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Title: Five-loop four-point integrand of N = 8 supergravity as a generalized double copy

Journal Article · · Physical Review D

Not provided.

Research Organization:
Univ. of California, Los Angeles, CA (United States); Pennsylvania State Univ., University Park, PA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
DOE Contract Number:
SC0009937; SC0013699
OSTI ID:
1541150
Journal Information:
Physical Review D, Vol. 96, Issue 12; ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English

References (179)

One-loop n-point gauge theory amplitudes, unitarity and collinear limits journal August 1994
Fusing gauge theory tree amplitudes into loop amplitudes journal February 1995
Maximally supersymmetric planar Yang-Mills amplitudes at five loops journal December 2007
New relations for gauge-theory amplitudes journal October 2008
Perturbative Quantum Gravity as a Double Copy of Gauge Theory journal August 2010
Integration by parts: The algorithm to calculate β-functions in 4 loops journal November 1981
High-Precision Calculation of Multiloop Feynman Integrals by Difference Equations journal December 2000
The analytical value of the electron (g − 2) at order α3 in QED journal June 1996
Automatic Integral Reduction for Higher Order Perturbative Calculations journal July 2004
FIRE5: A C++ implementation of Feynman Integral REduction journal April 2015
Towards a basis for planar two-loop integrals journal February 2011
A new algorithm for the generation of unitarity-compatible integration by parts relations journal January 2012
Elliptic functions and maximal unitarity journal April 2015
Two-loop integrand decomposition into master integrals and surface terms journal December 2016
Integration-by-parts reductions from unitarity cuts and algebraic geometry journal February 2016
Cancellations Beyond Finiteness in N = 8 Supergravity at Three Loops journal April 2007
Manifest ultraviolet behavior for the three-loop four-point amplitude of N = 8 supergravity journal November 2008
Ultraviolet Behavior of N = 8 Supergravity at Four Loops journal August 2009
Simplifying multiloop integrands and ultraviolet divergences of gauge theory and gravity amplitudes journal May 2012
Ultraviolet Properties of N = 4 Supergravity at Four Loops journal December 2013
Absence of Three-Loop Four-Point Ultraviolet Divergences in N = 4 Supergravity journal May 2012
Ultraviolet structure of half-maximal supergravity with matter multiplets at two and three loops journal September 2013
Enhanced ultraviolet cancellations in N = 5 supergravity at four loops journal November 2014
Gravity Amplitudes as Generalized Double Copies of Gauge-Theory Amplitudes journal May 2017
The N = 8 supergravity theory. I. The lagrangian journal December 1978
The SO(8) supergravity journal November 1979
Prescriptive unitarity journal June 2017
The all-loop integrand for scattering amplitudes in planar $ \mathcal{N} = 4 $ SYM journal January 2011
Bootstrapping an NMHV amplitude through three loops journal October 2014
The four-loop six-gluon NMHV ratio function journal January 2016
Bootstrapping a Five-Loop Amplitude Using Steinmann Relations journal December 2016
One-loop four-point amplitudes in pure and matter-coupled $ \mathcal{N}\leq 4 $ supergravity journal March 2013
Scattering amplitudes in N = 2 $$ \mathcal{N}=2 $$ Maxwell-Einstein and Yang-Mills/Einstein supergravity journal January 2015
Pure gravities via color-kinematics duality for fundamental matter journal November 2015
Color-kinematics duality for QCD amplitudes journal January 2016
Spontaneously broken Yang-Mills-Einstein supergravities as double copies journal June 2017
Complete Construction of Magical, Symmetric, and Homogeneous N = 2 Supergravities as Double Copies of Gauge Theories journal June 2016
Twin supergravities from Yang-Mills theory squared journal July 2017
Gravity as the square of gauge theory journal September 2010
The momentum kernel of gauge and gravity theories journal January 2011
Explicit BCJ numerators from pure spinors journal July 2011
Explicit BCJ numerators of nonlinear simga model journal September 2016
Manifesting color-kinematics duality in the scattering equation formalism journal September 2016
BCJ numerators from reduced Pfaffian journal April 2017
Minimal Basis for Gauge Theory Amplitudes journal October 2009
A proof of the explicit minimal-basis expansion of tree amplitudes in gauge field theory journal February 2011
Proof of the fundamental BCJ relations for QCD amplitudes journal September 2015
The kinematic algebra from the self-dual sector journal July 2011
Symmetry for Flavor-Kinematics Duality from an Action journal March 2017
N 4 supergravity amplitudes from gauge theory at one loop journal November 2011
$ \mathcal{N} \geqslant {4} $ supergravity amplitudes from gauge theory at two loops journal December 2011
Five-point amplitudes in N = 4 super-Yang-Mills theory and N = 8 supergravity journal January 2012
Color-kinematics duality for pure Yang-Mills and gravity at one and two loops journal August 2015
String-inspired BCJ numerators for one-loop MHV amplitudes journal January 2016
Gravity on-shell diagrams journal November 2016
Two-loop supersymmetric QCD and half-maximal supergravity amplitudes journal September 2017
Black holes and the double copy journal December 2014
The classical double copy for Taub–NUT spacetime journal November 2015
