2010/03/31 by Shailesh Lal, Suvrat Raju
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1007/jhep08(2010)022
published as JHEP 1008:022,2010 · 10+4 pages. (v2) typos corrected, references added
arxiv created 2010/06/22 · arxiv updated 2011/02/08
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. This class includes all the "next-to-simplest" quantum field theories of arXiv:0910.0930. This provides new examples of amplitudes in which rational remainders vanish even though naive power counting would suggest their presence.