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The B physics programme of the ATLAS experiment includes measurements of production cross sections, searches for rare B-decay signatures which are sensitive to new physics at the TeV energy scale and studies of CP violation effects in B-events, such as B_s^0→ J/ψϕ and B_d^0→ J/ψ K_s^0. The key to the detection of these B signals in ATLAS is to achieve a high trigger efficiency for low-p_T di-muon events, whilst keeping an acceptable trigger rate. ATLAS developed two separate approaches fordoi:10.1051/epjconf/20122812037 fatcat:uw5zhhzcmjakthcg6gjhhmdqcm