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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:
 [1];  [1]; ORCiD logo [1];  [1]
  1. Univ. of Michigan, Ann Arbor, MI (United States)
Publication Date:
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. https://doi.org/10.1007/jhep03(2020)009.
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
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.
@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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Works referenced in this record:

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

  • Heydeman, Matthew; Schwarz, John H.; Wen, Congkao
  • Journal of High Energy Physics, Vol. 2017, Issue 12
  • DOI: 10.1007/JHEP12(2017)003

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

  • Nandan, Dhritiman; Plefka, Jan; Travaglini, Gabriele
  • Journal of High Energy Physics, Vol. 2018, Issue 9
  • DOI: 10.1007/JHEP09(2018)011

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

  • Cheung, Clifford; Remmen, Grant N.; Shen, Chia-Hsien
  • Journal of High Energy Physics, Vol. 2018, Issue 4
  • DOI: 10.1007/JHEP04(2018)129

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

  • Cachazo, Freddy; He, Song; Yuan, Ellis Ye
  • Journal of High Energy Physics, Vol. 2015, Issue 7
  • DOI: 10.1007/JHEP07(2015)149

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

  • Padilla, Antonio; Stefanyszyn, David; Wilson, Toby
  • Journal of High Energy Physics, Vol. 2017, Issue 4
  • DOI: 10.1007/JHEP04(2017)015

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

  • Cheung, Clifford; Kampf, Karol; Novotny, Jiri
  • Journal of High Energy Physics, Vol. 2017, Issue 2
  • DOI: 10.1007/JHEP02(2017)020

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

  • Cachazo, Freddy; He, Song; Yuan, Ellis Ye
  • Journal of High Energy Physics, Vol. 2014, Issue 7
  • DOI: 10.1007/JHEP07(2014)033

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

  • Cheung, Clifford; Shen, Chia-Hsien; Wen, Congkao
  • Journal of High Energy Physics, Vol. 2018, Issue 2
  • DOI: 10.1007/JHEP02(2018)095

Duality symmetric actions
journal, January 1994


Canceling the U ( 1 ) Anomaly in the S Matrix of N = 4 Supergravity
journal, September 2018


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


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


On duality symmetry in perturbative quantum theory
journal, October 2012


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

Singularities and Discontinuities of Feynman Amplitudes
journal, September 1960

  • Cutkosky, R. E.
  • Journal of Mathematical Physics, Vol. 1, Issue 5
  • DOI: 10.1063/1.1703676

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

  • Kampf, Karol; Novotný, Jirí; Trnka, Jaroslav
  • Journal of High Energy Physics, Vol. 2013, Issue 5
  • DOI: 10.1007/JHEP05(2013)032