Rational Terms in Theories with Matter

Understand

We study rational remainders associated with gluon amplitudes in gauge theories coupled to matter in arbitrary representations.

• We find that these terms depend on only a small number of invariants of the matter-representation called indices.
• In particular, rational remainders can depend on the second and fourth order indices only.
• Using this, we find an infinite class of non-supersymmetric theories in which rational remainders vanish for gluon amplitudes.