Soft-collinear gravity beyond the leading power

Beneke, Martin; Hager, Patrick; Szafron, Robert

doi:10.1007/jhep03(2022)080

Title: Soft-collinear gravity beyond the leading power

Abstract

We construct “soft-collinear gravity”, the effective field theory which describes the interaction of collinear and soft gravitons with matter (and themselves), to all orders in the soft-collinear power expansion. Despite the absence of collinear divergences in gravity at leading power, the construction exhibits remarkable similarities with soft-collinear effective theory of QCD (gauge fields). It reveals an emergent soft background gauge symmetry, which allows for a manifestly gauge-invariant representation of the interactions in terms of a soft covariant derivative, the soft Riemann tensor, and a covariant generalisation of the collinear light-cone gauge metric field. The gauge symmetries control both the unsuppressed collinear field components and the inherent inhomogeneity in λ of the invariant objects to all orders, resulting in a consistent expansion.

Authors:

Beneke, Martin ^[1]; Hager, Patrick ^[1];

^[2]

Technical Univ. of Munich (Germany)
Brookhaven National Lab. (BNL), Upton, NY (United States)

Publication Date:: Mon Mar 14 00:00:00 EDT 2022

Research Org.:: Brookhaven National Lab. (BNL), Upton, NY (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP); German Research Foundation (DFG)

OSTI Identifier:: 1855752

Report Number(s):: BNL-222874-2022-JAAM
Journal ID: ISSN 1029-8479; TRN: US2305044

Grant/Contract Number:: SC0012704; 390783311

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: 2022; Journal Issue: 3; Journal ID: ISSN 1029-8479

Publisher:: Springer Nature

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; effective field theories; gauge symmetry

Citation Formats


                    Beneke, Martin, Hager, Patrick, and Szafron, Robert. Soft-collinear gravity beyond the leading power.  United States: N. p., 2022. 
Web.  doi:10.1007/jhep03(2022)080.

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                    Beneke, Martin, Hager, Patrick, & Szafron, Robert. Soft-collinear gravity beyond the leading power.  United States.  https://doi.org/10.1007/jhep03(2022)080

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                    Beneke, Martin, Hager, Patrick, and Szafron, Robert. Mon .  
"Soft-collinear gravity beyond the leading power".  United States.  https://doi.org/10.1007/jhep03(2022)080.  https://www.osti.gov/servlets/purl/1855752.

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@article{osti_1855752,

  title        = {Soft-collinear gravity beyond the leading power},

  author       = {Beneke, Martin and Hager, Patrick and Szafron, Robert},

  abstractNote = {We construct “soft-collinear gravity”, the effective field theory which describes the interaction of collinear and soft gravitons with matter (and themselves), to all orders in the soft-collinear power expansion. Despite the absence of collinear divergences in gravity at leading power, the construction exhibits remarkable similarities with soft-collinear effective theory of QCD (gauge fields). It reveals an emergent soft background gauge symmetry, which allows for a manifestly gauge-invariant representation of the interactions in terms of a soft covariant derivative, the soft Riemann tensor, and a covariant generalisation of the collinear light-cone gauge metric field. The gauge symmetries control both the unsuppressed collinear field components and the inherent inhomogeneity in λ of the invariant objects to all orders, resulting in a consistent expansion.},

  doi          = {10.1007/jhep03(2022)080},

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

  number       = 3,

  volume       = 2022,

  place        = {United States},

  year         = {Mon Mar 14 00:00:00 EDT 2022},

  month        = {Mon Mar 14 00:00:00 EDT 2022}

}

Copy to clipboard

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Similar Records

Title: Soft-collinear gravity beyond the leading power

Abstract

Citation Formats

Quantum Theory of Gravity. I. The Canonical Theory journal, August 1967

Double copy for Lagrangians at trilinear order journal, February 2022

Anomalous dimension of subleading-power N-jet operators. Part II journal, November 2018

Feynman Rules for Electromagnetic and Yang-Mills Fields from the Gauge-Independent Field-Theoretic Formalism journal, November 1968

Soft-collinear gravity journal, September 2012

Reparameterization invariance for collinear operators journal, July 2002

Sub-sub-leading soft-graviton theorem in arbitrary dimension journal, October 2014

