Parallel Session 2 Collider Phenomenology (SUSY) Title: Measurement of Dark Matter Relic Density in the mSUGRA Co-annihilation Region at the LHC Abstract: We examine the stau-neutralino co-annihilation (CA) mechanism of the early universe using the minimal supergravity (mSUGRA) model at the LHC. The CA region is one of four distinct regions picked out by the cold dark matter constraints and where both m_0 and m_1/2 can be small after all experimental constraints such as measurements of the b --> s gamma decay branching ratio and the muon g-2 are included. The sigral in the CA region is characterized by a small mass difference (~5-15 GeV) between the lightest stau and the lightest neutralino. An accurate measurement of the small mass difference at a collider is crucial to confirm the CA mechanism. From measurements at the LHC we show one can predict the dark matter relic density with an uncertainty of 4% (6%) with 70 (30) fb-1 of data, which is comparable to the direct measurement by WMAP. This is done by measuring four mSUGRA parameters m0, m1/2, A0 and tanB in the CA region without requiring direct measurements of the stop and sbottom masses. We also provide precision measurements of the gaugino, squark, and lighter stau masses without the mSUGRA assumption. This allows us to test the gaugino universality condition at the GUT scale in this CA region. Comments: This talk is based on the following papers: arXiv:0802.2968v1 [hep-ph]; Phys. Lett. B649 (2007) 73; Phys. Lett. B639 (2006) 46. Co-authors: Prof. ARNOWITT, Richard (Texas A&M University) Prof. DUTTA, Bhaskar (Texas A&M University) Prof. KAMON, Teruki(Texas A&M University) Prof. TOBACK, David (Texas A&M University) Mr. KRISLOCK, Abram (Texas A&M University) Mr. GURROLA, Alfredo (Texas A&M University)