Multi-centered N = 2 $$ \mathcal{N}=2 $$ BPS black holes: a double copy description journal April 2017
The double copy: Bremsstrahlung and accelerating black holes journal June 2016
Radiation and the classical double copy for color charges journal June 2017
Perturbative spacetimes from Yang-Mills theory journal April 2017
Bending of Light in Quantum Gravity journal February 2015
Light-like scattering in quantum gravity journal November 2016
Magic Square from Yang-Mills Squared journal April 2014
A magic pyramid of supergravities journal April 2014
Yang-Mills Origin of Gravitational Symmetries journal December 2014
Color-kinematic duality for form factors journal February 2013
Color-Kinematics Duality and Sudakov Form Factor at Five Loops for N = 4 Supersymmetric Yang-Mills Theory journal December 2016
New Relations for Three-Dimensional Supersymmetric Scattering Amplitudes journal June 2012
Equivalent D = 3 Supergravity Amplitudes from Double Copies of Three-Algebra and Two-Algebra Gauge Theories journal April 2013
On three-algebra and bi-fundamental matter amplitudes and integrability of supergravity journal November 2013
Amplitude relations in non-linear sigma model journal January 2014
Scattering equations and matrices: from Einstein to Yang-Mills, DBI and NLSM journal July 2015
Extensions of theories from soft limits journal June 2016
Non-abelian Z-theory: Berends-Giele recursion for the α ′-expansion of disk integrals journal January 2017
Semi-abelian Z-theory: NLSM+ϕ 3 from the open string journal August 2017
Abelian Z-theory: NLSM amplitudes and α ′ -corrections from the open string journal June 2017
Polylogarithms, multiple zeta values and superstring amplitudes journal August 2013
Closed string amplitudes as single-valued open string amplitudes journal April 2014
Universality in string interactions journal September 2016
Generic multiloop methods and application to {\cal N}=4 super-Yang–Mills journal October 2011
Double-copy constructions and unitarity cuts journal May 2016
Five-Loop Four-Point Amplitude of N = 4 Super-Yang-Mills Theory journal December 2012
Baikov-Lee representations of cut Feynman integrals journal June 2017
5 loops in 24/5 dimensions journal August 2010
Multi-loop amplitudes in maximally supersymmetric pure spinor field theory journal January 2011
String theory dualities and supergravity divergences journal June 2010
On duality symmetries of supergravity invariants journal January 2011
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The vanishing volume of D = 4 superspace journal September 2011
A relation between tree amplitudes of closed and open strings journal May 1986
On relations between multi-gluon and multi-graviton scattering journal August 1988
Multi-leg one-loop gravity amplitudes from gauge theory journal April 1999
On the relationship between Yang-Mills theory and gravity and its implication for ultraviolet divergences journal October 1998
One-loop n-point helicity amplitudes in (self-dual) gravity journal December 1998
New color decompositions for gauge amplitudes at tree and loop level journal April 2000
Evidence for a nonplanar amplituhedron journal June 2016
Recursion relations, generating functions, and unitarity sums in 𝒩 = 4 SYM theory journal April 2009
Structure of supersymmetric sums in multiloop unitarity cuts journal September 2009
Generalized unitarity and six-dimensional helicity journal April 2011
Graviton and Gluon Scattering from First Principles journal February 2017
BCJ relations from a new symmetry of gauge-theory amplitudes journal October 2016
Explicit formulae for Yang-Mills-Einstein amplitudes from the double copy journal July 2017
Multigluon cross sections and 5-jet production at hadron colliders journal January 1989
Dual identities inside the gluon and the graviton scattering amplitudes journal June 2010
Monodromy and Jacobi-like relations for color-ordered amplitudes journal June 2010
A current algebra for some gauge theory amplitudes journal November 1988
Complete four-loop four-point amplitude in N = 4 super-Yang-Mills theory journal December 2010
Method of calculating renormalization-group functions in the scheme of dimensional regularization journal May 1980
A simple method for calculating counterterms journal May 1985
Manifesting enhanced cancellations in supergravity: integrands versus integrals journal May 2017
Five-Loop Running of the QCD Coupling Constant journal February 2017
The five-loop beta function of Yang-Mills theory with fermions journal February 2017
Complete renormalization of QCD at five loops journal March 2017
Maximal unitarity at two loops journal February 2012
Uniqueness of two-loop master contours journal October 2012
Global residues and two-loop hepta-cuts journal September 2013
Maximal unitarity for the four-mass double box journal June 2014
Multivariate residues and maximal unitarity journal December 2013
Cuts from residues: the one-loop case journal June 2017
Unitarity cuts of integrals with doubled propagators journal July 2014
Explicit solutions of the 3-loop vacuum integral recurrence relations journal September 1996
Explicit solutions of the multi-loop integral recurrence relations and its application journal April 1997
Singularities and Discontinuities of Feynman Amplitudes journal September 1960
Integration by Parts: an Introduction journal July 2011
