High-Energy Evolution of Power-Suppressed Amplitudes

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Abstract
We present a new class of evolution equations that 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 that include 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 and decays.
Funding Information
  • Deutsche Forschungsgemeinschaft (EXC-2094-390783311)
  • European Research Council
  • Horizon 2020 Framework Programme (949279)
  • Horizon 2020 Framework Programme (101044599)
  • Natural Sciences and Engineering Research Council of Canada
  • Institut Périmètre de physique théorique

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