Search Menu
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information
Search Scholarly Publications

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.
Copy to clipboard
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
Copy to clipboard
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.
Copy to clipboard
@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 = {Wed Sep 06 00:00:00 EDT 2017},
month = {Wed Sep 06 00:00:00 EDT 2017}
}
Copy to clipboard
Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1007/JHEP09(2017)024
Copyright Statement
Other availability
Search WorldCat Search WorldCat to find libraries that may hold this journal
Citation Metrics:
Cited by: 3 works
Citation information provided by
Web of Science
Save / Share:
Export Metadata
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.

Works referenced in this record:

On NMHV form factors in $ \mathcal{N}=4 $ SYM theory from generalized unitarity
journal, January 2013

Perturbative Gauge Theory as a String Theory in Twistor Space
journal, October 2004

The Grassmannian and the twistor string: connecting all trees in $ \mathcal{N} = 4 $ SYM
journal, January 2011

  • Bourjaily, Jacob L.; Trnka, Jaroslav; Volovich, Anastasia
  • Journal of High Energy Physics, Vol. 2011, Issue 1
  • DOI: 10.1007/JHEP01(2011)038

From twistor string theory to recursion relations
journal, October 2009

Yangian symmetry of scattering amplitudes in 𝒩 = 4 super Yang-Mills theory
journal, May 2009

From 4d ambitwistor strings to on shell diagrams and back
journal, July 2017

  • Farrow, Joseph A.; Lipstein, Arthur E.
  • Journal of High Energy Physics, Vol. 2017, Issue 7
  • DOI: 10.1007/JHEP07(2017)114

The connected prescription for form factors in twistor space
journal, November 2016

  • Brandhuber, A.; Hughes, E.; Panerai, R.
  • Journal of High Energy Physics, Vol. 2016, Issue 11
  • DOI: 10.1007/JHEP11(2016)143

The Amplituhedron
journal, October 2014

  • Arkani-Hamed, Nima; Trnka, Jaroslav
  • Journal of High Energy Physics, Vol. 2014, Issue 10
  • DOI: 10.1007/JHEP10(2014)030

Spectral parameters for scattering amplitudes in $ \mathcal{N} $ =4 super Yang-Mills theory
journal, January 2014

  • Ferro, Livia; Lukowski, Tomasz; Meneghelli, Carlo
  • Journal of High Energy Physics, Vol. 2014, Issue 1
  • DOI: 10.1007/JHEP01(2014)094

On-shell diagrams, Graßmannians and integrability for form factors
journal, January 2016

  • Frassek, Rouven; Meidinger, David; Nandan, Dhritiman
  • Journal of High Energy Physics, Vol. 2016, Issue 1
  • DOI: 10.1007/JHEP01(2016)182

Grassmannians and form factors with q 2 = 0 in N $$ \mathcal{N} $$ =4 SYM theory
journal, December 2016

Review of AdS/CFT Integrability: An Overview
journal, October 2011

  • Beisert, Niklas; Ahn, Changrim; Alday, Luis F.
  • Letters in Mathematical Physics, Vol. 99, Issue 1-3
  • DOI: 10.1007/s11005-011-0529-2

A duality for the S matrix
journal, March 2010

  • Arkani-Hamed, N.; Cachazo, F.; Cheung, C.
  • Journal of High Energy Physics, Vol. 2010, Issue 3
  • DOI: 10.1007/JHEP03(2010)020

Gluon tree amplitudes in open twistor string theory
journal, December 2009

Form factors in the N=4 maximally supersymmetric Yang–Mills theory, soft theorems, and integrability
journal, March 2017

Tree-level S matrix of Yang-Mills theory
journal, July 2004

Harmony of super form factors
journal, October 2011

  • Brandhuber, A.; Gürdoğan, Ö.; Mooney, R.
  • Journal of High Energy Physics, Vol. 2011, Issue 10
  • DOI: 10.1007/JHEP10(2011)046

Stratifying on-shell cluster varieties: the geometry of non-planar on-shell diagrams
journal, October 2016

  • Bourjaily, Jacob L.; Franco, Sebastián; Galloni, Daniele
  • Journal of High Energy Physics, Vol. 2016, Issue 10
  • DOI: 10.1007/JHEP10(2016)003

Unification of residues and Grassmannian dualities
journal, January 2011

  • Arkani-Hamed, N.; Bourjaily, J.; Cachazo, F.
  • Journal of High Energy Physics, Vol. 2011, Issue 1
  • DOI: 10.1007/JHEP01(2011)049

Seven Points on a Twisted Cubic Curve
journal, August 1915

  • White, H. S.
  • Proceedings of the National Academy of Sciences, Vol. 1, Issue 8
  • DOI: 10.1073/pnas.1.8.464

Into the amplituhedron
journal, December 2014

  • Arkani-Hamed, Nima; Trnka, Jaroslav
  • Journal of High Energy Physics, Vol. 2014, Issue 12
  • DOI: 10.1007/JHEP12(2014)182

Generating all tree amplitudes in $ \mathcal{N} = 4\;{\text{SYM}} $ by Inverse Soft Limit
journal, August 2012

The super-correlator/super-amplitude duality: Part II
journal, April 2013

The super-correlator/super-amplitude duality: Part I
journal, April 2013

The S-matrix in twistor space
journal, March 2010

  • Arkani-Hamed, N.; Cachazo, F.; Cheung, C.
  • Journal of High Energy Physics, Vol. 2010, Issue 3
  • DOI: 10.1007/JHEP03(2010)110

Non-planar on-shell diagrams
journal, June 2015

  • Franco, Sebastián; Galloni, Daniele; Penante, Brenda
  • Journal of High Energy Physics, Vol. 2015, Issue 6
  • DOI: 10.1007/JHEP06(2015)199

Yang–Baxter operators and scattering amplitudes in <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:math> super-Yang–Mills theory
journal, April 2014

Form factors in $ \mathcal{N} = 4 $ super Yang-Mills and periodic Wilson loops
journal, January 2011

  • Brandhuber, Andreas; Spence, Bill; Travaglini, Gabriele
  • Journal of High Energy Physics, Vol. 2011, Issue 1
  • DOI: 10.1007/JHEP01(2011)134

On form factors in N = 4 $$ \mathcal{N}=4 $$ SYM theory and polytopes
journal, December 2014

A note on connected formula for form factors
journal, December 2016

A grassmannian étude in NMHV minors
journal, July 2010

  • Nandan, Dhritiman; Volovich, Anastasia; Wen, Congkao
  • Journal of High Energy Physics, Vol. 2010, Issue 7
  • DOI: 10.1007/JHEP07(2010)061
    Sort by:
    [ × clear filter / sort ]

    Works referencing / citing this record:

    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

      Sort by:
      [ × clear filter / sort ]

      Similar Records in DOE PAGES and OSTI.GOV collections: