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arXiv · 2510.04914

High-Energy Evolution of Power-Suppressed Amplitudes

Maximilian Delto·Alexander Penin·Lorenzo Tancredi
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Abstract

We present a new class of evolution equations which govern the high-energy behavior of power-suppressed scattering amplitudes. The equations can be viewed as a renormalization group flow with respect to the relevant effective field theory cutoff. A distinct feature of the method is in the use of a multidimensional cutoff to separate the relevant scales in problems characterized by a complex factorization structure. By adjusting the renormalization group variables to the geometry of the effective theory modes, our method naturally extends to a broad spectrum of physical problems including massive, massless, small, and wide angle scattering. We present applications to the benchmark processes of electron-positron forward annihilation and light quark mediated Higgs boson production/decays.

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Maximilian Delto, Alexander Penin, Lorenzo Tancredi. 2025-10-06. High-Energy Evolution of Power-Suppressed Amplitudes. https://arxiv.org/abs/2510.04914

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