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arxiv: hep-ph/9612204 · v2 · submitted 1996-11-29 · ✦ hep-ph

Numerical analysis of renormalon technique in quantum mechanics

classification ✦ hep-ph
keywords modeldataenergymechanicsnonperturbativenumericalquantumtechnique
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We discuss the ways of extracting a low energy scale of an underlying theory using high energy scattering data. Within an exactly solvable model of quantum mechanics we analyze a technique based on introduction of nonperturbative power corrections accounting for asymptotically small terms and an alternative approach exploiting a modified running coupling constant of the model and nonperturbative continuation of evolution equations into an infrared region. Numerical estimates show that the latter is more efficient in approximating low-energy data of the model.

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