Single-soft emissions for amplitudes with two colored particles at three loops
- Resource Type
- Working Paper
- Authors
- Herzog, Franz; Ma, Yao; Mistlberger, Bernhard; Suresh, Adi
- Source
- Subject
- High Energy Physics - Phenomenology
High Energy Physics - Theory
- Language
We compute the three-loop correction to the universal single-soft emission current for the case of scattering amplitudes with two additional color-charged partons. We present results valid for QCD and $\mathcal{N}=4$ super-symmetric Yang-Mills theory. To achieve our results we develop a new integrand expansion technique for scattering amplitudes in the presence of soft emissions. Furthermore, we obtain contributions from single final-state parton matrix elements to the Higgs boson and Drell-Yan production cross section at next-to-next-to-next-to-next-to leading order (N$^4$LO) in perturbative QCD in the threshold limit.
Comment: 29 pages, 2 Figures