Renormalization group and relations between scattering amplitudes in a theory with different mass scales |
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Authors: | A V Gulov V V Skalozub |
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Institution: | (1) Dniepropetrovsk State University, pr. Gagarina 72, Dniepropetrovsk, 320625, Ukraine |
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Abstract: | In the Yukawa model with two different mass scales, the renormalization group equation is used to obtain relations between scattering amplitudes at low energies. By considering fermion-fermion scattering as an example, a basic one-loop renormalization group relation is derived which gives the possibility to reduce the problem to the scattering of light particles in the “external field” substituting a heavy virtual state. Applications of the results to problems of searches for new physics beyond the Standard Model are discussed. |
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