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One of the main channels which allows for a large rate of neutralino darkmatter annihilation in the early Universe is via the pseudoscalar HiggsA-resonance. In this case, the measured dark matter abundance can be obtainedin the minimal supergravity (mSUGRA) model when tan(beta)\sim 50 and2m_{\tz_1}\sim m_A. We investigate the reaction pp\to b\phi\to b\mu^+\mu^- +X(where \phi =A or H) at the CERN LHC where requiring the tag of a single b-jetallows for amplification of the signal-to-background ratio. The rare butobservable Higgs decay to muon pairs allows for a precise measurement of theHiggs boson mass and decay width. We evaluate signal and background usingCalcHEP, with muon energy smearing according to the CMS detector. We find thatthe Higgs width (\Gamma_A) can typically be determined with the accuracy up to\sim 8% (\sim 17%) for m_A\sim 400 (600) GeV assuming 10^3 fb^{-1} ofintegrated luminosity. Therefore, the pp\to b\phi\to b\mu^+\mu^- +X processprovides a unique possibility for direct \Gamma_A measurement at the LHC. Whilethe Higgs width is correlated with the parameter \tan\beta for a given value ofm_A, extracting \tan\beta is complicated by an overlap of the A and H peaks,radiative corrections to the b and \tau Yukawa couplings, and the possibilitythat SUSY decay modes of the Higgs may be open. In the case where a dileptonmass edge from \tz_2\to\ell^+\ell^-\tz_1 is visible, it should be possible totest the relation that 2m_{\tz_1}\sim m_A.

Exploring neutralino dark matter resonance annihilation via bA,bH -> b mu^+ mu^- at the LHC