Topics in soft collinear effective theory for gravity: The diffeomorphism invariant Wilson lines and reparametrization invariance journal, March 2020

A subleading operator basis and matching for gg → H journal, July 2017

Multipole-expanded soft-collinear effective theory with non-Abelian gauge symmetry journal, February 2003

An effective field theory for collinear and soft gluons: Heavy to light decays journal, May 2001

Feynman Rules for the Gravitational Field from the Coordinate-Independent Field-Theoretic Formalism journal, November 1968

Perturbative gravity from QCD amplitudes journal, June 1999

Anomalous dimension of subleading-power N-jet operators journal, March 2018

S Matrix for Yang-Mills and Gravitational Fields journal, December 1970

A complete basis of helicity operators for subleading factorization journal, November 2017

Low-energy behavior of gluons and gravitons from gauge invariance journal, October 2014

Violation of the Kluberg-Stern-Zuber theorem in SCET journal, September 2019

Soft-collinear effective theory and heavy-to-light currents beyond leading power journal, November 2002

Hard scattering factorization from effective field theory journal, July 2002

Gravity as the square of gauge theory journal, September 2010

Canonical Variables for General Relativity journal, March 1960

Subleading Soft Theorem in Arbitrary Dimensions from Scattering Equations journal, September 2014

General relativity as an effective field theory: The leading quantum corrections journal, September 1994

Quantum Theory of Gravitation: General Formulation and Linearized Theory journal, January 1959

New relations for gauge-theory amplitudes journal, October 2008

Quantum Theory of Gravity. III. Applications of the Covariant Theory journal, October 1967

Infrared Photons and Gravitons journal, October 1965

Collinear and soft divergences in perturbative quantum gravity journal, November 2011

Asymptotic expansion of Feynman integrals near threshold journal, June 1998

Building blocks for subleading helicity operators journal, May 2016

Quantum Theory of Gravity. II. The Manifestly Covariant Theory journal, October 1967

Factorization properties of soft graviton amplitudes journal, May 2011

Soft collinear effective theory for gravity journal, March 2018

Eikonal methods applied to gravitational scattering amplitudes journal, May 2011

Soft-collinear factorization in effective field theory journal, February 2002

Constraining subleading soft gluon and graviton theorems journal, September 2014

Diffeomorphism-invariant observables and their nonlocal algebra journal, January 2016

Quantum Theory of Gravity. I. The Canonical Theory
journal, August 1967

Double copy for Lagrangians at trilinear order
journal, February 2022

Anomalous dimension of subleading-power N-jet operators. Part II
journal, November 2018

Feynman Rules for Electromagnetic and Yang-Mills Fields from the Gauge-Independent Field-Theoretic Formalism
journal, November 1968

Soft-collinear gravity
journal, September 2012

Reparameterization invariance for collinear operators
journal, July 2002

Sub-sub-leading soft-graviton theorem in arbitrary dimension
journal, October 2014

Topics in soft collinear effective theory for gravity: The diffeomorphism invariant Wilson lines and reparametrization invariance
journal, March 2020

A subleading operator basis and matching for gg → H
journal, July 2017

Multipole-expanded soft-collinear effective theory with non-Abelian gauge symmetry
journal, February 2003

An effective field theory for collinear and soft gluons: Heavy to light decays
journal, May 2001

Feynman Rules for the Gravitational Field from the Coordinate-Independent Field-Theoretic Formalism
journal, November 1968

Perturbative gravity from QCD amplitudes
journal, June 1999

Anomalous dimension of subleading-power N-jet operators
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$S$ Matrix for Yang-Mills and Gravitational Fields
journal, December 1970

A complete basis of helicity operators for subleading factorization
journal, November 2017

Low-energy behavior of gluons and gravitons from gauge invariance
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Violation of the Kluberg-Stern-Zuber theorem in SCET
journal, September 2019

Soft-collinear effective theory and heavy-to-light currents beyond leading power
journal, November 2002

Hard scattering factorization from effective field theory
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Quantum Theory of Gravitation: General Formulation and Linearized Theory
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journal, May 2016

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