Landau singularities and symbology: One- and two-loop MHV amplitudes in SYM theory

Dennen, Tristan; Spradlin, Marcus; Volovich, Anastasia

doi:10.1007/JHEP03(2016)069

Title: Landau singularities and symbology: One- and two-loop MHV amplitudes in SYM theory

Abstract

We apply the Landau equations, whose solutions parameterize the locus of possible branch points, to the one- and two-loop Feynman integrals relevant to MHV amplitudes in planar N = 4 super-Yang-Mills theory. We then identify which of the Landau singularities appear in the symbols of the amplitudes, and which do not. Finally, we observe that all of the symbol entries in the two-loop MHV amplitudes are already present as Landau singularities of one-loop pentagon integrals.

Authors:

Dennen, Tristan ^[1]; Spradlin, Marcus ^[1]; Volovich, Anastasia ^[1]

Brown Univ., Providence, RI (United States). Dept. of Physics

Publication Date:: Mon Mar 14 00:00:00 EDT 2016

Research Org.:: Brown Univ., Providence, RI (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1326989

Grant/Contract Number:: SC0010010; FG02-11ER41742

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: 2016; Journal Issue: 3; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; scattering amplitudes; supersymmetric gauge theory

Citation Formats


                    Dennen, Tristan, Spradlin, Marcus, and Volovich, Anastasia. Landau singularities and symbology: One- and two-loop MHV amplitudes in SYM theory.  United States: N. p., 2016. 
Web.  doi:10.1007/JHEP03(2016)069.

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                    Dennen, Tristan, Spradlin, Marcus, & Volovich, Anastasia. Landau singularities and symbology: One- and two-loop MHV amplitudes in SYM theory.  United States.  https://doi.org/10.1007/JHEP03(2016)069

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                    Dennen, Tristan, Spradlin, Marcus, and Volovich, Anastasia. Mon .  
"Landau singularities and symbology: One- and two-loop MHV amplitudes in SYM theory".  United States.  https://doi.org/10.1007/JHEP03(2016)069.  https://www.osti.gov/servlets/purl/1326989.

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@article{osti_1326989,

  title        = {Landau singularities and symbology: One- and two-loop MHV amplitudes in SYM theory},

  author       = {Dennen, Tristan and Spradlin, Marcus and Volovich, Anastasia},

  abstractNote = {We apply the Landau equations, whose solutions parameterize the locus of possible branch points, to the one- and two-loop Feynman integrals relevant to MHV amplitudes in planar N = 4 super-Yang-Mills theory. We then identify which of the Landau singularities appear in the symbols of the amplitudes, and which do not. Finally, we observe that all of the symbol entries in the two-loop MHV amplitudes are already present as Landau singularities of one-loop pentagon integrals.},

  doi          = {10.1007/JHEP03(2016)069},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 3,

  volume       = 2016,

  place        = {United States},

  year         = {Mon Mar 14 00:00:00 EDT 2016},

  month        = {Mon Mar 14 00:00:00 EDT 2016}

}

Copy to clipboard

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Works referenced in this record:

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Landau, L. D.
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Cuts and coproducts of massive triangle diagrams
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Abreu, Samuel; Britto, Ruth; Grönqvist, Hanna
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A duality for the S matrix
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Arkani-Hamed, N.; Cachazo, F.; Cheung, C.
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Ellis, R. Keith; Zanderighi, Giulia
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Eliminating spurious poles from gauge-theoretic amplitudes
journal, May 2013

Hodges, Andrew
Journal of High Energy Physics, Vol. 2013, Issue 5
DOI: 10.1007/JHEP05(2013)135

Local integrals for planar scattering amplitudes
journal, June 2012

Arkani-Hamed, N.; Bourjaily, J.; Cachazo, F.
Journal of High Energy Physics, Vol. 2012, Issue 6
DOI: 10.1007/JHEP06(2012)125

Pulling the straps of polygons
journal, December 2011

Gaiotto, Davide; Maldacena, Juan; Sever, Amit
Journal of High Energy Physics, Vol. 2011, Issue 12
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journal, January 1994

Bern, Zvi; Dixon, Lance; Kosower, David A.
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journal, December 2011

