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

Meidinger, David; Nandan, Dhritiman; Penante, Brenda; Wen, Congkao

doi:10.1007/JHEP09(2017)024

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

Journal Article · 06 September 2017 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/JHEP09(2017)024 · OSTI ID:1424590

Meidinger, David ^[1]; Nandan, Dhritiman ^[2];

^[3]; Wen, Congkao ^[4]

Humboldt Univ. of Berlin (Germany). Inst. of Mathematics. Inst. of Physics
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
European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theory Division
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.

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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 Bianchi, Lorenzo; Brandhuber, Andreas; Panerai, Rodolfo Journal of High Energy Physics, Vol. 2019, Issue 2 https://doi.org/10.1007/jhep02(2019)134	journal	February 2019
Four dimensional ambitwistor strings and form factors of local and Wilson line operators Bork, L. V.; Onishchenko, A. I. arXiv https://doi.org/10.48550/arxiv.1704.04758	text	January 2017
The Sudakov form factor at four loops in maximal super Yang-Mills theory Boels, Rutger H.; Huber, Tobias; Yang, Gang arXiv https://doi.org/10.48550/arxiv.1711.08449	text	January 2017
Dual conformal invariance for form factors Bianchi, Lorenzo; Brandhuber, Andreas; Panerai, Rodolfo arXiv https://doi.org/10.48550/arxiv.1812.10468	text	January 2018

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