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

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [3];  [2]
  1. Albert-Einstein Inst., Potsdam (Germany). Max-Planck-Inst. fur Gravitationsphysik; Max-Planck-Institut f¨ur Gravitationsphysik, Albert-Einstein-Institut, Am M¨uhlenberg 1, 14476 Potsdam, Germany
  2. Pennsylvania State Univ., University Park, PA (United States)
  3. European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theory Division, Physics Dept.
+ Show Author Affiliations
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.
Research Organization:
Pennsylvania State Univ., University Park, PA (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
SC0010534; SC0008745
OSTI ID:
1440909
Alternate ID(s):
OSTI ID: 22574991
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 1 Vol. 2015; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English

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String-inspired BCJ numerators for one-loop MHV amplitudes journal January 2016
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Gluons and gravitons at one loop from ambitwistor strings journal March 2018
One-loop amplitudes for N $$ \mathcal{N} $$ = 2 homogeneous supergravities journal March 2019
BCJ numerators from reduced Pfaffian journal April 2017
Multi-centered N = 2 $$ \mathcal{N}=2 $$ BPS black holes: a double copy description journal April 2017
Perturbative spacetimes from Yang-Mills theory journal April 2017
Expanding Einstein-Yang-Mills by Yang-Mills in CHY frame journal May 2017
The double copy: Bremsstrahlung and accelerating black holes journal June 2016
Spontaneously broken Yang-Mills-Einstein supergravities as double copies journal June 2017
Abelian Z-theory: NLSM amplitudes and α ′ -corrections from the open string journal June 2017
Scattering equations and matrices: from Einstein to Yang-Mills, DBI and NLSM journal July 2015
Explicit formulae for Yang-Mills-Einstein amplitudes from the double copy journal July 2017
Two-loop $$ \mathcal{N} $$ = 2 SQCD amplitudes with external matter from iterated cuts journal July 2019
Explicit BCJ numerators of nonlinear simga model journal September 2016
Two-loop supersymmetric QCD and half-maximal supergravity amplitudes journal September 2017
Expansion of Einstein-Yang-Mills amplitude journal September 2017
Double copy for massive quantum particles with spin journal September 2019
A double copy for N = 2 $$ \mathcal{N}=2 $$ supergravity: a linearised tale told on-shell journal October 2016
Perturbiner methods for effective field theories and the double copy journal October 2018
New ambitwistor string theories journal November 2015
Pure gravities via color-kinematics duality for fundamental matter journal November 2015
Amplitude relations in heterotic string theory and Einstein-Yang-Mills journal November 2016
Overcoming obstacles to colour-kinematics duality at two loops journal December 2015
The Kerr-Schild double copy in curved spacetime journal December 2017
Two-loop scattering amplitudes: double-forward limit and colour-kinematics duality journal December 2019
Gravity as the square of Yang–Mills? journal September 2015
Gauged Supergravities and Spontaneous Supersymmetry Breaking from the Double Copy Construction journal April 2018
UV considerations on scattering amplitudes in a web of theories journal December 2019
Graviton-photon scattering journal March 2015
Twin supergravities from Yang-Mills theory squared journal July 2017
Five-loop four-point integrand of N = 8 supergravity as a generalized double copy journal December 2017
D = 6 , N = ( 2 , 0 ) and N = ( 4 , 0 ) theories journal March 2018
Radiative double copy for Einstein-Yang-Mills theory journal April 2018
Gravitational radiation from the classical spinning double copy journal May 2018
Ultraviolet properties of N = 8 supergravity at five loops journal October 2018
Effective action of dilaton gravity as the classical double copy of Yang-Mills theory journal January 2019
Positive helicity Einstein-Yang-Mills amplitudes from the double copy method journal February 2019
Complete Construction of Magical, Symmetric, and Homogeneous N = 2 Supergravities as Double Copies of Gauge Theories journal June 2016
Gravity Amplitudes as Generalized Double Copies of Gauge-Theory Amplitudes journal May 2017
String Amplitudes from Field-Theory Amplitudes and Vice Versa journal May 2019
Double copy for massive quantum particles with spin text January 2019
String-inspired BCJ numerators for one-loop MHV amplitudes text January 2015
Amplitude relations in heterotic string theory and Einstein-Yang-Mills text January 2016
Abelian Z-theory: NLSM amplitudes and alpha'-corrections from the open string text January 2016
Expanding Einstein-Yang-Mills by Yang-Mills in CHY frame text January 2017
The Kerr-Schild double copy in curved spacetime text January 2017
Gravitational radiation from the classical spinning double copy text January 2018
Perturbiner Methods for Effective Field Theories and the Double Copy text January 2018
Two-loop $\mathcal{N}=2$ SQCD amplitudes with external matter from iterated cuts text January 2018
UV considerations on scattering amplitudes in a web of theories text January 2019

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Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
79 ASTRONOMY AND ASTROPHYSICS
Amplitudes
Extended Supersymmetry
Models
Scattering
Supergravity