Scattering amplitudes in $\mathcal{N}=2 $ Maxwell-Einstein and Yang-Mills/Einstein supergravity

Chiodaroli, Marco; Gunaydin, Murat; Johansson, Henrik; Roiban, Radu

doi:10.1007/JHEP01(2015)081

Title: Scattering amplitudes in $$\mathcal{N}=2 $$ Maxwell-Einstein and Yang-Mills/Einstein supergravity

Journal Article · Thu Jan 15 00:00:00 EST 2015 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP01(2015)081· OSTI ID:1440909

Chiodaroli, Marco ^[1]; Gunaydin, Murat ^[2]; Johansson, Henrik ^[3]; Roiban, Radu ^[2]

Albert-Einstein Inst., Potsdam (Germany). Max-Planck-Inst. fur Gravitationsphysik
Pennsylvania State Univ., University Park, PA (United States)
European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theory Division, Physics Dept.

We expose a double-copy structure in the scattering amplitudes of the generic Jordan family of N = 2 Maxwell-Einstein and Yang-Mills/Einstein supergravity theories in four and five dimensions. The Maxwell-Einstein supergravity amplitudes are obtained through the color/kinematics duality as a product of two gauge-theory factors; one originating from pure N = 2 super-Yang-Mills theory and the other from the dimensional reduction of a bosonic higher-dimensional pure Yang-Mills theory. We identify a specific symplectic frame in four dimensions for which the on-shell fields and amplitudes from the double-copy construction can be identified with the ones obtained from the supergravity Lagrangian and Feynman-rule computations. The Yang-Mills/Einstein supergravity theories are obtained by gauging a compact subgroup of the isometry group of their Maxwell-Einstein counterparts. For the generic Jordan family this process is identified with the introduction of cubic scalar couplings on the bosonic gauge-theory side, which through the double copy are responsible for the non-abelian vector interactions in the supergravity theory. As a demonstration of the power of this structure, we present explicit computations at treelevel and one loop. Lastly, the double-copy construction allows us to obtain compact expressions for the supergravity superamplitudes, which are naturally organized as polynomials in the gauge coupling constant.

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Research Organization:: Pennsylvania State Univ., University Park, PA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0010534; SC0008745

OSTI ID:: 1440909

Journal Information:: Journal of High Energy Physics (Online), Vol. 2015, Issue 1; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 98 works

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E7(7) constraints on counterterms in N=8 supergravity Beisert, Niklas; Elvang, Henriette; Freedman, Daniel Z. arXiv https://doi.org/10.48550/arxiv.1009.1643	text	January 2010
A Proof of the Explicit Minimal-basis Expansion of Tree Amplitudes in Gauge Field Theory Chen, Yi-Xin; Du, Yi-Jian; Feng, Bo arXiv https://doi.org/10.48550/arxiv.1101.0009	text	January 2011
A Color Dual Form for Gauge-Theory Amplitudes Bern, Zvi; Dennen, Tristan arXiv https://doi.org/10.48550/arxiv.1103.0312	text	January 2011
N=8 Counterterms and E7(7) Current Conservation Kallosh, Renata arXiv https://doi.org/10.48550/arxiv.1104.5480	text	January 2011
The Kinematic Algebra From the Self-Dual Sector Monteiro, Ricardo; O'Connell, Donal arXiv https://doi.org/10.48550/arxiv.1105.2565	text	January 2011
The vanishing volume of D=4 superspace Bossard, G.; Howe, P. S.; Stelle, K. S. arXiv https://doi.org/10.48550/arxiv.1105.6087	text	January 2011
Superconformal symmetry and maximal supergravity in various dimensions Chiodaroli, Marco; Gunaydin, Murat; Roiban, Radu arXiv https://doi.org/10.48550/arxiv.1108.3085	text	January 2011
New Relations for Three-Dimensional Supersymmetric Scattering Amplitudes Bargheer, Till; He, Song; McLoughlin, Tristan arXiv https://doi.org/10.48550/arxiv.1203.0562	text	January 2012
The Structure of n-Point One-Loop Open Superstring Amplitudes Mafra, Carlos R.; Schlotterer, Oliver arXiv https://doi.org/10.48550/arxiv.1203.6215	text	January 2012
Correlation functions of local composite operators from generalized unitarity Engelund, O. Tang; Roiban, R. arXiv https://doi.org/10.48550/arxiv.1209.0227	preprint	January 2012
Relationship Between Gravity and Gauge Scattering in the High Energy Limit Saotome, Ryo; Akhoury, Ratindranath arXiv https://doi.org/10.48550/arxiv.1210.8111	text	January 2012
Colour-Kinematics Duality for One-Loop Rational Amplitudes Boels, Rutger H.; Isermann, Reinke Sven; Monteiro, Ricardo arXiv https://doi.org/10.48550/arxiv.1301.4165	text	January 2013
Polylogarithms, Multiple Zeta Values and Superstring Amplitudes Broedel, Johannes; Schlotterer, Oliver; Stieberger, Stephan arXiv https://doi.org/10.48550/arxiv.1304.7267	text	January 2013
Construction of an effective Yang-Mills Lagrangian with manifest BCJ duality Tolotti, Mathias; Weinzierl, Stefan arXiv https://doi.org/10.48550/arxiv.1306.2975	text	January 2013
The Kinematic Algebras from the Scattering Equations Monteiro, Ricardo; O'Connell, Donal arXiv https://doi.org/10.48550/arxiv.1311.1151	text	January 2013
BCJ duality and double copy in the closed string sector Ochirov, Alexander; Tourkine, Piotr arXiv https://doi.org/10.48550/arxiv.1312.1326	text	January 2013
Closed String Amplitudes as Single-Valued Open String Amplitudes Stieberger, Stephan; Taylor, Tomasz R. arXiv https://doi.org/10.48550/arxiv.1401.1218	text	January 2014
Note on symmetric BCJ numerator Fu, Chih-Hao; Du, Yi-Jian; Feng, Bo arXiv https://doi.org/10.48550/arxiv.1403.6262	text	January 2014
Scattering equations and BCJ relations for gauge and gravitational amplitudes with massive scalar particles Naculich, Stephen G. arXiv https://doi.org/10.48550/arxiv.1407.7836	text	January 2014
Is N = 8 Supergravity Ultraviolet Finite? Bern, Zvi; Dixon, Lance J.; Roiban, Radu arXiv https://doi.org/10.48550/arxiv.hep-th/0611086	text	January 2006
Symmetry structure of special geometries de Wit, B.; Vanderseypen, F.; Van Proeyen, A. arXiv https://doi.org/10.48550/arxiv.hep-th/9210068	text	January 1992
Low-Energy Analysis of $M$ and $F$ Theories on Calabi-Yau Threefolds Ferrara, Sergio; Minasian, Ruben; Sagnotti, Augusto arXiv https://doi.org/10.48550/arxiv.hep-th/9604097	text	January 1996
New Couplings of Six-Dimensional Supergravity Nishino, Hitoshi; Sezgin, Ergin arXiv https://doi.org/10.48550/arxiv.hep-th/9703075	text	January 1997
Gravitationally dressed Parke-Taylor amplitudes Selivanov, K. arXiv https://doi.org/10.48550/arxiv.hep-th/9711111	text	January 1997
Multi-Leg One-Loop Gravity Amplitudes from Gauge Theory Bern, Z.; Dixon, L.; Perelstein, M. arXiv https://doi.org/10.48550/arxiv.hep-th/9811140	text	January 1998

