Asymptotic Freedom of V-A Fermi Interaction
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866915804085223424 |
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| author | Borlakov, A. T. Kazakov, D. I. |
| author_facet | Borlakov, A. T. Kazakov, D. I. |
| contents | We consider the V-A Fermi interaction and apply an earlier developed method for summing up the leading asymptotics for scattering amplitudes in non-renormalizable theories. We consider the amplitude of fermion-antifermion scattering and derive the corresponding RG equation that sums the leading logarithmic contributions just like in renormalizable models. Numerical solution of this equation in the asymptotic regime $s\sim t\sim u \sim E^2 \to \infty$ leads to amplitude logarithmically decreasing with energy, thus restoring the unitarity violated at the tree level. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2602_16380 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Asymptotic Freedom of V-A Fermi Interaction Borlakov, A. T. Kazakov, D. I. High Energy Physics - Theory We consider the V-A Fermi interaction and apply an earlier developed method for summing up the leading asymptotics for scattering amplitudes in non-renormalizable theories. We consider the amplitude of fermion-antifermion scattering and derive the corresponding RG equation that sums the leading logarithmic contributions just like in renormalizable models. Numerical solution of this equation in the asymptotic regime $s\sim t\sim u \sim E^2 \to \infty$ leads to amplitude logarithmically decreasing with energy, thus restoring the unitarity violated at the tree level. |
| title | Asymptotic Freedom of V-A Fermi Interaction |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2602.16380 |