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High-Energy Evolution of Power-Suppressed Amplitudes.
Maximilian Delto1, Alexander Penin2, Lorenzo Tancredi3
1CERN, Theoretical Physics Department, CH-1211 Geneva 23, Switzerland.
Physical Review Letters
|April 3, 2026
Summary
We developed new evolution equations for high-energy scattering amplitudes, acting as a renormalization group flow. This method uses a multidimensional cutoff for complex problems, applicable to various scattering types.
Area of Science:
- High-energy physics
- Quantum field theory
- Scattering amplitudes
Background:
- Understanding the high-energy behavior of scattering amplitudes is crucial in quantum field theory.
- Existing methods face challenges with complex factorization structures and scale separation.
Purpose of the Study:
- To introduce a novel class of evolution equations for power-suppressed scattering amplitudes.
- To provide a framework applicable to a wide range of scattering processes.
Main Methods:
- Developed evolution equations viewed as a renormalization group flow.
- Employed a multidimensional cutoff to separate relevant scales.
- Adjusted renormalization group variables to effective theory mode geometry.
Main Results:
- The proposed equations govern high-energy behavior of scattering amplitudes.
- The method effectively handles complex factorization structures.
- Demonstrated applicability to massive, massless, small, and wide-angle scattering.
Conclusions:
- The new evolution equations offer a versatile tool for high-energy physics.
- The multidimensional cutoff approach enhances scale separation in complex theories.
- Successfully applied to electron-positron annihilation and Higgs boson processes.
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