Single-soft emissions for amplitudes with two colored particles at three loops

2023/09/14 by Herzog, Franz, Ma, Yao, Mistlberger, Bernhard +1 · 2 citations
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2309.07884

Abstract

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 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 (N⁴LO) in perturbative QCD in the threshold limit.

Cited by

• Non-abelian soft radiation data for a celestial theory
• Subleading Color Corrections at Three Loops to the tr(ϕ²) Three-Point Form Factor in N = 4 Super Yang-Mills Theory

Related

• Double soft current at one-loop in QCD
• Tree-level soft emission for two pairs of quarks
• Triple (and quadruple) soft-gluon radiation in QCD hard scattering
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• Three-Loop QCD corrections to the production of a Higgs boson and a Jet