Primordial trispectrum and orthogonal non-Gaussianities

Conclusion• Data analysis of the trispectrum has received much lessattention than the bispectrum. Until recently, nocounterpart to orthogonal bispectrum.• We have shown that the simple ‘equilateral’ ansatz usedto represent trispectra from derivative operators is notenough: qualitatively new ‘orthogonal-type’ trispectra aregenerated in a substantial fraction of parameter space inthe simplest theoretical context. Current constraints aremostly blind to them. Need for dedicated data analysis.• See 1303.2618 for a discussion of the trispectrum in thecase of DBI-Galileon inflation, which can generate abispectrum of orthogonal shape.