Soft Photon and Graviton Theorems in Effective Field Theory

Elvang, Henriette; Jones, Callum R. T.; Naculich, Stephen G.

doi:10.1103/physrevlett.118.231601

Title: Soft Photon and Graviton Theorems in Effective Field Theory

Abstract

Extensions of the photon and graviton soft theorems are derived in 4D local effective field theories with massless particles of arbitrary spin. We prove that effective operators can result in new terms in the soft theorems at subleading order for photons and subsubleading order for gravitons. The new soft terms are unique, and we provide a complete classification of all local operators responsible for such modifications. We show that no local operators can modify the subleading soft graviton theorem. The soft limits are taken in a manifestly on-locus manner using a complex double deformation of the external momenta. In addition to the new soft theorems, the resulting master formula yields consistency conditions, such as the conservation of electric charge, the Einstein equivalence principle, supergravity Ward identities, and that particles with spin greater than two cannot couple to those with spin less than or equal to two.

Authors:

Elvang, Henriette ^[1]; Jones, Callum R. T. ^[1]; Naculich, Stephen G. ^[2]

Univ. of Michigan, Ann Arbor, MI (United States). Michigan Center for Theoretical Physics. Randall Lab. of Physics. Dept. of Physics
Bowdoin College, Brunswick, ME (United States). Dept. of Physics

Publication Date:: Thu Jun 08 00:00:00 EDT 2017

Research Org.:: Univ. of Michigan, Ann Arbor, MI (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1536514

Alternate Identifier(s):: OSTI ID: 1365439

Grant/Contract Number:: SC0007859

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Volume: 118; Journal Issue: 23; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Elvang, Henriette, Jones, Callum R. T., and Naculich, Stephen G. Soft Photon and Graviton Theorems in Effective Field Theory.  United States: N. p., 2017. 
Web.  doi:10.1103/physrevlett.118.231601.

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                    Elvang, Henriette, Jones, Callum R. T., & Naculich, Stephen G. Soft Photon and Graviton Theorems in Effective Field Theory.  United States.  https://doi.org/10.1103/physrevlett.118.231601

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                    Elvang, Henriette, Jones, Callum R. T., and Naculich, Stephen G. Thu .  
"Soft Photon and Graviton Theorems in Effective Field Theory".  United States.  https://doi.org/10.1103/physrevlett.118.231601.  https://www.osti.gov/servlets/purl/1536514.

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@article{osti_1536514,

  title        = {Soft Photon and Graviton Theorems in Effective Field Theory},

  author       = {Elvang, Henriette and Jones, Callum R. T. and Naculich, Stephen G.},

  abstractNote = {Extensions of the photon and graviton soft theorems are derived in 4D local effective field theories with massless particles of arbitrary spin. We prove that effective operators can result in new terms in the soft theorems at subleading order for photons and subsubleading order for gravitons. The new soft terms are unique, and we provide a complete classification of all local operators responsible for such modifications. We show that no local operators can modify the subleading soft graviton theorem. The soft limits are taken in a manifestly on-locus manner using a complex double deformation of the external momenta. In addition to the new soft theorems, the resulting master formula yields consistency conditions, such as the conservation of electric charge, the Einstein equivalence principle, supergravity Ward identities, and that particles with spin greater than two cannot couple to those with spin less than or equal to two.},

  doi          = {10.1103/physrevlett.118.231601},

  journal      = {Physical Review Letters},

  number       = 23,

  volume       = 118,

  place        = {United States},

  year         = {Thu Jun 08 00:00:00 EDT 2017},

  month        = {Thu Jun 08 00:00:00 EDT 2017}

}

Copy to clipboard

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Works referenced in this record:

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4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT
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Area, Entanglement Entropy and Supertranslations at Null Infinity
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Works referencing / citing this record:

Testing subleading multiple soft graviton theorem for CHY prescription
journal, January 2018

Chakrabarti, Subhroneel; Kashyap, Sitender Pratap; Sahoo, Biswajit
Journal of High Energy Physics, Vol. 2018, Issue 1
DOI: 10.1007/jhep01(2018)090

Subleading soft theorem for arbitrary number of external soft photons and gravitons
journal, January 2019

Bhatkar, Sayali Atul; Sahoo, Biswajit
Journal of High Energy Physics, Vol. 2019, Issue 1
DOI: 10.1007/jhep01(2019)153

