Grassmannians and form factors with $q^2=0$ in N=4 SYM theory

Abstract

We consider tree level form factors of operators from stress tensor operator supermultiplet with light-like operator momentum $q^2=0$. 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 $\mbox{MHV}$ and $\mbox{N}^{k-2}\mbox{MHV}$, $k\ge 3$ 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.

46 pages, 16 figures; v2: minor changes, typos corrected, references added

References in corpus (12)

• Form factors at strong coupling via a Y-system
• Form Factors in N=4 Super Yang-Mills and Periodic Wilson Loops
• S@M, a Mathematica Implementation of the Spinor-Helicity Formalism
• The Yangian origin of the Grassmannian integral
• On form factors in N=4 sym
• The last of the simple remainders
• Harmonic R-matrices for Scattering Amplitudes and Spectral Regularization
• Amplitudes, Form Factors and the Dilatation Operator in $\mathcal{N}=4$ SYM Theory
• The Amplituhedron from Momentum Twistor Diagrams
• Grassmannians for scattering amplitudes in 4d $\mathcal{N}=4$ SYM and 3d ABJM
• Deformed one-loop amplitudes in N = 4 super-Yang-Mills theory
• Soft Theorem of N=4 SYM in Grassmannian Formulation

Cited by in corpus (6)

• Two-Loop SL(2) Form Factors and Maximal Transcendentality
• Full-color three-loop three-point form factors in N=4 SYM
• Form factor recursion relations at loop level
• A note on NMHV form factors from the Graßmannian and the twistor string
• Form factors from string amplitudes
• Analytic two-Loop four-point form factor of the stress-tensor supermultiplet in $\mathcal{N}=4$ SYM