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One-loop amplitudes for N $$ \mathcal{N} $$ = 2 homogeneous supergravities Ben-Shahar, Maor; Chiodaroli, Marco Journal of High Energy Physics, Vol. 2019, Issue 3 https://doi.org/10.1007/jhep03(2019)153	journal	March 2019
Gravity as the square of Yang–Mills? Borsten, L.; Duff, M. J. Physica Scripta, Vol. 90, Issue 10 https://doi.org/10.1088/0031-8949/90/10/108012	journal	September 2015
String Amplitudes from Field-Theory Amplitudes and Vice Versa He, Song; Teng, Fei; Zhang, Yong Physical Review Letters, Vol. 122, Issue 21 https://doi.org/10.1103/physrevlett.122.211603	journal	May 2019
Positive helicity Einstein-Yang-Mills amplitudes from the double copy method Faller, Josua; Plefka, Jan Physical Review D, Vol. 99, Issue 4 https://doi.org/10.1103/physrevd.99.046008	journal	February 2019
Gauged Supergravities and Spontaneous Supersymmetry Breaking from the Double Copy Construction Chiodaroli, M.; Günaydin, M.; Johansson, H. Physical Review Letters, Vol. 120, Issue 17 https://doi.org/10.1103/PhysRevLett.120.171601	journal	April 2018
Double copy for massive quantum particles with spin Johansson, Henrik; Ochirov, Alexander ETH Zurich https://doi.org/10.3929/ethz-b-000371463	text	January 2019
String-inspired BCJ numerators for one-loop MHV amplitudes He, Song; Monteiro, Ricardo; Schlotterer, Oliver arXiv https://doi.org/10.48550/arxiv.1507.06288	text	January 2015
Amplitude relations in heterotic string theory and Einstein-Yang-Mills Schlotterer, Oliver arXiv https://doi.org/10.48550/arxiv.1608.00130	text	January 2016
Abelian Z-theory: NLSM amplitudes and alpha'-corrections from the open string Carrasco, John Joseph M.; Mafra, Carlos R.; Schlotterer, Oliver arXiv https://doi.org/10.48550/arxiv.1608.02569	text	January 2016
Expanding Einstein-Yang-Mills by Yang-Mills in CHY frame Teng, Fei; Feng, Bo arXiv https://doi.org/10.48550/arxiv.1703.01269	text	January 2017
The Kerr-Schild double copy in curved spacetime Bahjat-Abbas, Nadia; Luna, Andrés; White, Chris D. arXiv https://doi.org/10.48550/arxiv.1710.01953	text	January 2017
Gravitational radiation from the classical spinning double copy Li, Jingping; Prabhu, Siddharth G. arXiv https://doi.org/10.48550/arxiv.1803.02405	text	January 2018
Perturbiner Methods for Effective Field Theories and the Double Copy Mizera, Sebastian; Skrzypek, Barbara arXiv https://doi.org/10.48550/arxiv.1809.02096	text	January 2018
Two-loop $\mathcal{N}=2$ SQCD amplitudes with external matter from iterated cuts Kälin, Gregor; Mogull, Gustav; Ochirov, Alexander arXiv https://doi.org/10.48550/arxiv.1811.09604	text	January 2018
UV considerations on scattering amplitudes in a web of theories Carrasco, John Joseph M.; Rodina, Laurentiu arXiv https://doi.org/10.48550/arxiv.1908.08033	text	January 2019

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