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

Journal Article · 02 March 2020 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep03(2020)009 · OSTI ID:1643785

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

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

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

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.

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

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

Grant/Contract Number:: SC0007859

OSTI ID:: 1643785

Journal Information:: Journal of High Energy Physics (Online), Vol. 2020, Issue 3; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

References (50)

Vector Effective Field Theories from Soft Limits Cheung, Clifford; Kampf, Karol; Novotny, Jiri Physical Review Letters, Vol. 120, Issue 26 https://doi.org/10.1103/PhysRevLett.120.261602	journal	June 2018
The computation of loop amplitudes in gauge theories Bern, Zvi; Kosower, David A. Nuclear Physics B, Vol. 379, Issue 3 https://doi.org/10.1016/0550-3213(92)90134-W	journal	July 1992
M5-brane and D-brane scattering amplitudes Heydeman, Matthew; Schwarz, John H.; Wen, Congkao Journal of High Energy Physics, Vol. 2017, Issue 12 https://doi.org/10.1007/JHEP12(2017)003	journal	December 2017
Electric-magnetic duality rotations in non-linear electrodynamics Gibbons, G. W.; Rasheed, D. A. Nuclear Physics B, Vol. 454, Issue 1-2 https://doi.org/10.1016/0550-3213(95)00409-L	journal	November 1995
D-branes and T-duality Bergshoeff, E.; de Roo, M. Physics Letters B, Vol. 380, Issue 3-4 https://doi.org/10.1016/0370-2693(96)00523-0	journal	July 1996
Limits on massless particles Weinberg, Steven; Witten, Edward Physics Letters B, Vol. 96, Issue 1-2 https://doi.org/10.1016/0370-2693(80)90212-9	journal	October 1980
All rational one-loop Einstein-Yang-Mills amplitudes at four points Nandan, Dhritiman; Plefka, Jan; Travaglini, Gabriele Journal of High Energy Physics, Vol. 2018, Issue 9 https://doi.org/10.1007/JHEP09(2018)011	journal	September 2018
SL(2,Z) duality of Born-Infeld theory from non-linear self-dual electrodynamics in 6 dimensions Berman, David Physics Letters B, Vol. 409, Issue 1-4 https://doi.org/10.1016/S0370-2693(97)00919-2	journal	September 1997
Pions as gluons in higher dimensions Cheung, Clifford; Remmen, Grant N.; Shen, Chia-Hsien Journal of High Energy Physics, Vol. 2018, Issue 4 https://doi.org/10.1007/JHEP04(2018)129	journal	April 2018
Scattering of Massless Particles in Arbitrary Dimensions Cachazo, Freddy; He, Song; Yuan, Ellis Ye Physical Review Letters, Vol. 113, Issue 17 https://doi.org/10.1103/PhysRevLett.113.171601	journal	October 2014
MHV, CSW and BCFW: field theory structures in string theory amplitudes Boels, Rutger; Larsen, Kasper Jens; Obers, Niels A. Journal of High Energy Physics, Vol. 2008, Issue 11 https://doi.org/10.1088/1126-6708/2008/11/015	journal	November 2008
Scattering equations and matrices: from Einstein to Yang-Mills, DBI and NLSM Cachazo, Freddy; He, Song; Yuan, Ellis Ye Journal of High Energy Physics, Vol. 2015, Issue 7 https://doi.org/10.1007/JHEP07(2015)149	journal	July 2015
Probing scalar effective field theories with the soft limits of scattering amplitudes Padilla, Antonio; Stefanyszyn, David; Wilson, Toby Journal of High Energy Physics, Vol. 2017, Issue 4 https://doi.org/10.1007/JHEP04(2017)015	journal	April 2017
Uniqueness from gauge invariance and the Adler zero Rodina, Laurentiu Journal of High Energy Physics, Vol. 2019, Issue 9 https://doi.org/10.1007/JHEP09(2019)084	journal	September 2019
