A note on NMHV form factors from the Graßmannian and the twistor string
Abstract
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.
Additional Information
© 2017 The Author(s). This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Received: August 2, 2017. Accepted: August 13, 2017. Published: September 6, 2017. We would like to thank Andi Brandhuber, Ed Hughes, Rodolfo Panerai, Gregor Richter, Matthias Staudacher, Gabriele Travaglini and especially Matthias Wilhelm for very interesting discussions. We thank L.V. Bork and A.I. Onishchenko for clarifying various points regarding their recent work [33]. DM received support from GK 1504 \Masse, Spektrum, Symmetrie". The work of BP was supported by the ERC starting grant 637019 \MathAm". The work of CW was supported in part by a DOE Early Career Award under Grant No. DE-SC0010255. DN is supported by the STFC consolidated grant "Particle Physics at the Higgs Centre", by the National Science Foundation. BP would like to thank Humboldt University of Berlin, where part of this work was accomplished. DN and CW would like to thank the support and hospitality of the KITP program "Scattering Amplitudes and Beyond" at UCSB, where last stages of this work were carried out. DN and CW's research was supported in part by the NSF under Grant No. NSF PHY-1125915. DN would also like to thank Walter Burke ITP at Caltech and QMAP at UC Davis for hospitality during final stages of this work.Attached Files
Published - 10.1007_2FJHEP09_2017_024.pdf
Submitted - 1707.00443.pdf
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Additional details
- Eprint ID
- 81257
- Resolver ID
- CaltechAUTHORS:20170908-081059350
- 637019
- European Research Council (ERC)
- DE-SC0010255
- Department of Energy (DOE)
- Science and Technology Facilities Council (STFC)
- PHY-1125915
- NSF
- Walter Burke Institute for Theoretical Physics, Caltech
- Created
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2017-09-08Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field
- Caltech groups
- Walter Burke Institute for Theoretical Physics