All-multiplicity one-loop amplitudes in Born-Infeld electrodynamics from generalized unitarity

Elvang, Henriette; Hadjiantonis, Marios; Jones, Callum R. T.; Paranjape, Shruti

doi:10.1007/jhep03(2020)009

Title: All-multiplicity one-loop amplitudes in Born-Infeld electrodynamics from generalized unitarity

Abstract

We initiate a study of non-supersymmetric Born-Infeld electrodynamics in 4d at the quantum level. Explicit all-multiplicity expressions are calculated for the purely rational one-loop amplitudes in the self-dual (+ + … +) and next-to-self-dual (- + … +) helicity sectors. Using a supersymmetric decomposition, d-dimensional unitarity cuts of the integrand factorize into tree-amplitudes in a 4d model of Born-Infeld photons coupled to a massive complex scalar. The two-scalar tree-amplitudes needed to construct the Born-Infeld integrand are computed using two complimentary approaches: (1) as a double-copy of Yang-Mills coupled to a massive adjoint scalar with a dimensionally reduced form of Chiral Perturbation Theory, and (2) by imposing consistency with low-energy theorems under a reduction from 4d to 3d and T-duality. The Born-Infeld integrand is integrated in d = 4 - 2ϵ dimensions at order Ο(ϵ⁰) using the dimension-shifting formalism. We comment on the implications for electromagnetic duality in quantum Born-Infeld theory.

Authors:

Elvang, Henriette ^[1]; Hadjiantonis, Marios ^[1];

^[1]; Paranjape, Shruti ^[1]

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

Publication Date:: 2020-03-02

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

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

OSTI Identifier:: 1643785

Grant/Contract Number:: SC0007859

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: 2020; 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; Eﬀective Field Theories; Global Symmetries; Scattering Amplitudes

Citation Formats


                    Elvang, Henriette, Hadjiantonis, Marios, Jones, Callum R. T., and Paranjape, Shruti. All-multiplicity one-loop amplitudes in Born-Infeld electrodynamics from generalized unitarity.  United States: N. p., 2020. 
Web.  doi:10.1007/jhep03(2020)009.

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                    Elvang, Henriette, Hadjiantonis, Marios, Jones, Callum R. T., & Paranjape, Shruti. All-multiplicity one-loop amplitudes in Born-Infeld electrodynamics from generalized unitarity.  United States.  https://doi.org/10.1007/jhep03(2020)009

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                    Elvang, Henriette, Hadjiantonis, Marios, Jones, Callum R. T., and Paranjape, Shruti. Mon .  
"All-multiplicity one-loop amplitudes in Born-Infeld electrodynamics from generalized unitarity".  United States.  https://doi.org/10.1007/jhep03(2020)009.  https://www.osti.gov/servlets/purl/1643785.

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@article{osti_1643785,

  title        = {All-multiplicity one-loop amplitudes in Born-Infeld electrodynamics from generalized unitarity},

  author       = {Elvang, Henriette and Hadjiantonis, Marios and Jones, Callum R. T. and Paranjape, Shruti},

  abstractNote = {We initiate a study of non-supersymmetric Born-Infeld electrodynamics in 4d at the quantum level. Explicit all-multiplicity expressions are calculated for the purely rational one-loop amplitudes in the self-dual (+ + … +) and next-to-self-dual (- + … +) helicity sectors. Using a supersymmetric decomposition, d-dimensional unitarity cuts of the integrand factorize into tree-amplitudes in a 4d model of Born-Infeld photons coupled to a massive complex scalar. The two-scalar tree-amplitudes needed to construct the Born-Infeld integrand are computed using two complimentary approaches: (1) as a double-copy of Yang-Mills coupled to a massive adjoint scalar with a dimensionally reduced form of Chiral Perturbation Theory, and (2) by imposing consistency with low-energy theorems under a reduction from 4d to 3d and T-duality. The Born-Infeld integrand is integrated in d = 4 - 2ϵ dimensions at order Ο(ϵ0) using the dimension-shifting formalism. We comment on the implications for electromagnetic duality in quantum Born-Infeld theory.},

  doi          = {10.1007/jhep03(2020)009},

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

  number       = 3,

  volume       = 2020,

  place        = {United States},

  year         = {2020},

  month        = {3}

}

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Title: All-multiplicity one-loop amplitudes in Born-Infeld electrodynamics from generalized unitarity

Abstract

Citation Formats

Vector Effective Field Theories from Soft Limits journal, June 2018

The computation of loop amplitudes in gauge theories journal, July 1992

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Limits on massless particles journal, October 1980

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SL(2,Z) duality of Born-Infeld theory from non-linear self-dual electrodynamics in 6 dimensions journal, September 1997

Pions as gluons in higher dimensions journal, April 2018

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Scattering equations and matrices: from Einstein to Yang-Mills, DBI and NLSM journal, July 2015