Soft bootstrap and supersymmetry
journal, January 2019

Elvang, Henriette; Hadjiantonis, Marios; Jones, Callum R. T.
Journal of High Energy Physics, Vol. 2019, Issue 1
DOI: 10.1007/jhep01(2019)195

Leading soft theorem for multiple gravitini
journal, June 2019

Jain, Diksha; Rudra, Arnab
Journal of High Energy Physics, Vol. 2019, Issue 6
DOI: 10.1007/jhep06(2019)004

Sub-subleading soft graviton theorem in generic theories of quantum gravity
journal, October 2017

Laddha, Alok; Sen, Ashoke
Journal of High Energy Physics, Vol. 2017, Issue 10
DOI: 10.1007/jhep10(2017)065

Logarithmic terms in the soft expansion in four dimensions
journal, October 2018

Laddha, Alok; Sen, Ashoke
Journal of High Energy Physics, Vol. 2018, Issue 10
DOI: 10.1007/jhep10(2018)056

Subleading soft theorem for multiple soft gravitons
journal, December 2017

Chakrabarti, Subhroneel; Kashyap, Sitender Pratap; Sahoo, Biswajit
Journal of High Energy Physics, Vol. 2017, Issue 12
DOI: 10.1007/jhep12(2017)150

Taming higher-derivative interactions and bootstrapping gravity with soft theorems
journal, October 2019

Carballo-Rubio, Raúl; Filippo, Francesco Di; Moynihan, Nathan
Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 10
DOI: 10.1088/1475-7516/2019/10/030

Sub-subleading Soft Graviton Theorem in Generic Theories of Quantum Gravity
text, January 2017

Laddha, Alok; Sen, Ashoke
arXiv
DOI: 10.48550/arxiv.1706.00759

Testing Subleading Multiple Soft Graviton Theorem for CHY Prescription
text, January 2017

Chakrabarti, Subhroneel; Kashyap, Sitender Pratap; Sahoo, Biswajit
arXiv
DOI: 10.48550/arxiv.1709.07883

Soft Bootstrap and Supersymmetry
text, January 2018

Elvang, Henriette; Hadjiantonis, Marios; Jones, Callum R. T.
arXiv
DOI: 10.48550/arxiv.1806.06079

Subleading Soft Theorem for arbitrary number of external soft photons and gravitons
preprint, January 2018

Bhatkar, Sayali Atul; Sahoo, Biswajit
arXiv
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Taming higher-derivative interactions and bootstrapping gravity with soft theorems
text, January 2018

Carballo-Rubio, Raúl; Di Filippo, Francesco; Moynihan, Nathan
arXiv
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UV considerations on scattering amplitudes in a web of theories
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Carrasco, John Joseph M.; Rodina, Laurentiu
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The Duality Between Color and Kinematics and its Applications
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Similar Records

Title: Soft Photon and Graviton Theorems in Effective Field Theory

Abstract

Citation Formats

Limits on massless particles journal, October 1980

Scattering Amplitudes in Gauge Theory and Gravity book, January 2015

Extension of the Low Soft-Photon Theorem journal, January 1968

Infrared Photons and Gravitons journal, October 1965

New symmetries of massless QED journal, October 2014

Supergravity and the S matrix journal, February 1977

Semiclassical Virasoro symmetry of the quantum gravity S $$ \mathcal{S} $$ -matrix journal, August 2014

Scattering of Low-Energy Photons by Particles of Spin ½ journal, December 1954

Simple recursion relations for general field theories journal, June 2015

Some properties of scattering amplitudes in supersymmetric theories journal, June 1977

Low-Energy Theorems for Massless Bosons: Photons and Gravitons journal, April 1968

Scattering of Light of Very Low Frequency by Systems of Spin ½ journal, December 1954

Low’s Subleading Soft Theorem as a Symmetry of QED journal, September 2014

Bremsstrahlung of Very Low-Energy Quanta in Elementary Particle Collisions journal, May 1958

Photons and Gravitons in S -Matrix Theory: Derivation of Charge Conservation and Equality of Gravitational and Inertial Mass journal, August 1964

Higher-spin massless S matrices in four dimensions journal, October 2014

More on soft theorems: Trees, loops, and strings journal, September 2015

Universal limits on massless high-spin particles journal, September 2008

Low-Energy Theorem for Graviton Scattering journal, February 1968

4D scattering amplitudes and asymptotic symmetries from 2D CFT journal, January 2017

