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Two-Loop Spacelike Splitting Amplitude for N=4 Super-Yang-Mills Theory
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The study of collinear behavior for gauge theories in the spacelike region is of great phenomenological and theoretical importance. We analytically calculate the two-loop spacelike splitting amplitude for the full color N=4 Super-Yang-Mills theory. The result is derived by two complementary methods starting from the known amplitude: one is based on a discontinuity analysis, while the other one is based on analytic continuation. Our result explicitly shows terms that violate naive factorization. However we show that factorization is restored at the level of color-summed unpolarized squared amplitudes at next-to-next-to-next-to leading order. We conjecture that the two-loop tripole terms in the generalized splitting amplitudes in QCD are identical to what we obtain in N=4 super Yang-Mills theory.
Forward citations
Cited by 2 Pith papers
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Top-associated Higgs-boson production using perturbative fragmentation functions at next-to-leading-order
Perturbative fragmentation functions reproduce the leading top-mass dependence of the exact NLO ttH cross section in the hybrid prescription at LHC energies.
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Top-associated Higgs-boson production using perturbative fragmentation functions at next-to-leading-order
Perturbative fragmentation functions approximate ttH production at NLO and yield reliable results in the hybrid prescription at LHC energies.
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