Built on

Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon and M. Zeng, Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order , 1901.04424
Original
1901
Earlier work this paper cites.
Y. F. Bautista and A. Guevara, From Scattering Amplitudes to Classical Physics: Universality, Double Copy and Soft Theorems , 1903.12419
Original
1903
Earlier work this paper cites.
R. Aoude and C. S. Machado, The Rise of SMEFT On-shell Amplitudes , 1905.11433
Original
1905
Earlier work this paper cites.
A. Cristofoli, N. E. J. Bjerrum-Bohr, P. H. Damgaard and P. Vanhove, On Post-Minkowskian Hamiltonians in General Relativity , 1906.01579
Original
1906
Earlier work this paper cites.
A. Cristofoli, Post-Minkowskian Hamiltonians in Modified Theories of Gravity , 1906.05209
Original
1906
Earlier work this paper cites.
B. Maybee, D. O’Connell and J. Vines, Observables and amplitudes for spinning particles and black holes , 1906.09260
Original
1906
Earlier work this paper cites.
A. Guevara, A. Ochirov and J. Vines, Black-hole scattering with general spin directions from minimal-coupling amplitudes , 1906.10071
Original
1906
Earlier work this paper cites.
N. Arkani-Hamed, Y.-t. Huang and D. O’Connell, Kerr Black Holes as Elementary Particles , 1906.10100
Original
1906
Earlier work this paper cites.
Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon and M. Zeng, Black Hole Binary Dynamics from the Double Copy and Effective Theory , 1908.01493
Original
1908
Earlier work this paper cites.
P. H. Damgaard, K. Haddad and A. Helset, Heavy Black Hole Effective Theory , 1908.10308
Original
1908
Earlier work this paper cites.
M.-Z. Chung, Y.-t. Huang and J.-W. Kim, From quantized spins to rotating black holes , 1908.08463
Original
1908
Earlier work this paper cites.
G. Durieux, T. Kitahara, Y. Shadmi and Y. Weiss, The electroweak effective field theory from on-shell amplitudes , 1909.10551
Original
1909
Earlier work this paper cites.
G. Kälin and R. A. Porto, From Boundary Data to Bound States , 1910.03008
Original
1910
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, A. Cristofoli and P. H. Damgaard, Post-Minkowskian Scattering Angle in Einstein Gravity , 1910.09366
Original
1910
Earlier work this paper cites.
M.-Z. Chung, Y.-T. Huang and J.-W. Kim, Kerr-Newman stress-tensor from minimal coupling to all orders in spin , 1911.12775
Original
1911
Earlier work this paper cites.
M. Levi, S. Mougiakakos and M. Vieira, Gravitational cubic-in-spin interaction at the next-to-leading post-Newtonian order , 1912.06276
Original
1912
Earlier work this paper cites.
R. E. Behrends and C. Fronsdal, Fermi decay of higher spin particles , Phys. Rev. 106
1957
Earlier work this paper cites.
W. Tulczyjew, Motion of multipole particles in general relativity theory , Acta Phys. Pol 18
1959
Earlier work this paper cites.
L. P. S. Singh and C. R. Hagen, Lagrangian formulation for arbitrary spin. 1. The boson case , Phys. Rev. D9
1974
Earlier work this paper cites.
L. P. S. Singh and C. R. Hagen, Lagrangian formulation for arbitrary spin. 2. The fermion case , Phys. Rev. D9
1974
Earlier work this paper cites.

Similar

R. Kleiss and W. Stirling, Spinor techniques for calculating p p → w ± / z 0 + pp\rightarrow w^{\pm}/z^{0}+ jets , Nuclear Physics B 262
1985
Cited alongside, same era.
H. T. Williams, Misconceptions regarding spin 3/2 , Phys. Rev. C 31
1985
Cited alongside, same era.
H. Georgi, An Effective Field Theory for Heavy Quarks at Low-energies , Phys. Lett. B240
1990
Cited alongside, same era.
S. Ferrara, M. Porrati and V. L. Telegdi, g = 2 g=2 as the natural value of the tree-level gyromagnetic ratio of elementary particles , Phys. Rev. D 46
1992
Cited alongside, same era.
M. E. Luke and A. V. Manohar, Reparametrization invariance constraints on heavy particle effective field theories , Phys. Lett. B286
1992
Cited alongside, same era.

