N=4 super-Yang-Mills NMHV loop amplitude in superspace

Here we construct N=4 super-Yang-Mills 6 point NMHV loop amplitude (amplitudes with three minus helicities) as a full superspace form, using the SU(4)R anti-commuting spinor variables. Amplitudes with different external particle and cyclic helicity ordering are then just a particular expansion of this fermionic variable. We have verified this by explicit expansion obtaining amplitudes with two gluinos calculated before. We give results for all gluino A(Λ−Λ−Λ−Λ+Λ+Λ+) and all scalar A(ϕϕϕϕϕϕ) scattering amplitudes. A discussion of using MHV vertex approach to obtain these amplitudes are given, which implies a possible simplification for general loop amplitudes.