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Title: A note on NMHV form factors from the GraĂźmannian and the twistor string

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2]; ORCiD logo [3];  [4]
  1. Humboldt Univ. of Berlin (Germany). Inst. of Mathematics. Inst. of Physics
  2. Univ. of Edinburgh, Scotland (United Kingdom). Higgs Centre for Theoretical Physics. School of Physics and Astronomy; Univ. of California, Santa Barbara, CA (United States). Kavli Inst. for Theoretical Physics
  3. European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theory Division
  4. California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics; Univ. of California, Los Angeles, CA (United States). Mani L. Bhaumik Inst. for Theoretical Physics. Dept. of Physics and Astronomy; Univ. of California, Santa Barbara, CA (United States). Kavli Inst. for Theoretical Physics

In this note we investigate Graßmannian formulas for form factors of the chiral part of the stress-tensor multiplet in 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.

Research Organization:
California Institute of Technology (CalTech), Pasadena, CA (United States); Univ. of Edinburgh, Scotland (United Kingdom)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF); European Research Council (ERC); Science and Technology Facilities Council (STFC) (United Kingdom)
Grant/Contract Number:
SC0010255; PHY-1125915; 637019
OSTI ID:
1424590
Journal Information:
Journal of High Energy Physics (Online), Vol. 2017, Issue 9; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English

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Cited By (4)

Dual conformal invariance for form factors journal February 2019
Four dimensional ambitwistor strings and form factors of local and Wilson line operators text January 2017
The Sudakov form factor at four loops in maximal super Yang-Mills theory text January 2017
Dual conformal invariance for form factors text January 2018

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