Rational Terms in Theories with Matter
High Energy Physics - Theory
2011-02-08 v2
Abstract
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.
Cite
@article{arxiv.1003.5264,
title = {Rational Terms in Theories with Matter},
author = {Shailesh Lal and Suvrat Raju},
journal= {arXiv preprint arXiv:1003.5264},
year = {2011}
}
Comments
10+4 pages. (v2) typos corrected, references added