Precision physics of heavy quarks in the LHC era

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We proposed the "weight function method" developed for precise measurements of particle's properties at LHC experiments. The advantages are as follows: (1)Only the energy distribution of a lepton included in the decay products is used, hence dependence on uncertainties of hadronization models and intial-state radiations is low; (2)Ideally the method is independent of particle's velocity distribution, hence effects of uncertainties in parton distribution functions and initial-state radiation are low. We first showed applicability of the method to the Higgs mass determination. Now we are developing method for reconstructing the top quark mass.We also developed algorithms for computing higher-order radiative corrections. As an application, we completed computation of the next-to-next-to-next-to-leading order corrections to the heavy quarkonium spectrum.