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High-precision analyses of supersymmetry parameters aim at reconstructing the fundamental supersymmetric theory and its breaking mechanism. A well defined theoretical framework is needed when higher-order corrections are included. We propose such a scheme, Supersymmetry Parameter Analysis SPA, based on a consistent set of conventions and input parameters. A repository for computer programs is provided which connect parameters in different schemes and relate the Lagrangian parameters to physical observables at LHC and high energy e + e − linear collider experiments, i.e., masses, mixings, decay widths and production cross sections for supersymmetric particles. In addition, programs for calculating high-precision low energy observables, the density of cold dark matter (CDM) in the universe as well as the cross sections for CDM search experiments are included. The SPA scheme still requires extended efforts on both the theoretical and experimental side before data can be evaluated in the future at the level of the desired precision. We take here an initial step of testing the SPA scheme by applying the techniques involved to a specific supersymmetry reference point.

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We examine the lepton-specific 2HDM as a solution of muon g − 2 anomaly under various theoretical and experimental constraints, especially the direct search limits from the LHC and the requirement of a strong first-order phase transition in the early universe. We find that the muon g-2 anomaly can be explained in the region of 32 < tan β < 80, 10 GeV < m A < 65 GeV, 260GeV < m H < 620 GeV and 180 GeV < m H ± < 620 GeV after imposing the joint constraints from the theory, the precision electroweak data, the 125 GeV Higgs data, the leptonic/semi-hadronic τ decays, the leptonic Z decays and Br(B s → µ + µ − ). The direct searches from the h → AA channels can impose stringent upper limits on Br(h → AA) and the multi-lepton event searches can sizably reduce the allowed region of m A and tan β (10 GeV < m A < 44 GeV and 32 < tan β < 60). Finally, we find that the model can produce a strong first-order phase transition in the region of 14 GeV < m A < 25 GeV, 310 GeV < m H < 355 GeV and 250 GeV < m H ± < 295 GeV, allowed by the explanation of the muon g − 2 anomaly.