Caron-Huot, S.
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Motivic amplitudes and cluster coordinates
journal, January 2014

Golden, J. K.; Goncharov, A. B.; Spradlin, M.
Journal of High Energy Physics, Vol. 2014, Issue 1
DOI: 10.1007/JHEP01(2014)091

Local integrand representations of all two-loop amplitudes in planar SYM
journal, August 2015

Bourjaily, Jacob L.; Trnka, Jaroslav
Journal of High Energy Physics, Vol. 2015, Issue 8
DOI: 10.1007/JHEP08(2015)119

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journal, July 1962

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Scattering into the fifth dimension of $$ \mathcal{N} $$ = 4 super Yang-Mills
journal, January 2010

Alday, Luis F.; Henn, Johannes; Plefka, Jan
Journal of High Energy Physics, Vol. 2010, Issue 1
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Scalar one-loop integrals
journal, January 1979

't Hooft, G.; Veltman, M.
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Bootstrapping the three-loop hexagon
journal, November 2011

Dixon, Lance J.; Drummond, James M.; Henn, Johannes M.
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Analytic result for the two-loop six-point NMHV amplitude in $ \mathcal{N} = {4} $ super Yang-Mills theory
journal, January 2012

Dixon, Lance J.; Drummond, James M.; Henn, Johannes M.
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Hexagon functions and the three-loop remainder function
journal, December 2013

Dixon, Lance J.; Drummond, James M.; von Hippel, Matt
Journal of High Energy Physics, Vol. 2013, Issue 12
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The four-loop remainder function and multi-Regge behavior at NNLLA in planar $ \mathcal{N} $ = 4 super-Yang-Mills theory
journal, June 2014

Dixon, Lance J.; Drummond, James M.; Duhr, Claude
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Dixon, Lance; Drummond, James; Duhr, Claude
Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2014)
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Bootstrapping an NMHV amplitude through three loops
journal, October 2014

Dixon, Lance J.; von Hippel, Matt
Journal of High Energy Physics, Vol. 2014, Issue 10
DOI: 10.1007/JHEP10(2014)065

The four-loop six-gluon NMHV ratio function
journal, January 2016

Dixon, Lance J.; von Hippel, Matt; McLeod, Andrew J.
Journal of High Energy Physics, Vol. 2016, Issue 1
DOI: 10.1007/JHEP01(2016)053

Works referencing / citing this record:

Heptagons from the Steinmann Cluster Bootstrap
text, January 2017

Dixon, Lance J.; Drummond, James; Harrington, Thomas
Deutsches Elektronen-Synchrotron, DESY, Hamburg
DOI: 10.3204/pubdb-2017-00889

Heptagons from the Steinmann Cluster Bootstrap
text, January 2016

Dixon, Lance J.; Drummond, James; Harrington, Thomas
arXiv
DOI: 10.48550/arxiv.1612.08976

Cuts from residues: the one-loop case
text, January 2017

Abreu, Samuel; Britto, Ruth; Duhr, Claude
arXiv
DOI: 10.48550/arxiv.1702.03163

Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case
text, January 2017

Abreu, Samuel; Britto, Ruth; Duhr, Claude
arXiv
DOI: 10.48550/arxiv.1704.07931

All-Helicity Symbol Alphabets from Unwound Amplituhedra
text, January 2017

Prlina, Igor; Spradlin, Marcus; Stankowicz, James
arXiv
DOI: 10.48550/arxiv.1711.11507

Boundaries of Amplituhedra and NMHV Symbol Alphabets at Two Loops
text, January 2017

Prlina, Igor; Spradlin, Marcus; Stankowicz, James
arXiv
DOI: 10.48550/arxiv.1712.08049

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Similar Records

Title: Landau singularities and symbology: One- and two-loop MHV amplitudes in SYM theory

Abstract

Citation Formats

On analytic properties of vertex parts in quantum field theory journal, October 1959

Classical Polylogarithms for Amplitudes and Wilson Loops journal, October 2010

From multiple unitarity cuts to the coproduct of Feynman integrals journal, October 2014

