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Single-soft emissions for amplitudes with two colored particles at three loops
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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 $\mathcal{N}=4$ 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.
Forward citations
Cited by 4 Pith papers
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Dissecting Exclusive Multijet Cross Sections
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Non-abelian soft-emission data imply that celestial OPE coefficients depend on gluon energy fractions, breaking holomorphic factorization and associativity, while single-soft logarithms can be reabsorbed into the runn...
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Tree-level soft emission for two pairs of quarks
Two-pair soft quark current is derived at tree level, and its square reduces to double-dipole, dipole, and triple-color correlations.
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Identifying regions for asymptotic expansions of amplitudes: fundamentals and recent advances
A review of region identification in the method of regions, classifying regions into facet and hidden types and presenting recent all-loop results and conjectures.
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