Soft spin fermions require gravity and supersymmetry journal, April 1977

Subsubleading soft theorems of gravitons and dilatons in the bosonic string text, January 2016

4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT text, January 2016

Area, Entanglement Entropy and Supertranslations at Null Infinity text, January 2016

Testing subleading multiple soft graviton theorem for CHY prescription journal, January 2018

Subleading soft theorem for arbitrary number of external soft photons and gravitons journal, January 2019

Soft bootstrap and supersymmetry journal, January 2019

Leading soft theorem for multiple gravitini journal, June 2019

Sub-subleading soft graviton theorem in generic theories of quantum gravity journal, October 2017

Logarithmic terms in the soft expansion in four dimensions journal, October 2018

Subleading soft theorem for multiple soft gravitons journal, December 2017

Taming higher-derivative interactions and bootstrapping gravity with soft theorems journal, October 2019

Sub-subleading Soft Graviton Theorem in Generic Theories of Quantum Gravity text, January 2017

Testing Subleading Multiple Soft Graviton Theorem for CHY Prescription text, January 2017

Soft Bootstrap and Supersymmetry text, January 2018

Subleading Soft Theorem for arbitrary number of external soft photons and gravitons preprint, January 2018

Taming higher-derivative interactions and bootstrapping gravity with soft theorems text, January 2018

UV considerations on scattering amplitudes in a web of theories text, January 2019

The Duality Between Color and Kinematics and its Applications preprint, January 2019

Limits on massless particles
journal, October 1980

Scattering Amplitudes in Gauge Theory and Gravity
book, January 2015

Extension of the Low Soft-Photon Theorem
journal, January 1968

Infrared Photons and Gravitons
journal, October 1965

New symmetries of massless QED
journal, October 2014

Supergravity and the $S$ matrix
journal, February 1977

Semiclassical Virasoro symmetry of the quantum gravity S $$ \mathcal{S} $$ -matrix
journal, August 2014

Scattering of Low-Energy Photons by Particles of Spin ½
journal, December 1954

Simple recursion relations for general field theories
journal, June 2015

Some properties of scattering amplitudes in supersymmetric theories
journal, June 1977

Low-Energy Theorems for Massless Bosons: Photons and Gravitons
journal, April 1968

Scattering of Light of Very Low Frequency by Systems of Spin ½
journal, December 1954

Low’s Subleading Soft Theorem as a Symmetry of QED
journal, September 2014

Bremsstrahlung of Very Low-Energy Quanta in Elementary Particle Collisions
journal, May 1958

Photons and Gravitons in $S$ -Matrix Theory: Derivation of Charge Conservation and Equality of Gravitational and Inertial Mass
journal, August 1964

Higher-spin massless $S$ matrices in four dimensions
journal, October 2014

More on soft theorems: Trees, loops, and strings
journal, September 2015

Universal limits on massless high-spin particles
journal, September 2008

Low-Energy Theorem for Graviton Scattering
journal, February 1968

4D scattering amplitudes and asymptotic symmetries from 2D CFT
journal, January 2017

Soft spin fermions require gravity and supersymmetry
journal, April 1977

Subsubleading soft theorems of gravitons and dilatons in the bosonic string
text, January 2016

4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT
text, January 2016

Area, Entanglement Entropy and Supertranslations at Null Infinity
text, January 2016

Testing subleading multiple soft graviton theorem for CHY prescription
journal, January 2018

Subleading soft theorem for arbitrary number of external soft photons and gravitons
journal, January 2019

Soft bootstrap and supersymmetry
journal, January 2019

Leading soft theorem for multiple gravitini
journal, June 2019

Sub-subleading soft graviton theorem in generic theories of quantum gravity
journal, October 2017

Logarithmic terms in the soft expansion in four dimensions
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Subleading soft theorem for multiple soft gravitons
journal, December 2017

Taming higher-derivative interactions and bootstrapping gravity with soft theorems
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Sub-subleading Soft Graviton Theorem in Generic Theories of Quantum Gravity
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Testing Subleading Multiple Soft Graviton Theorem for CHY Prescription
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Subleading Soft Theorem for arbitrary number of external soft photons and gravitons
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UV considerations on scattering amplitudes in a web of theories
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