Ultraviolet cancellations in half-maximal supergravity as a consequence of the double-copy structure journal November 2012
Composite anomalies in supergravity journal July 1985
On the U(1) duality anomaly and the S-matrix of $ \mathcal{N} $ = 4 supergravity journal July 2013
Cancellation of conformal and chiral anomalies in N 5 supergravities journal February 2017
Absence of U(1) anomalous superamplitudes in N $$ \mathcal{N} $$ ≥ 5 supergravities journal May 2017
Curvature-squared multiplets, evanescent effects, and the U(1) anomaly in N = 4 supergravity journal September 2017
Cuts of Feynman Integrals in Baikov representation journal April 2017
Integration-by-parts reductions from unitarity cuts and algebraic geometry conference October 2016
Cuts of Feynman integrals in Baikov representation
  • Papadopoulos, Costas; Frellesvig, Hjalte Axel
  • Proceedings of 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology) — PoS(RADCOR2017) https://doi.org/10.22323/1.290.0006
conference July 2018
Complete renormalization of QCD at five loops text January 2017
Integration-by-parts reductions from unitarity cuts and algebraic geometry text January 2016
Maximally Supersymmetric Planar Yang-Mills Amplitudes at Five Loops text January 2007
Minimal Basis for Gauge Theory Amplitudes text January 2009
String theory dualities and supergravity divergences text January 2010
Monodromy and Jacobi-like Relations for Color-Ordered Amplitudes text January 2010
Gravity as the Square of Gauge Theory text January 2010
On duality symmetries of supergravity invariants text January 2010
E7(7) constraints on counterterms in N=8 supergravity text January 2010
A Proof of the Explicit Minimal-basis Expansion of Tree Amplitudes in Gauge Field Theory text January 2011
Integration by parts: An introduction text January 2011
The Kinematic Algebra From the Self-Dual Sector text January 2011
The vanishing volume of D=4 superspace text January 2011
Maximal Unitarity at Two Loops text January 2011
Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes text January 2012
New Relations for Three-Dimensional Supersymmetric Scattering Amplitudes text January 2012
Uniqueness of two-loop master contours text January 2012
Amplitude Relations in Non-linear Sigma Model text January 2013
Closed String Amplitudes as Single-Valued Open String Amplitudes text January 2014
Pure Gravities via Color-Kinematics Duality for Fundamental Matter text January 2014
Bootstrapping an NMHV amplitude through three loops text January 2014
FIRE5: a C++ implementation of Feynman Integral REduction text January 2014
The classical double copy for Taub-NUT spacetime text January 2015
String-inspired BCJ numerators for one-loop MHV amplitudes text January 2015
Two-loop Integrand Decomposition into Master Integrals and Surface Terms text January 2015
Evidence for a Nonplanar Amplituhedron text January 2015
The double copy: Bremsstrahlung and accelerating black holes text January 2016
Gravity On-shell Diagrams text January 2016
Five-Loop Running of the QCD coupling constant text January 2016
Abelian Z-theory: NLSM amplitudes and alpha'-corrections from the open string text January 2016
Bootstrapping a Five-Loop Amplitude Using Steinmann Relations text January 2016
Light-like Scattering in Quantum Gravity text January 2016
Radiation and the classical double copy for color charges text January 2016
The five-loop beta function of Yang-Mills theory with fermions text January 2017
Cuts from residues: the one-loop case text January 2017
Manifesting enhanced cancellations in supergravity: integrands versus integrals text January 2017
Prescriptive Unitarity text January 2017
Baikov-Lee Representations Of Cut Feynman Integrals text January 2017
Automatic Integral Reduction for Higher Order Perturbative Calculations text January 2004
One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits text January 1994
Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes text January 1994
The analytical value of the electron (g-2) at order alpha^3 in QED text January 1996
On the Relationship between Yang-Mills Theory and Gravity and its Implication for Ultraviolet Divergences text January 1998
Multi-Leg One-Loop Gravity Amplitudes from Gauge Theory text January 1998

Cited By (14)

Ultraviolet properties of N = 8 supergravity at five loops journal October 2018
Positive helicity Einstein-Yang-Mills amplitudes from the double copy method journal February 2019
All-Multiplicity Nonplanar Amplitude Integrands in Maximally Supersymmetric Yang-Mills Theory at Two Loops journal March 2020
An Asymptotically Safe Guide to Quantum Gravity and Matter journal January 2019
Type D spacetimes and the Weyl double copy journal February 2019
Spinning particles, axion radiation, and the classical double copy journal May 2018
Maximally supersymmetric amplitudes at infinite loop momentum journal March 2019
Double-Copy Structure of One-Loop Open-String Amplitudes journal July 2018
Gravitational radiation from the classical spinning double copy journal May 2018
Inelastic black hole scattering from charged scalar amplitudes journal March 2018
Gravitational radiation from the classical spinning double copy text January 2018
An asymptotically safe guide to quantum gravity and matter preprint January 2018
Type D Spacetimes and the Weyl Double Copy text January 2018
Positive helicity Einstein-Yang-Mills amplitudes from the Double Copy text January 2018

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