrino species at the time of nucleosynthesis. Depending on the temperature at which it decouples from the thermal bath in the early universe, the gravitino mass will be bounded by the primordial $^4$He abundance. Assuming a conservative estimate that the number of neutrino families, $N_\nu < 3.6$, superlight gravitinos with a mass $m_{3/2} \lesssim 10^{-6}$eV are ruled out. This bound is weaker than previous estimates because the Goldstino annihilation cross section was overestimated.

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