Soft bootstrap and effective field theories Low, Ian; Yin, Zhewei Journal of High Energy Physics, Vol. 2019, Issue 11 https://doi.org/10.1007/JHEP11(2019)078	journal	November 2019
A periodic table of effective field theories Cheung, Clifford; Kampf, Karol; Novotny, Jiri Journal of High Energy Physics, Vol. 2017, Issue 2 https://doi.org/10.1007/JHEP02(2017)020	journal	February 2017
Scattering of massless particles: scalars, gluons and gravitons Cachazo, Freddy; He, Song; Yuan, Ellis Ye Journal of High Energy Physics, Vol. 2014, Issue 7 https://doi.org/10.1007/JHEP07(2014)033	journal	July 2014
The infrared structure of Nambu-Goldstone bosons Low, Ian; Yin, Zhewei Journal of High Energy Physics, Vol. 2018, Issue 10 https://doi.org/10.1007/JHEP10(2018)078	journal	October 2018
Non-linear electrodynamics from quantized strings Fradkin, E. S.; Tseytlin, A. A. Physics Letters B, Vol. 163, Issue 1-4 https://doi.org/10.1016/0370-2693(85)90205-9	journal	November 1985
Soft Photon and Graviton Theorems in Effective Field Theory Elvang, Henriette; Jones, Callum R. T.; Naculich, Stephen G. Physical Review Letters, Vol. 118, Issue 23 https://doi.org/10.1103/PhysRevLett.118.231601	journal	June 2017
Scattering Amplitudes in Gauge Theory and Gravity Elvang, Henriette; Huang, Yu-tin Cambridge University Press https://doi.org/10.1017/CBO9781107706620	book	January 2015
Multi-leg one-loop gravity amplitudes from gauge theory Bern, Z.; Dixon, L.; Perelstein, M. Nuclear Physics B, Vol. 546, Issue 1-2 https://doi.org/10.1016/S0550-3213(99)00029-2	journal	April 1999
Unifying relations for scattering amplitudes Cheung, Clifford; Shen, Chia-Hsien; Wen, Congkao Journal of High Energy Physics, Vol. 2018, Issue 2 https://doi.org/10.1007/JHEP02(2018)095	journal	February 2018
Duality symmetric actions Schwarz, John H.; Sen, Ashoke Nuclear Physics B, Vol. 411, Issue 1 https://doi.org/10.1016/0550-3213(94)90053-1	journal	January 1994
Canceling the U ( 1 ) Anomaly in the S Matrix of N = 4 Supergravity Bern, Zvi; Parra-Martinez, Julio; Roiban, Radu Physical Review Letters, Vol. 121, Issue 10 https://doi.org/10.1103/PhysRevLett.121.101604	journal	September 2018
Some properties of scattering amplitudes in supersymmetric theories Grisaru, M. T.; Pendleton, H. N. Nuclear Physics B, Vol. 124, Issue 1 https://doi.org/10.1016/0550-3213(77)90277-2	journal	June 1977
Effective Field Theories from Soft Limits of Scattering Amplitudes Cheung, Clifford; Kampf, Karol; Novotny, Jiri Physical Review Letters, Vol. 114, Issue 22 https://doi.org/10.1103/PhysRevLett.114.221602	journal	June 2015
On duality symmetry in perturbative quantum theory Roiban, R.; Tseytlin, A. A. Journal of High Energy Physics, Vol. 2012, Issue 10 https://doi.org/10.1007/JHEP10(2012)099	journal	October 2012
Singularities and Discontinuities of Feynman Amplitudes Cutkosky, R. E. Journal of Mathematical Physics, Vol. 1, Issue 5 https://doi.org/10.1063/1.1703676	journal	September 1960
Dirichlet Branes and Ramond-Ramond Charges Polchinski, Joseph Physical Review Letters, Vol. 75, Issue 26 https://doi.org/10.1103/PhysRevLett.75.4724	journal	December 1995
Consistency Conditions on the Strong Interactions Implied by a Partially Conserved Axial-Vector Current Adler, Stephen L. Physical Review, Vol. 137, Issue 4B https://doi.org/10.1103/PhysRev.137.B1022	journal	February 1965
Tree-level amplitudes in the nonlinear sigma model Kampf, Karol; Novotný, Jirí; Trnka, Jaroslav Journal of High Energy Physics, Vol. 2013, Issue 5 https://doi.org/10.1007/JHEP05(2013)032	journal	May 2013
