Abstract
We introduce a novel construction of a contour deformation within the framework of Loop-Tree Duality for the numerical computation of loop integrals featuring threshold singularities in momentum space. The functional form of our contour deformation automatically satisfies all constraints without the need for fine-tuning. We demonstrate that our construction is systematic and efficient by applying it to more than 100 examples of finite scalar integrals featuring up to six loops. We also showcase a first step towards handling non-integrable singularities by applying our work to one-loop infrared divergent scalar integrals and to the one-loop amplitude for the ordered production of two and three photons. This requires the combination of our contour deformation with local counterterms that regulate soft, collinear and ultraviolet divergences. This work is an important step towards computing higher-order corrections to relevant scattering cross-sections in a fully numerical fashion. Mehr anzeigen
Persistenter Link
https://doi.org/10.3929/ethz-b-000412424Publikationsstatus
publishedExterne Links
Zeitschrift / Serie
Journal of High Energy PhysicsBand
Seiten / Artikelnummer
Verlag
SpringerThema
Perturbative QCD; Scattering AmplitudesFörderung
179016 - Singlular structure of two-loop amplitudes and their numerical evaluation (SNF)