Built on

Z. Bern, C. Boucher-Veronneau and H. Johansson, Phys. Rev. D 84
Original
1935
Earlier work this paper cites.
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.
F. A. Berends and W. T. Giele, “Recursive Calculations for Processes with n Gluons,” Nucl. Phys. B 306
1988
Earlier work this paper cites.
R. Kleiss and H. Kuijf, “MULTI - GLUON CROSS-SECTIONS AND FIVE JET PRODUCTION AT HADRON COLLIDERS,” Nucl. Phys. B 312
1989
Earlier work this paper cites.
F. A. Berends and W. T. Giele, “Multiple Soft Gluon Radiation in Parton Processes,” Nucl. Phys. B 313
Original
1989
Earlier work this paper cites.
L. J. Dixon, “Calculating scattering amplitudes efficiently,” In *Boulder 1995, QCD and beyond* 539-582 [hep-ph/9601359]
1995
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar, M. Perelstein and J. S. Rozowsky, “On the relationship between Yang-Mills theory and gravity and its implication for ultraviolet divergences,” Nucl. Phys. B 530
1998
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, A. De Freitas and H. L. Wong, “On the coupling of gravitons to matter,” Phys. Rev. Lett. 84
2000
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.

Similar

Z. Bern, J. J. M. Carrasco, L. J. Dixon, H. Johansson and R. Roiban, Phys. Rev. D 78
Original
2008
Cited alongside, same era.
N. E. J. Bjerrum-Bohr, P. H. Damgaard and P. Vanhove, “Minimal Basis for Gauge Theory Amplitudes,” Phys. Rev. Lett. 103
Original
2009
Cited alongside, same era.
Z. Bern, J. J. Carrasco, L. J. Dixon, H. Johansson and R. Roiban, Phys. Rev. Lett. 103
Original
2009
Cited alongside, same era.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, T. Sondergaard and P. Vanhove, “Monodromy and Jacobi-like Relations for Color-Ordered Amplitudes,” JHEP 1006
Original
2010
Cited alongside, same era.
Y. Jia, R. Huang and C. -Y. Liu, “ U ⁡ ( 1 ) U(1) -decoupling, KK and BCJ relations in 𝒩 = 4 \mathcal{N}=4 SYM,” Phys. Rev. D 82

Then

Y. -X. Chen, Y. -J. Du and B. Feng, “A Proof of the Explicit Minimal-basis Expansion of Tree Amplitudes in Gauge Field Theory,” JHEP 1102
Original
2011
Later among the works it cites.
C. Boucher-Veronneau and L. J. Dixon, JHEP 1112
Original
2011
Later among the works it cites.
R. Monteiro and D. O’Connell, “The Kinematic Algebra From the Self-Dual Sector,” JHEP 1107
Original
2011
Later among the works it 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
Later among the works it cites.
Z. Bern and T. Dennen, “A Color Dual Form for Gauge-Theory Amplitudes,” Phys. Rev. Lett. 107
Original

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2012

An algebraic approach to BCJ numerators

Fu, Chih-Hao, Du, Yi-Jian, Feng, Bo

Understand

One important discovery in recent years is that the total amplitude of gauge theory can be written as BCJ form where kinematic numerators satisfy Jacobi identity.

Although the existence of such kinematic numerators is no doubt, the simple and explicit construction is still an important problem.
As a small step, in this note we provide an algebraic approach to construct these kinematic numerators.
Under our Feynman-diagram-like construction, the Jacobi identity is manifestly satisfied.

Built on

Z. Bern, C. Boucher-Veronneau and H. Johansson, Phys. Rev. D 84
Original
1935
Earlier work this paper cites.
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.
F. A. Berends and W. T. Giele, “Recursive Calculations for Processes with n Gluons,” Nucl. Phys. B 306
1988
Earlier work this paper cites.
R. Kleiss and H. Kuijf, “MULTI - GLUON CROSS-SECTIONS AND FIVE JET PRODUCTION AT HADRON COLLIDERS,” Nucl. Phys. B 312
1989
Earlier work this paper cites.
F. A. Berends and W. T. Giele, “Multiple Soft Gluon Radiation in Parton Processes,” Nucl. Phys. B 313
Original
1989
Earlier work this paper cites.
L. J. Dixon, “Calculating scattering amplitudes efficiently,” In *Boulder 1995, QCD and beyond* 539-582 [hep-ph/9601359]
1995
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar, M. Perelstein and J. S. Rozowsky, “On the relationship between Yang-Mills theory and gravity and its implication for ultraviolet divergences,” Nucl. Phys. B 530
1998
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, A. De Freitas and H. L. Wong, “On the coupling of gravitons to matter,” Phys. Rev. Lett. 84
2000
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.