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In the Yukawa model with two different mass scales the renormalization groupequation is used to obtain relations between scattering amplitudes at lowenergies. Considering fermion-fermion scattering as an example, a basicone-loop renormalization group relation is derived which gives possibility toreduce the problem to the scattering of light particles on the "external field"substituting a heavy virtual state. Applications of the results to problems ofsearching new physics beyond the Standard Model are discussed.Comment: 10 pages, 2 figures, LaTe

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