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Abstract
We study twototwo parton scattering amplitudes in the highenergy limit of perturbative QCD by iteratively solving the BFKL equation. This allows us to predict the imaginary part of the amplitude to leadinglogarithmic order for arbitrary tchannel 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 twoReggeon 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 singlevalued harmonic polylogarithms of uniform weight. By combining the two we determine exactly both infrareddivergent and finite contributions to the twototwo scattering amplitude orderbyorder 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 tchannel exchange.
Original language  English 

Article number  116 
Journal  Journal of High Energy Physics 
DOIs  
Publication status  Published  25 Aug 2020 
Keywords
 hepph
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 1 Finished

Particle Theory at the Higgs Centre
Ball, R., Boyle, P., Del Debbio, L., Gardi, E., Horsley, R., Kennedy, A., O'Connell, D., Smillie, J. & Zwicky, R.
1/10/17 → 30/09/21
Project: Research