English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We study two-to-two parton scattering amplitudes in the high-energy limit ofperturbative QCD by iteratively solving the BFKL equation. This allows us topredict the imaginary part of the amplitude to leading-logarithmic order forarbitrary $t$-channel colour exchange. The corrections we compute correspond toladder diagrams with any number of rungs formed between two Reggeized gluons.Our approach exploits a separation of the two-Reggeon wavefunction, performeddirectly in momentum space, between a soft region and a generic (hard) region.The former component of the wavefunction leads to infrared divergences in theamplitude and is therefore computed in dimensional regularization; the latteris computed directly in two transverse dimensions and is expressed in terms ofsingle-valued harmonic polylogarithms of uniform weight. By combining the twowe determine exactly both infrared-divergent and finite contributions to thetwo-to-two scattering amplitude order-by-order in perturbation theory. We studythe result numerically to 13 loops and find that finite corrections to theamplitude have a finite radius of convergence which depends on the colourrepresentation of the $t$-channel exchange.

Two-parton scattering amplitudes in the Regge limit to high loop orders