We calculate the two-loop heavy quarkonium Hamiltonian within potential-nonrelativistic-QCD effective field theory in the nonannihilation channel. This calculation represents the first nontrivial step toward determining the N^{4}LO Hamiltonian in the weak coupling regime. The large amount of computation is systematically handled by employing the β expansion, differential equations for master integrals, and adopting a single-step matching procedure, in contrast to the conventional two-step approach.
View Article and Find Full Text PDFMixing of two fluids can lead to the formation of a precipitate. If one of the fluids is injected into a confined space filled with the other, then a created precipitate disrupts the flow locally and forms complex spatiotemporal patterns. The relevance of controlling these patterns has been highlighted in the engineering and geological contexts.
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