The connected prescription for form factors in twistor space

Abstract

We propose a connected prescription formula in twistor space for all tree-level form factors of the stress tensor multiplet operator in $\mathcal{N}=4$ super Yang-Mills, which is a generalisation of the expression of Roiban, Spradlin and Volovich for superamplitudes. By introducing link variables, we show that our formula is identical to the recently proposed four-dimensional scattering equations for form factors. Similarly to the case of amplitudes, the link representation of form factors is shown to be directly related to BCFW recursion relations, and is considerably more tractable than the scattering equations. We also discuss how our results are related to a recent Grassmannian formulation of form factors, and comment on a possible derivation of our formula from ambitwistor strings.

arXiv comment16 pages, 3 figures

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Cited by in corpus (23)

• A Three-Point Form Factor Through Five Loops
• The Sudakov form factor at four loops in maximal super Yang-Mills theory
• Two-Loop SL(2) Form Factors and Maximal Transcendentality
• Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality
• Scattering Equations: Real Solutions and Particles on a Line
• From 4d Ambitwistor Strings to On Shell Diagrams and Back
• Dual conformal invariance for form factors
• Full-color three-loop three-point form factors in N=4 SYM
• On Form Factors and Correlation Functions in Twistor Space
• Form factor recursion relations at loop level
• Four dimensional ambitwistor strings and form factors of local and Wilson line operators
• Double Copy of Form Factors and Higgs Amplitudes: A mechanism of turning spurious poles in Yang-Mills into physical poles in gravity
• Twistor fishnets
• A Monte Carlo Approach to the 4D Scattering Equations
• The all-loop conjecture for integrands of reggeon amplitudes in N=4 SYM
• Space-time CFTs from the Riemann sphere
• Grassmannian Integral for General Gauge Invariant Off-shell Amplitudes in N=4 SYM
• Bootstrapping solutions of scattering equations
• CHY formulae in 4d
• Double copy for tree-level form factors. Part II. Generalizations and special topics
• A note on NMHV form factors from the Graßmannian and the twistor string
• New relations for tree-level form factors and scattering amplitudes
• Analytic two-Loop four-point form factor of the stress-tensor supermultiplet in $\mathcal{N}=4$ SYM