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Using a careful choice of infrared (IR) subtraction scheme, we demonstratethe cancellation of all terms with transcendental weights 0,1,2 from the finitepart of the full-color two-loop four-gluon $\mathcal{N}=2$ supersymmetric QCDamplitude, with $N_f$ massless supersymmetric quarks. This generalizes thepreviously observed cancellation of weight-2 terms in the superconformaltheory, where $N_f=2N_c$ for gauge group SU$(N_c)$. The subtraction schemefollows naturally both from general IR factorization principles and from anintegrand-level analysis of divergences in this amplitude. The divergences arewritten in terms of scalar triangle integrals whose expressions are known toall orders in the dimensional regulator $\epsilon=(4-D)/2$. We also presentintegrated expressions for the full-color two-loop four-point amplitudes withboth matter and vectors on external legs in which lower-weight terms alsocancel using an appropriate IR scheme. This provides us with values for thetwo-loop cusp, gluonic, and quark anomalous dimensions in $\mathcal{N}=2$supersymmetric QCD, which are cross-checked between the three differentamplitudes.

Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes