Renormalization group and relations between scattering amplitudes in a theory with different mass scales

Details Renormalization group and relations between scattering amplitudes in a theory with different mass scales Renormalization group and relations between scattering amplitudes in a theory with different mass scales

1998-11-10

arxiv.org/abs/hep-ph/9811286v1

Phys.Atom.Nucl. 63 (2000) 139-143; Yad.Fiz. 63N1 (2000) 152-157

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 2 figures, LaTeX

Scientific paper

10.1134/1.855613

In the Yukawa model with two different mass scales the renormalization group equation is used to obtain relations between scattering amplitudes at low energies. Considering fermion-fermion scattering as an example, a basic one-loop renormalization group relation is derived which gives possibility to reduce the problem to the scattering of light particles on the "external field" substituting a heavy virtual state. Applications of the results to problems of searching new physics beyond the Standard Model are discussed.

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