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We examine the stau-neutralino coannihilation (CA) mechanism of the earlyuniverse. We use the minimal supergravity (mSUGRA) model and show that frommeasurements at the Large Hadron Collider one can predict the dark matter relicdensity with an uncertainty of 6% with 30 fb-1 of data, which is comparable tothe direct measurement by Wilkinson Microwave Anisotropy Probe. This is done bymeasuring four mSUGRA parameters m0, m1/2, A0 and tan(beta) without requiringdirect measurements of the top squark and bottom squark masses. We also provideprecision measurements of the gaugino, squark, and lighter stau masses in thisCA region without assuming gaugino universality.

Determining the Dark Matter Relic Density in the Minimal Supergravity Stau-Neutralino Coannihilation Region at the Large Hadron Collider