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H. Kawai, D. Lewellen and H. Tye, ”A Relation Betwwen Tree Amplitudes of Closed and Open Strings”, Nucl.Phys.B269 (1986)1
1986
Earlier work this paper cites.
Z. Bern, A. De Freitas and H. L. Wong, “On the coupling of gravitons to matter,” Phys. Rev. Lett. 84
2000
Earlier work this paper cites.
V. Del Duca, L. J. Dixon and F. Maltoni, “New color decompositions for gauge amplitudes at tree and loop level,” Nucl. Phys. B 571
2000
Earlier work this paper cites.
Z. Bern, “Perturbative quantum gravity and its relation to gauge theory,” Living Rev. Rel. 5
2002
Earlier work this paper cites.
Z. Bern, J. J. M. Carrasco and H. Johansson, “New Relations for Gauge-Theory Amplitudes,” Phys. Rev. D 78
Original
2008
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, P. H. Damgaard and P. Vanhove, “Minimal Basis for Gauge Theory Amplitudes,” Phys. Rev. Lett. 103
Original
2009
Earlier work this paper cites.
T. Sondergaard, “New Relations for Gauge-Theory Amplitudes with Matter,” Nucl. Phys. B 821
Original
2009
Earlier work this paper cites.
B. Feng, R. Huang and Y. Jia, “Gauge Amplitude Identities by On-shell Recursion Relation in S-matrix Program,” Phys. Lett. B 695
Original
2010
Earlier work this paper cites.
Z. Bern, J. J. M. Carrasco and H. Johansson, “Perturbative Quantum Gravity as a Double Copy of Gauge Theory,” Phys. Rev. Lett. 105
Original
2010
Earlier work this paper cites.
Z. Bern, T. Dennen, Y. t. Huang and M. Kiermaier, “Gravity as the Square of Gauge Theory,” Phys. Rev. D 82
Original
2010
Earlier work this paper cites.
M. Kiermaier, Gravity as the Square of Gauge Theory
2010
Earlier work this paper cites.
R. Monteiro and D. O’Connell, “The Kinematic Algebra From the Self-Dual Sector,” JHEP 1107
Original
2011
Earlier work this paper cites.
Y. J. Du, B. Feng and C. H. Fu, “BCJ Relation of Color Scalar Theory and KLT Relation of Gauge Theory,” JHEP 1108
Original
2011
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, T. Sondergaard and P. Vanhove, JHEP 1101
Original
2011
Earlier work this paper cites.
Z. Bern and T. Dennen, “A Color Dual Form for Gauge-Theory Amplitudes,” Phys. Rev. Lett. 107
Original
2011
Earlier work this paper cites.
Z. Bern, J. J. M. Carrasco, L. J. Dixon, H. Johansson and R. Roiban, “Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes,” Phys. Rev. D 85
Original
2012
Earlier work this paper cites.
J. J. Carrasco and H. Johansson, “Five-Point Amplitudes in N=4 Super-Yang-Mills Theory and N=8 Supergravity,” Phys. Rev. D 85
Original
2012
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, R. Monteiro and D. O’Connell, “Algebras for Amplitudes,” JHEP 1206
Original
2012
Earlier work this paper cites.
T. Bargheer, S. He and T. McLoughlin, “New Relations for Three-Dimensional Supersymmetric Scattering Amplitudes,” Phys. Rev. Lett. 108
Original
2012
Earlier work this paper cites.

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2016

Explicit BCJ numerators of nonlinear sigma model

Du, Yi-Jian, Fu, Chih-Hao

Understand

In this paper, we investigate the color-kinematics duality in nonlinear sigma model (NLSM).

We present explicit polynomial expressions for the kinematic numerators (BCJ numerators).
The calculation is done separately in two parametrization schemes of the theory using Kawai-Lewellen-Tye relation inspired technique, both lead to polynomial numerators.
We summarize the calculation in each case into a set of rules that generates BCJ numerators for all multilplicities.