A216892 Number of unspecified amplitude coefficients in an n-particle supersymmetric Yang-Mills Lagrangian (with maximum helicity violation, 4 charges) on the three-loop level.

6, 17, 33, 63, 109, 178, 277

Offset

5,1

Comments

Taken from Table 2 of Golden and Spradin. The terms contributing to the three-loop basis are symmetrized over the allowed planar diagrams, but no constraint related to removal of UV divergencies has yet been added to fix some of the coefficients.

Links

Table of n, a(n) for n=5..11.

N. Arkani-Hamed, J. Bourjaily, F. Cachazo, and J. Trnka, Local integrals for planar scattering amplitudes, arXiv:1012.6032 [hep-th], 2010.

J. Golden and M. Spradin, Collinear and soft limits of multi-loop integrands in N=4 Yang-Mills, arXiv:1203.1915 [hep-th], 2012, Table 2.

Crossrefs

Cf. A006918 (Table 1).

Sequence in context: A301696 A301727 A038795 * A301711 A066486 A301719

Adjacent sequences: A216889 A216890 A216891 * A216893 A216894 A216895

Keyword

nonn,more

Author

R. J. Mathar, Sep 19 2012

Status

approved