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Uniqueness from gauge invariance and the Adler zero journal, September 2019

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A periodic table of effective field theories journal, February 2017

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The infrared structure of Nambu-Goldstone bosons journal, October 2018

Non-linear electrodynamics from quantized strings journal, November 1985

Soft Photon and Graviton Theorems in Effective Field Theory journal, June 2017

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Unifying relations for scattering amplitudes journal, February 2018

Duality symmetric actions journal, January 1994

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

Effective Field Theories from Soft Limits of Scattering Amplitudes journal, June 2015

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Soft bootstrap and supersymmetry journal, January 2019

Singularities and Discontinuities of Feynman Amplitudes journal, September 1960

Dirichlet Branes and Ramond-Ramond Charges journal, December 1995

Consistency Conditions on the Strong Interactions Implied by a Partially Conserved Axial-Vector Current journal, February 1965

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Fusing gauge theory tree amplitudes into loop amplitudes journal, February 1995

Folgerungen aus der Diracschen Theorie des Positrons journal, November 1936

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One-loop amplitudes for e+e− to four partons journal, March 1998

Regularization and renormalization of gauge fields journal, July 1972

Supersymmetric regularization, two-loop QCD amplitudes, and coupling shifts journal, October 2002

Perturbative Quantum Gravity as a Double Copy of Gauge Theory journal, August 2010

Ultraviolet properties of N = 8 supergravity at five loops journal, October 2018

Recursion relations for gauge theory amplitudes with massive particles journal, July 2005

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Scattering Amplitudes from Soft Theorems and Infrared Behavior journal, February 2019

Recursion relations from soft theorems journal, March 2016

On-Shell Recursion Relations for Effective Field Theories journal, January 2016

Self-duality, helicity conservation, and normal ordering in nonlinear QED journal, October 2018

Massive loop amplitudes from unitarity journal, May 1996

Explicit results for all orders of the ɛ expansion of certain massive and massless diagrams journal, March 2000

Vector Effective Field Theories from Soft Limits
journal, June 2018

The computation of loop amplitudes in gauge theories
journal, July 1992

M5-brane and D-brane scattering amplitudes
journal, December 2017

Electric-magnetic duality rotations in non-linear electrodynamics
journal, November 1995

D-branes and T-duality
journal, July 1996

Limits on massless particles
journal, October 1980

All rational one-loop Einstein-Yang-Mills amplitudes at four points
journal, September 2018

SL(2,Z) duality of Born-Infeld theory from non-linear self-dual electrodynamics in 6 dimensions
journal, September 1997

Pions as gluons in higher dimensions
journal, April 2018

Scattering of Massless Particles in Arbitrary Dimensions
journal, October 2014

MHV, CSW and BCFW: field theory structures in string theory amplitudes
journal, November 2008

Scattering equations and matrices: from Einstein to Yang-Mills, DBI and NLSM
journal, July 2015

Probing scalar effective field theories with the soft limits of scattering amplitudes
journal, April 2017

Uniqueness from gauge invariance and the Adler zero
journal, September 2019

Soft bootstrap and effective field theories
journal, November 2019

A periodic table of effective field theories
journal, February 2017

Scattering of massless particles: scalars, gluons and gravitons
journal, July 2014

The infrared structure of Nambu-Goldstone bosons
journal, October 2018

Non-linear electrodynamics from quantized strings
journal, November 1985

Soft Photon and Graviton Theorems in Effective Field Theory
journal, June 2017

Multi-leg one-loop gravity amplitudes from gauge theory
journal, April 1999

Unifying relations for scattering amplitudes
journal, February 2018

Duality symmetric actions
journal, January 1994

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journal, September 2018

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

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journal, June 2015

On duality symmetry in perturbative quantum theory
journal, October 2012

Soft bootstrap and supersymmetry
journal, January 2019

Singularities and Discontinuities of Feynman Amplitudes
journal, September 1960

Dirichlet Branes and Ramond-Ramond Charges
journal, December 1995

Consistency Conditions on the Strong Interactions Implied by a Partially Conserved Axial-Vector Current
journal, February 1965

Tree-level amplitudes in the nonlinear sigma model
journal, May 2013

Fusing gauge theory tree amplitudes into loop amplitudes
journal, February 1995

Folgerungen aus der Diracschen Theorie des Positrons
journal, November 1936

d-dimensional unitarity cut method
journal, February 2007

One-loop amplitudes for e+e− to four partons
journal, March 1998

Regularization and renormalization of gauge fields
journal, July 1972

Supersymmetric regularization, two-loop QCD amplitudes, and coupling shifts
journal, October 2002

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Ultraviolet properties of $N = 8$ supergravity at five loops
journal, October 2018

Recursion relations for gauge theory amplitudes with massive particles
journal, July 2005

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Self-duality, helicity conservation, and normal ordering in nonlinear QED
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Massive loop amplitudes from unitarity
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