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.
Sen, Asymptotic Behavior of the Wide Angle On-Shell Quark Scattering Amplitudes in Nonabelian Gauge Theories , Phys
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Off-shell form factor: factorization is violated
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.