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- M. Kono, N. Takahashi, M. Sakamoto
- 2003

This paper proposes a norm-type discrete algebraic Riccati Equation, which is a generalized version of the well-known standard discrete algebraic Riccati Equation, and has additional norm terms. Under stabilizability and assumption that the additional terms are not too large, the existence of a positive semi-definite solution is guaranteed. Application to… (More)

We calculate perturbative renormalization constants for the ∆B=2 four-quark operators in lattice NRQCD. Continuum operators ¯ bγ µ (1−γ 5)q ¯ bγ µ (1− γ 5)q and ¯ b(1 − γ 5)q ¯ b(1 − γ 5)q, which are necessary in evaluating the mass and width differences in B 0 d(s) − ¯ B 0 d(s) systems, are matched at one-loop with corresponding lattice operators… (More)

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