Grassmannians and form factors with q²=0 in N=4 SYM theory

In this paper we consider tree level form factors of operators from stress tensor operator supermultiplet with light-like operator momentum q²=0. We present a conjecture for the Grassmannian integral representation both for these tree level form factors as well as for leading singularities of their loop counterparts. The presented conjecture was successfully checked by reproducing several known answers in MHV and N^k−2MHV, k≥3 sectors together with appropriate soft limits. We also discuss the cancellation of spurious poles and relations between different BCFW representations for such form factors on simple examples.