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The clustering amplitude of 7143 clusters from the Sloan Digital Sky Survey(SDSS) is found to increase with cluster mass, closely agreeing with theGaussian random field hypothesis for structure formation. The amplitude of theobserved cluster correlation exceeds the predictions from pure cold dark matter(CDM) simulation by $\simeq 6\%$ for the standard Planck-based values of thecosmological parameters. We show that this excess can be naturally accountedfor by free streaming of light neutrinos, which opposes gravitational growth,so clusters formed at fixed mass are fewer and hence more biased than for apure CDM density field. An enhancement of the cluster bias by 7\% matches theobservations, corresponding to a total neutrino mass, $m_{\nu} = 0.119 \pm0.034$ eV at 67\% confidence level, for the standard relic neutrino density. Ifongoing laboratory experiments favor a normal neutrino mass hierarchy then wemay infer a somewhat larger total mass than the minimum oscillation basedvalue, $\sum m_{\nu} \simeq 0.056eV$, with 90\% confidence. Much higherprecision can be achieved by applying our method to a larger sample of moredistant clusters with weak lensing derived masses.

Evidence of Neutrino Enhanced Clustering in a Complete Sample of Sloan Survey Clusters, Implying $\sum m_{\nu}= 0.119 \pm 0.034$ eV