Cuts and coproducts of massive triangle diagrams journal, July 2015

A duality for the S matrix journal, March 2010

Scalar one-loop integrals for QCD journal, February 2008

Eliminating spurious poles from gauge-theoretic amplitudes journal, May 2013

Local integrals for planar scattering amplitudes journal, June 2012

Pulling the straps of polygons journal, December 2011

Dimensionally-regulated pentagon integrals journal, January 1994

Superconformal symmetry and two-loop amplitudes in planar N = 4 super Yang-Mills journal, December 2011

Motivic amplitudes and cluster coordinates journal, January 2014

Local integrand representations of all two-loop amplitudes in planar SYM journal, August 2015

Singularities of the Second Type journal, July 1962

Physical sheet properties of second type singularities journal, November 1962

Scattering into the fifth dimension of $$ \mathcal{N} $$ = 4 super Yang-Mills journal, January 2010

Scalar one-loop integrals journal, January 1979

Bootstrapping the three-loop hexagon journal, November 2011

Analytic result for the two-loop six-point NMHV amplitude in $ \mathcal{N} = {4} $ super Yang-Mills theory journal, January 2012

Hexagon functions and the three-loop remainder function journal, December 2013

The four-loop remainder function and multi-Regge behavior at NNLLA in planar $ \mathcal{N} $ = 4 super-Yang-Mills theory journal, June 2014

Bootstrapping six-gluon scattering in planar N=4 super-Yang-Mills theory conference, August 2014

Bootstrapping an NMHV amplitude through three loops journal, October 2014

The four-loop six-gluon NMHV ratio function journal, January 2016

Heptagons from the Steinmann Cluster Bootstrap text, January 2017

Heptagons from the Steinmann Cluster Bootstrap text, January 2016

Cuts from residues: the one-loop case text, January 2017

Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case text, January 2017

All-Helicity Symbol Alphabets from Unwound Amplituhedra text, January 2017

Boundaries of Amplituhedra and NMHV Symbol Alphabets at Two Loops text, January 2017

On analytic properties of vertex parts in quantum field theory
journal, October 1959

Classical Polylogarithms for Amplitudes and Wilson Loops
journal, October 2010

From multiple unitarity cuts to the coproduct of Feynman integrals
journal, October 2014

Cuts and coproducts of massive triangle diagrams
journal, July 2015

A duality for the S matrix
journal, March 2010

Scalar one-loop integrals for QCD
journal, February 2008

Eliminating spurious poles from gauge-theoretic amplitudes
journal, May 2013

Local integrals for planar scattering amplitudes
journal, June 2012

Pulling the straps of polygons
journal, December 2011

Dimensionally-regulated pentagon integrals
journal, January 1994

Superconformal symmetry and two-loop amplitudes in planar N = 4 super Yang-Mills
journal, December 2011

Motivic amplitudes and cluster coordinates
journal, January 2014

Local integrand representations of all two-loop amplitudes in planar SYM
journal, August 2015

Singularities of the Second Type
journal, July 1962

Physical sheet properties of second type singularities
journal, November 1962

Scattering into the fifth dimension of $$ \mathcal{N} $$ = 4 super Yang-Mills
journal, January 2010

Scalar one-loop integrals
journal, January 1979

Bootstrapping the three-loop hexagon
journal, November 2011

Analytic result for the two-loop six-point NMHV amplitude in $ \mathcal{N} = {4} $ super Yang-Mills theory
journal, January 2012

Hexagon functions and the three-loop remainder function
journal, December 2013

The four-loop remainder function and multi-Regge behavior at NNLLA in planar $ \mathcal{N} $ = 4 super-Yang-Mills theory
journal, June 2014

Bootstrapping six-gluon scattering in planar N=4 super-Yang-Mills theory
conference, August 2014

Bootstrapping an NMHV amplitude through three loops
journal, October 2014

The four-loop six-gluon NMHV ratio function
journal, January 2016

Heptagons from the Steinmann Cluster Bootstrap
text, January 2017

Heptagons from the Steinmann Cluster Bootstrap
text, January 2016

Cuts from residues: the one-loop case
text, January 2017

Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case
text, January 2017

All-Helicity Symbol Alphabets from Unwound Amplituhedra
text, January 2017

Boundaries of Amplituhedra and NMHV Symbol Alphabets at Two Loops
text, January 2017