A note on NMHV form factors from the Graßmannian and the twistor string

• Main Authors: David Meidinger, Dhritiman Nandan, Brenda Penante, Congkao Wen
• Format: Article
• Language: English
• Published: SpringerOpen 2017-09-01
• Series: Journal of High Energy Physics
• Subjects: Duality in Gauge Field Theories; Scattering Amplitudes; Supersymmetric Gauge Theory
• Online Access: http://link.springer.com/article/10.1007/JHEP09(2017)024

Abstract In this note we investigate Graßmannian formulas for form factors of the chiral part of the stress-tensor multiplet in N = 4 $$ \mathcal{N}=4 $$ superconformal Yang-Mills theory. We present an all-n contour for the G(3, n + 2) Graßmannian integral of NMHV form factors derived from on-shell diagrams and the BCFW recursion relation. In addition, we study other G(3, n + 2) formulas obtained from the connected prescription introduced recently. We find a recursive expression for all n and study its properties. For n ≥ 6, our formula has the same recursive structure as its amplitude counterpart, making its soft behaviour manifest. Finally, we explore the connection between the two Graßmannian formulations, using the global residue theorem, and find that it is much more intricate compared to scattering amplitudes.