Numerical analysis of renormalon technique in quantum mechanics

Details Numerical analysis of renormalon technique in quantum mechanics Numerical analysis of renormalon technique in quantum mechanics

1996-11-29

arxiv.org/abs/hep-ph/9612204v2

Phys.Lett. B401 (1997) 294-300

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, Latex, the text is corrected according to the Phys.Lett.B referee comments

Scientific paper

10.1016/S0370-2693(97)00383-3

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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