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2019

Shift symmetries, soft limits, and the double copy beyond leading order

Carrillo-Gonzalez, Mariana, Penco, Riccardo, Trodden, Mark

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In this paper, we compute the higher derivative amplitudes arising from shift symmetric-invariant actions for both the non-linear sigma model and the special galileon symmetries, and provide explicit expressions for their Lagrangians.

We find that, beyond leading order, the equivalence between shift symmetries, enhanced single soft limits, and compatibility with the double copy procedure breaks down.
In particular, we have shown that the most general even-point amplitudes of a colored-scalar satisfying the Kleiss-Kuijf (KK) and Bern-Carrasco-Johansson (BCJ) relations are compatible with the non-linear sigma model symmetries.
Similarly, their double copy is compatible with the special galileon symmetries.

Shift symmetries, soft limits, and the double copy beyond leading order · Around

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Wei-Ming Chen, Yu-Tin Huang, Toshifumi Noumi, and Congkao Wen, “Unitarity bounds on charged/neutral state mass ratios,” Phys. Rev. D 100
Original
1901
Earlier work this paper cites.
Diederik Roest, David Stefanyszyn, and Pelle Werkman, “An Algebraic Classification of Exceptional EFTs,” (2019), arXiv:1903.08222 [hep-th]
Original
1903
Earlier work this paper cites.
Wonyong Cho and Kanghoon Lee, “Heterotic Kerr-Schild Double Field Theory and Classical Double Copy,” (2019), arXiv:1904.11650 [hep-th]
Original
1904
Earlier work this paper cites.
Mariana Carrillo González, Brandon Melcher, Kenneth Ratliff, Scott Watson, and Chris D. White, “The classical double copy in three spacetime dimensions,” JHEP 07
Original
1904
Earlier work this paper cites.
Ian Low and Zhewei Yin, “Soft Bootstrap and Effective Field Theories,” (2019), arXiv:1904.12859 [hep-th]
Original
1904
Earlier work this paper cites.
Sebastian Garcia-Saenz, Jonghee Kang, and Riccardo Penco, “Gauged Galileons,” JHEP 07
Original
1905
Earlier work this paper cites.
Ben Maybee, Donal O’Connell, and Justin Vines, “Observables and amplitudes for spinning particles and black holes,” (2019), arXiv:1906.09260 [hep-th]
Original
1906
Earlier work this paper cites.
Michael B. Green and Congkao Wen, “Superstring amplitudes, unitarily, and Hankel determinants of multiple zeta values,” JHEP 11
Original
1908
Earlier work this paper cites.
Filip Přeučil and Jiří Novotný, “Special Galileon at one loop,” (2019), arXiv:1909.06214 [hep-th]
Original
1909
Earlier work this paper cites.
Yoichiro Nambu, “Quasiparticles and Gauge Invariance in the Theory of Superconductivity,” Phys. Rev. 117
1960
Earlier work this paper cites.
J. Goldstone, “Field Theories with Superconductor Solutions,” Nuovo Cim. 19
1961
Earlier work this paper cites.
Jr. Callan, C. G., S. R. Coleman, J. Wess, and B. Zumino, “Structure of phenomenological Lagrangians. 2.” Phys.Rev. 177
1969
Earlier work this paper cites.
Leonard Susskind and G. Frye, “Algebraic aspects of pionic duality diagrams,” Phys. Rev. D1
1970
Earlier work this paper cites.
John R. Ellis, “The adler zero condition and current algebra,” Nucl. Phys. B21
1970
Earlier work this paper cites.
J. Wess and B. Zumino, “Consequences of anomalous Ward identities,” Phys. Lett. 37B
1971
Earlier work this paper cites.
D. V. Volkov, V. D. Gershun, A. A. Zheltukhin, and A. I. Pashnev, “Adler principle and algebraic duality,” Teor. Mat. Fiz. 15
1973
Earlier work this paper cites.
Dmitri V. Volkov, “Phenomenological Lagrangians,” Fiz. Elem. Chast. Atom. Yadra 4
1973
Earlier work this paper cites.
V. I. Ogievetsky, “Nonlinear realizations of internal and space-time symmetries,” in X-th winter school of theoretical physics in Karpacz, Poland (1974)
1974
Earlier work this paper cites.
E. A. Ivanov and V. I. Ogievetsky, “The Inverse Higgs Phenomenon in Nonlinear Realizations,” Teor. Mat. Fiz. 25
1975
Earlier work this paper cites.
Edward Witten, “Global Aspects of Current Algebra,” Nucl. Phys. B223
1983
Earlier work this paper cites.
J. Gasser and H. Leutwyler, “Chiral Perturbation Theory: Expansions in the Mass of the Strange Quark,” Nucl. Phys. B250
1985
Earlier work this paper cites.
Ronald Kleiss and Hans Kuijf, “Multi - Gluon Cross-sections and Five Jet Production at Hadron Colliders,” Nucl. Phys. B312
1989
Earlier work this paper cites.
J.F. Donoghue, E. Golowich, and Barry R. Holstein, Dynamics of the standard model (Cambridge University Press, 1992) p. 540
1992
Earlier work this paper cites.
Eric D’Hoker and Steven Weinberg, “General effective actions,” Phys.Rev. D50
1994
Earlier work this paper cites.
H. W. Fearing and S. Scherer, “Extension of the chiral perturbation theory meson Lagrangian to order p(6),” Phys. Rev. D53
1996
Earlier work this paper cites.
Johan Bijnens, Gilberto Colangelo, and Gerhard Ecker, “The Mesonic chiral Lagrangian of order p**6,” JHEP 02
1999
Earlier work this paper cites.
Roland Kaiser and H. Leutwyler, “Large N(c) in chiral perturbation theory,” Eur. Phys. J. C17
2000
Earlier work this paper cites.
Ian Low and Aneesh V. Manohar, “Spontaneously broken space-time symmetries and Goldstone’s theorem,” Phys. Rev. Lett. 88
2002
Earlier work this paper cites.
T. Ebertshauser, H. W. Fearing, and S. Scherer, “The Anomalous chiral perturbation theory meson Lagrangian to order p**6 revisited,” Phys. Rev. D65
2002
Earlier work this paper cites.
J. Bijnens, L. Girlanda, and P. Talavera, “The Anomalous chiral Lagrangian of order p**6,” Eur. Phys. J. C23
2002
Earlier work this paper cites.
Ruth Britto, Freddy Cachazo, Bo Feng, and Edward Witten, “Direct proof of tree-level recursion relation in Yang-Mills theory,” Phys. Rev. Lett. 94
2005
Earlier work this paper cites.

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