MSSM Higgs bosons at a future linear collider. Heavy quark production at HERA

We study the potential of the future e + e - linear collider operated at a center-of-mass energy of 500 to 1000 GeV for the measurement of the neutral Higgs boson properties within the framework of the MSSM. The process of associated Higgs boson production with subsequent decays of Higgs bosons into b-quarks is considered. An integrated luminosity of 500 fb -1 is assumed at each energy. The Higgs boson masses and production cross sections are measured by reconstructing the $\mathrm{b\bar{b}b\bar{b}}$ final state. The precision of these measurements, depending on the Higgs boson masses, is evaluated. Under the assumed experimental conditions, a statistical accuracy ranging from 0.1 to 1.0 GeV is achievable on the Higgs boson mass. The topological cross section $\mathrm{\sigma(e^ + e^- \rightarrow HA\rightarrow b\bar{b}b\bar{b})}$ can be determined with the relative precision of 1.5-6.6 %. The 5$\sigma$ discovery limit corresponds to the Higgs mass of around 385 GeV for the degenerate Higgs boson masses in the $\mathrm{HA\to b\bar{b}b\bar{b}}$ channel at $\sqrt{s}$ = 800 GeV with integrated luminosity of 500 fb-1. The potential of the Higgs mass determination for the benchmark point SPS 1a for the process $\mathrm{HA\to b\bar{b}b\bar{b}}$ at $\sqrt{s}$ = 1 TeV and luminosity 1000 fb-1 is investigated. The possibility of parameter measurements in a CP-violating MSSM scenario is shown. In the second part the inclusive method of charm and beauty cross section measurements in e + p collisions at H1 experiment for values of Q2 > 12 GeV2 is explained. Preliminary plots are shown