Fusing gauge theory tree amplitudes into loop amplitudes Bern, Zvi; Dixon, Lance; Dunbar, David C. Nuclear Physics B, Vol. 435, Issue 1-2 https://doi.org/10.1016/0550-3213(94)00488-Z	journal	February 1995
Folgerungen aus der Diracschen Theorie des Positrons Heisenberg, W.; Euler, H. Zeitschrift f�r Physik, Vol. 98, Issue 11-12 https://doi.org/10.1007/BF01343663	journal	November 1936
d-dimensional unitarity cut method Anastasiou, Charalampos; Britto, Ruth; Feng, Bo Physics Letters B, Vol. 645, Issue 2-3 https://doi.org/10.1016/j.physletb.2006.12.022	journal	February 2007
One-loop amplitudes for e+e− to four partons Bern, Zvi; Dixon, Lance; Kosower, David A. Nuclear Physics B, Vol. 513, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00703-7	journal	March 1998
Regularization and renormalization of gauge fields 't Hooft, G.; Veltman, M. Nuclear Physics B, Vol. 44, Issue 1 https://doi.org/10.1016/0550-3213(72)90279-9	journal	July 1972
Supersymmetric regularization, two-loop QCD amplitudes, and coupling shifts Bern, Z.; De Freitas, A.; Dixon, L. Physical Review D, Vol. 66, Issue 8 https://doi.org/10.1103/PhysRevD.66.085002	journal	October 2002
Perturbative Quantum Gravity as a Double Copy of Gauge Theory Bern, Zvi; Carrasco, John Joseph M.; Johansson, Henrik Physical Review Letters, Vol. 105, Issue 6 https://doi.org/10.1103/PhysRevLett.105.061602	journal	August 2010
Ultraviolet properties of N = 8 supergravity at five loops Bern, Zvi; Carrasco, John Joseph; Chen, Wei-Ming Physical Review D, Vol. 98, Issue 8 https://doi.org/10.1103/PhysRevD.98.086021	journal	October 2018
Recursion relations for gauge theory amplitudes with massive particles Badger, Simon D.; Glover, E. W. Nigel; Khoze, Valentin V. Journal of High Energy Physics, Vol. 2005, Issue 07 https://doi.org/10.1088/1126-6708/2005/07/025	journal	July 2005
All-multiplicity amplitudes with massive scalars Forde, Darren; Kosower, David A. Physical Review D, Vol. 73, Issue 6 https://doi.org/10.1103/PhysRevD.73.065007	journal	March 2006
Scattering Amplitudes from Soft Theorems and Infrared Behavior Rodina, Laurentiu Physical Review Letters, Vol. 122, Issue 7 https://doi.org/10.1103/PhysRevLett.122.071601	journal	February 2019
Recursion relations from soft theorems Luo, Hui; Wen, Congkao Journal of High Energy Physics, Vol. 2016, Issue 3 https://doi.org/10.1007/JHEP03(2016)088	journal	March 2016
On-Shell Recursion Relations for Effective Field Theories Cheung, Clifford; Kampf, Karol; Novotny, Jiri Physical Review Letters, Vol. 116, Issue 4 https://doi.org/10.1103/PhysRevLett.116.041601	journal	January 2016
Self-duality, helicity conservation, and normal ordering in nonlinear QED Novotný, Jiří Physical Review D, Vol. 98, Issue 8 https://doi.org/10.1103/PhysRevD.98.085015	journal	October 2018
Massive loop amplitudes from unitarity Bern, Z.; Morgan, A. G. Nuclear Physics B, Vol. 467, Issue 3 https://doi.org/10.1016/0550-3213(96)00078-8	journal	May 1996
Explicit results for all orders of the ɛ expansion of certain massive and massless diagrams Davydychev, A. I. Physical Review D, Vol. 61, Issue 8 https://doi.org/10.1103/PhysRevD.61.087701	journal	March 2000
All-Multiplicity Amplitudes with Massive Scalars Forde, Darren; Kosower, David A. arXiv https://doi.org/10.48550/arxiv.hep-th/0507292	text	January 2005
One-loop corrections to the D3 brane action Shmakova, Marina arXiv https://doi.org/10.48550/arxiv.hep-th/9906239	text	January 1999

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