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- W4285719985 abstract "We study two-to-two parton scattering amplitudes in the high-energy limit of perturbative QCD by iteratively solving the BFKL equation. This allows us to predict the imaginary part of the amplitude to leading-logarithmic order for arbitrary $t$-channel colour exchange. The corrections we compute correspond to ladder diagrams with any number of rungs formed between two Reggeized gluons. Our approach exploits a separation of the two-Reggeon wavefunction, performed directly in momentum space, between a soft region and a generic (hard) region. The former component of the wavefunction leads to infrared divergences in the amplitude and is therefore computed in dimensional regularization; the latter is computed directly in two transverse dimensions and is expressed in terms of single-valued harmonic polylogarithms of uniform weight. By combining the two we determine exactly both infrared-divergent and finite contributions to the two-to-two scattering amplitude order-by-order in perturbation theory. We study the result numerically to 13 loops and find that finite corrections to the amplitude have a finite radius of convergence which depends on the colour representation of the $t$-channel exchange." @default.
- W4285719985 created "2022-07-18" @default.
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- W4285719985 date "2020-06-01" @default.
- W4285719985 modified "2023-10-16" @default.
- W4285719985 title "Two-parton scattering amplitudes in the Regge limit to high loop orders" @default.
- W4285719985 doi "https://doi.org/10.48550/arxiv.2006.01267" @default.
- W4285719985 hasPublicationYear "2020" @default.
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