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Title: 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.

Authors:
 [1];  [2]; ORCiD logo [3];  [4]
+ Show Author Affiliations
  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
Publication Date:
Research Org.:
California Institute of Technology (CalTech), Pasadena, CA (United States); Univ. of Edinburgh, Scotland (United Kingdom)
Sponsoring Org.:
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)
OSTI Identifier:
1424590
Grant/Contract Number:  
SC0010255; PHY-1125915; 637019
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 9; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; duality in gauge field theories; scattering amplitudes; supersymmetric gauge theory

Citation Formats

Meidinger, David, Nandan, Dhritiman, Penante, Brenda, and Wen, Congkao. A note on NMHV form factors from the Graßmannian and the twistor string. United States: N. p., 2017. Web. doi:10.1007/JHEP09(2017)024.
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Meidinger, David, Nandan, Dhritiman, Penante, Brenda, & Wen, Congkao. A note on NMHV form factors from the Graßmannian and the twistor string. United States. https://doi.org/10.1007/JHEP09(2017)024
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Meidinger, David, Nandan, Dhritiman, Penante, Brenda, and Wen, Congkao. Wed . "A note on NMHV form factors from the Graßmannian and the twistor string". United States. https://doi.org/10.1007/JHEP09(2017)024. https://www.osti.gov/servlets/purl/1424590.
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@article{osti_1424590,
title = {A note on NMHV form factors from the Graßmannian and the twistor string},
author = {Meidinger, David and Nandan, Dhritiman and Penante, Brenda and Wen, Congkao},
abstractNote = {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.},
doi = {10.1007/JHEP09(2017)024},
journal = {Journal of High Energy Physics (Online)},
number = 9,
volume = 2017,
place = {United States},
year = {2017},
month = {9}
}
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https://doi.org/10.1007/JHEP09(2017)024
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    Works referencing / citing this record:

    The Sudakov form factor at four loops in maximal super Yang-Mills theory
    journal, January 2018

    • Boels, Rutger H.; Huber, Tobias; Yang, Gang
    • Journal of High Energy Physics, Vol. 2018, Issue 1
    • DOI: 10.1007/jhep01(2018)153

    Dual conformal invariance for form factors
    journal, February 2019

    • Bianchi, Lorenzo; Brandhuber, Andreas; Panerai, Rodolfo
    • Journal of High Energy Physics, Vol. 2019, Issue 2
    • DOI: 10.1007/jhep02(2019)134

    Four-dimensional ambitwistor strings and form factors of local and Wilson line operators
    journal, June 2018

    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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