Then

R. A. Porto, Post-Newtonian corrections to the motion of spinning bodies in NRGR , Phys. Rev. D73
2006
Later among the works it cites.
B. R. Holstein, How Large is the ’natural’ magnetic moment? , Am. J. Phys. 74
2006
Later among the works it cites.
K. Hinterbichler, Theoretical Aspects of Massive Gravity , Rev. Mod. Phys. 84
Original
2012
Later among the works it cites.
J. Heinonen, R. J. Hill and M. P. Solon, Lorentz invariance in heavy particle effective theories , Phys. Rev. D86
Original
2012
Later among the works it cites.
D. Neill and I. Z. Rothstein, Classical Space-Times from the S Matrix , Nucl. Phys. B877
Original
2013
Later among the works it cites.

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Reading the bibliography…

2020

On-shell heavy particle effective theories

Aoude, Rafael, Haddad, Kays, Helset, Andreas

Understand

We introduce on-shell variables for Heavy Particle Effective Theories (HPETs) with the goal of extending Heavy Black Hole Effective Theory to higher spins and of facilitating its application to higher post-Minkowskian orders.

These variables inherit the separation of spinless and spin-inclusive effects from the HPET fields, resulting in an explicit spin-multipole expansion of the three-point amplitude for any spin.
By matching amplitudes expressed using the on-shell HPET variables to those derived from the one-particle effective action, we find that the spin-multipole expansion of a heavy spin-$s$ particle corresponds exactly to the multipole expansion (up to order $2s$) of a Kerr black hole, that is, without needing to take the infinite spin limit.
Finally, we show that tree-level radiative processes with same-helicity bosons emitted from a heavy spin-$s$ particle exhibit a spin-multipole universality.

Built on

Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon and M. Zeng, Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order , 1901.04424
Original
1901
Earlier work this paper cites.
Y. F. Bautista and A. Guevara, From Scattering Amplitudes to Classical Physics: Universality, Double Copy and Soft Theorems , 1903.12419
Original
1903
Earlier work this paper cites.
R. Aoude and C. S. Machado, The Rise of SMEFT On-shell Amplitudes , 1905.11433
Original
1905
Earlier work this paper cites.
A. Cristofoli, N. E. J. Bjerrum-Bohr, P. H. Damgaard and P. Vanhove, On Post-Minkowskian Hamiltonians in General Relativity , 1906.01579
Original
1906
Earlier work this paper cites.
A. Cristofoli, Post-Minkowskian Hamiltonians in Modified Theories of Gravity , 1906.05209
Original
1906
Earlier work this paper cites.
B. Maybee, D. O’Connell and J. Vines, Observables and amplitudes for spinning particles and black holes , 1906.09260
Original
1906
Earlier work this paper cites.
A. Guevara, A. Ochirov and J. Vines, Black-hole scattering with general spin directions from minimal-coupling amplitudes , 1906.10071
Original
1906
Earlier work this paper cites.
N. Arkani-Hamed, Y.-t. Huang and D. O’Connell, Kerr Black Holes as Elementary Particles , 1906.10100
Original
1906
Earlier work this paper cites.
Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon and M. Zeng, Black Hole Binary Dynamics from the Double Copy and Effective Theory , 1908.01493
Original
1908
Earlier work this paper cites.
P. H. Damgaard, K. Haddad and A. Helset, Heavy Black Hole Effective Theory , 1908.10308
Original
1908
Earlier work this paper cites.
M.-Z. Chung, Y.-t. Huang and J.-W. Kim, From quantized spins to rotating black holes , 1908.08463
Original
1908
Earlier work this paper cites.
G. Durieux, T. Kitahara, Y. Shadmi and Y. Weiss, The electroweak effective field theory from on-shell amplitudes , 1909.10551
Original
1909
Earlier work this paper cites.
G. Kälin and R. A. Porto, From Boundary Data to Bound States , 1910.03008
Original
1910
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, A. Cristofoli and P. H. Damgaard, Post-Minkowskian Scattering Angle in Einstein Gravity , 1910.09366
Original
1910
Earlier work this paper cites.
M.-Z. Chung, Y.-T. Huang and J.-W. Kim, Kerr-Newman stress-tensor from minimal coupling to all orders in spin , 1911.12775
Original
1911
Earlier work this paper cites.
M. Levi, S. Mougiakakos and M. Vieira, Gravitational cubic-in-spin interaction at the next-to-leading post-Newtonian order , 1912.06276
Original
1912
Earlier work this paper cites.
R. E. Behrends and C. Fronsdal, Fermi decay of higher spin particles , Phys. Rev. 106
1957
Earlier work this paper cites.
W. Tulczyjew, Motion of multipole particles in general relativity theory , Acta Phys. Pol 18
1959
Earlier work this paper cites.
L. P. S. Singh and C. R. Hagen, Lagrangian formulation for arbitrary spin. 1. The boson case , Phys. Rev. D9
1974
Earlier work this paper cites.
L. P. S. Singh and C. R. Hagen, Lagrangian formulation for arbitrary spin. 2. The fermion case , Phys. Rev. D9
1974
Earlier work this paper cites.

