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Soft theorem to three loops in QCD and N = 4 super Yang-Mills theory.
- Source :
-
Journal of High Energy Physics . Jan2024, Vol. 2024 Issue 1, p1-31. 31p. - Publication Year :
- 2024
-
Abstract
- The soft theorem states that scattering amplitude in gauge theory with a soft gauge-boson emission can be factorized into a hard scattering amplitude and a soft factor. In this paper, we present calculations of the soft factor for processes involving two hard colored partons, up to three loops in QCD. To accomplish this, we developed a systematic method for recursively calculating relevant Feynman integrals using the Feynman-Parameter representation. Our results constitute an important ingredient for the subtraction of infrared singularities at N4LO in perturbative QCD. Using the principle of leading transcendentality between QCD and N = 4 super Yang-Mills theory, we determine the soft factor in the latter case to three loops with full-color dependence. As a by-product, we also obtain the finite constant f 2 3 in the Bern-Dixon-Smirnov ansatz analytically, which was previously known numerically only. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 11266708
- Volume :
- 2024
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of High Energy Physics
- Publication Type :
- Academic Journal
- Accession number :
- 175409446
- Full Text :
- https://doi.org/10.1007/JHEP01(2024)131