A note on connected formula for form factors

Abstract

In this note we study the connected prescription, originally derived from Witten's twistor string theory, for tree-level form factors in $\mathcal{N}=4$ super-Yang-Mills theory. The construction is based on the recently proposed four-dimensional scattering equations with $n$ massless on-shell states and one off-shell state, which we expect to work for form factors of general operators. To illustrate the universality of the prescription, we propose compact formulas for super form factors with chiral stress-tensor multiplet operator, and bosonic ones with scalar operators $\mathrm{Tr}({\varphi }^m)$ for arbitrary $m$.

13 pages

References in corpus (13)

• Einstein-Yang-Mills Scattering Amplitudes From Scattering Equations
• Form factors at strong coupling via a Y-system
• Ambitwistor strings in 4-dimensions
• Form Factors in N=4 Super Yang-Mills and Periodic Wilson Loops
• Gravity from Rational Curves
• Two-Loop Scattering Amplitudes from the Riemann Sphere
• On form factors in N=4 sym
• The last of the simple remainders
• Twistor Strings for N=8 Supergravity
• Amplitudes, Form Factors and the Dilatation Operator in $\mathcal{N}=4$ SYM Theory
• A "Twistor String" Inspired Formula For Tree-Level Scattering Amplitudes in N=8 SUGRA
• Correlation functions of local composite operators from generalized unitarity
• Correlation functions of the chiral stress-tensor multiplet in N=4 SYM

Cited by in corpus (2)

• New Formulas for Amplitudes from Higher-Dimensional Operators
• Two-Loop SL(2) Form Factors and Maximal Transcendentality