Infrared singularities of scattering amplitudes and NLL resummation for n-jet processes
Journal of High Energy Physics, ISSN: 1029-8479, Vol: 2020, Issue: 1
2020
- 43Citations
- 7Captures
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Article Description
We revisit the multi-loop structure of the anomalous-dimension matrix governing the infrared divergences of massless n-particle scattering amplitudes in non-abelian gauge theories. In particular, we derive its most general form at four-loop order, significantly simplifying corresponding expressions given previously. By carefully reevaluating the constraints imposed by two-particle collinear limits, we find that at four-loop order color structures involving dRabcd, the symmetrized trace of four group generators, appear along with cusp logarithms ln[μ/(−s)]. As a consequence, naive Casimir scaling of the cusp anomalous dimensions associated with the quark and gluon form factors is violated, while a generalized form of Casimir scaling still holds. Our results provide an important ingredient for resummations of large logarithms in n-jet cross sections with next-to-next-to-next-to leading logarithmic (NLL) accuracy.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85077623728&origin=inward; http://dx.doi.org/10.1007/jhep01(2020)025; https://link.springer.com/10.1007/JHEP01(2020)025; http://dx.doi.org/10.1007/jhep01%282020%29025; https://dx.doi.org/10.1007/jhep01%282020%29025; https://link.springer.com/article/10.1007/JHEP01(2020)025
Springer Science and Business Media LLC
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