Built on

Z. Bern, C. Boucher-Veronneau and H. Johansson, “N ≥ \geq 4 Supergravity Amplitudes from Gauge Theory at One Loop,” 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.
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.
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.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, B. Feng and T. Sondergaard, “Gravity and Yang-Mills Amplitude Relations,” Phys. Rev. D 82
Original
2010
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, H. Johansson and T. Sondergaard, “Monodromy–like Relations for Finite Loop Amplitudes,” JHEP 1105
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.

Similar

Z. Bern and T. Dennen, “A Color Dual Form for Gauge-Theory Amplitudes,” Phys. Rev. Lett. 107
Original
2011
Cited alongside, same era.
C. R. Mafra, O. Schlotterer and S. Stieberger, “Explicit BCJ Numerators from Pure Spinors,” JHEP 1107
Original
2011
Cited alongside, same era.
R. Monteiro and D. O’Connell, “The Kinematic Algebra From the Self-Dual Sector,” JHEP 1107
Original
2011
Cited alongside, same era.
J. Broedel and J. J. M. Carrasco, “Virtuous Trees at Five and Six Points for Yang-Mills and Gravity,” Phys. Rev. D 84
Original
2011
Cited alongside, same era.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, T. Sondergaard and P. Vanhove, “The Momentum Kernel of Gauge and Gravity Theories,” JHEP 1101

Then

J. J. M. Carrasco, M. Chiodaroli, M. G¨¹naydin and R. Roiban, “One-loop four-point amplitudes in pure and matter-coupled N ≤ \leq 4 supergravity,” JHEP 1303
Original
2013
Later among the works it cites.
R. H. Boels, R. S. Isermann, R. Monteiro and D. O’Connell, “Colour-Kinematics Duality for One-Loop Rational Amplitudes,” JHEP 1304
Original
2013
Later among the works it cites.
N. E. J. Bjerrum-Bohr, T. Dennen, R. Monteiro and D. O’Connell, “Integrand Oxidation and One-Loop Colour-Dual Numerators in N=4 Gauge Theory,” JHEP 1307
Original
2013
Later among the works it cites.
Y. -J. Du and H. Luo, “On General BCJ Relation at One-loop Level in Yang-Mills Theory,” JHEP 1301
Original
2013
Later among the works it cites.
S. Oxburgh and C. D. White, “BCJ duality and the double copy in the soft limit,” JHEP 1302

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2014

Note on symmetric BCJ numerator

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

Understand

We present an algorithm that leads to BCJ numerators satisfying manifestly the three properties proposed by Broedel and Carrasco in [35].

We explicitly calculate the numerators at 4, 5 and 6-points and show that the relabeling property is generically satisfied.

Built on

Z. Bern, C. Boucher-Veronneau and H. Johansson, “N ≥ \geq 4 Supergravity Amplitudes from Gauge Theory at One Loop,” 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.
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.
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.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, B. Feng and T. Sondergaard, “Gravity and Yang-Mills Amplitude Relations,” Phys. Rev. D 82
Original
2010
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, H. Johansson and T. Sondergaard, “Monodromy–like Relations for Finite Loop Amplitudes,” JHEP 1105
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.

Similar

Z. Bern and T. Dennen, “A Color Dual Form for Gauge-Theory Amplitudes,” Phys. Rev. Lett. 107
Original
2011
Cited alongside, same era.
C. R. Mafra, O. Schlotterer and S. Stieberger, “Explicit BCJ Numerators from Pure Spinors,” JHEP 1107
Original
2011
Cited alongside, same era.
R. Monteiro and D. O’Connell, “The Kinematic Algebra From the Self-Dual Sector,” JHEP 1107
Original
2011
Cited alongside, same era.
J. Broedel and J. J. M. Carrasco, “Virtuous Trees at Five and Six Points for Yang-Mills and Gravity,” Phys. Rev. D 84
Original
2011
Cited alongside, same era.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, T. Sondergaard and P. Vanhove, “The Momentum Kernel of Gauge and Gravity Theories,” JHEP 1101

Then

J. J. M. Carrasco, M. Chiodaroli, M. G¨¹naydin and R. Roiban, “One-loop four-point amplitudes in pure and matter-coupled N ≤ \leq 4 supergravity,” JHEP 1303
Original
2013
Later among the works it cites.
R. H. Boels, R. S. Isermann, R. Monteiro and D. O’Connell, “Colour-Kinematics Duality for One-Loop Rational Amplitudes,” JHEP 1304
Original
2013
Later among the works it cites.
N. E. J. Bjerrum-Bohr, T. Dennen, R. Monteiro and D. O’Connell, “Integrand Oxidation and One-Loop Colour-Dual Numerators in N=4 Gauge Theory,” JHEP 1307
Original
2013
Later among the works it cites.
Y. -J. Du and H. Luo, “On General BCJ Relation at One-loop Level in Yang-Mills Theory,” JHEP 1301
Original
2013
Later among the works it cites.
S. Oxburgh and C. D. White, “BCJ duality and the double copy in the soft limit,” JHEP 1302

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Original

2011

Cited alongside, same era.

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

Cited alongside, same era.

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

Cited alongside, same era.

R. H. Boels and R. S. Isermann, “New relations for scattering amplitudes in Yang-Mills theory at loop level,” Phys. Rev. D 85

Original

2012

Cited alongside, same era.

R. H. Boels and R. S. Isermann, “Yang-Mills amplitude relations at loop level from non-adjacent BCFW shifts,” JHEP 1203

Original

2012

Cited alongside, same era.

N. E. J. Bjerrum-Bohr, P. H. Damgaard, R. Monteiro and D. O’Connell, “Algebras for Amplitudes,” JHEP 1206

Original

2012

Cited alongside, same era.

R. H. Boels, B. A. Kniehl, O. V. Tarasov and G. Yang, “Color-kinematic Duality for Form Factors,” JHEP 1302

Original

2013

Cited alongside, same era.

Z. Bern, S. Davies, T. Dennen, Y. -t. Huang and J. Nohle, “Color-Kinematics Duality for Pure Yang-Mills and Gravity at One and Two Loops,” arXiv:1303.6605 [hep-th]

Original

Cited in the paper.

Original

2013