  We explain some details of the construction of composite operators in N=4 SYM
that we have elaborated earlier in the context of Lorentz harmonic chiral (LHC)
superspace. We give a step-by-step elementary derivation and show that the
result coincides with the recent hypothesis put forward in arXiv:1603.04471
within the twistor approach. We provide the appropriate LHC-to-twistors
dictionary.