Similar

R. Kleiss and W. Stirling, Spinor techniques for calculating p p → w ± / z 0 + pp\rightarrow w^{\pm}/z^{0}+ jets , Nuclear Physics B 262
1985
Cited alongside, same era.
H. T. Williams, Misconceptions regarding spin 3/2 , Phys. Rev. C 31
1985
Cited alongside, same era.
H. Georgi, An Effective Field Theory for Heavy Quarks at Low-energies , Phys. Lett. B240
1990
Cited alongside, same era.
S. Ferrara, M. Porrati and V. L. Telegdi, g = 2 g=2 as the natural value of the tree-level gyromagnetic ratio of elementary particles , Phys. Rev. D 46
1992
Cited alongside, same era.
M. E. Luke and A. V. Manohar, Reparametrization invariance constraints on heavy particle effective field theories , Phys. Lett. B286
1992
Cited alongside, same era.

Then

R. A. Porto, Post-Newtonian corrections to the motion of spinning bodies in NRGR , Phys. Rev. D73
2006
Later among the works it cites.
B. R. Holstein, How Large is the ’natural’ magnetic moment? , Am. J. Phys. 74
2006
Later among the works it cites.
K. Hinterbichler, Theoretical Aspects of Massive Gravity , Rev. Mod. Phys. 84
Original
2012
Later among the works it cites.
J. Heinonen, R. J. Hill and M. P. Solon, Lorentz invariance in heavy particle effective theories , Phys. Rev. D86
Original
2012
Later among the works it cites.
D. Neill and I. Z. Rothstein, Classical Space-Times from the S Matrix , Nucl. Phys. B877
Original
2013
Later among the works it cites.

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Y.-Q. Chen, On the reparameterization invariance in heavy quark effective theory , Physics Letters B 317

1993

Cited alongside, same era.

J. F. Donoghue, Leading quantum correction to the Newtonian potential , Phys. Rev. Lett. 72

1994

Cited alongside, same era.

J. F. Donoghue, General relativity as an effective field theory: The leading quantum corrections , Phys. Rev. D50

1994

Cited alongside, same era.

G. T. Bodwin, E. Braaten and G. P. Lepage, Rigorous QCD analysis of inclusive annihilation and production of heavy quarkonium , Phys. Rev. D51

1995

Cited alongside, same era.

S. Y. Choi, J. S. Shim and H. S. Song, Factorization and polarization in linearized gravity , Phys. Rev. D51

1995

Cited alongside, same era.

M. Neubert, Heavy quark effective theory , Subnucl. Ser. 34

1997

Cited alongside, same era.

M. Finkemeier, H. Georgi and M. McIrvin, Reparametrization invariance revisited , Phys. Rev. D55

1997

Cited alongside, same era.

N. E. J. Bjerrum-Bohr, J. F. Donoghue and P. Vanhove, On-shell Techniques and Universal Results in Quantum Gravity , JHEP 02

Original

2014