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Master Integrals for Massless Three-Loop Form Factors: One-Loop and Two-Loop Insertions

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arxiv hep-ph/0607185 v1 pith:EB6B3CHH submitted 2006-07-17 hep-ph

classification hep-ph
keywords integralsmasterformone-loopthree-looptwo-loopfactorsinsertion
verification ladder T0 review T1 audit T2 compute T3 formal
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The three-loop form factors in massless QCD can be expressed as a linear combination of master integrals. Besides a number of master integrals which factorise into products of one-loop and two-loop integrals, one finds 16 genuine three-loop integrals. Of these, six have the form of a bubble insertion inside a one-loop or two-loop vertex integral. We compute all master integrals with these insertion topologies.

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  1. Off-shell form factor: factorization is violated

    hep-th 2025-05 conditional novelty 7.0 of 10

    At three loops, the off-shell Sudakov form factor in N=4 super Yang-Mills on the Coulomb branch violates multiplicative hard-collinear-ultrasoft factorization, with collinear and ultrasoft modes intertwined.

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