Holomorphic classical limit for spin effects in gravitational and electromagnetic scattering

By A. Guevara. Journal of High Energy Physics, 2017

157 citations recorded by the source corpus.

We provide universal expressions for the classical piece of the amplitude given by the graviton/photon exchange between massive particles of arbitrary spin, at both tree and one loop level. In the gravitational case this leads to higher order terms in the post-Newtonian expansion, which have been previously used in the binary inspiral problem. The expressions are obtained in terms of a contour integral that computes the Leading Singularity, which was recently shown to encode the relevant information up to one loop. The classical limit is performed along a holomorphic trajectory in the space of kinematics, such that the leading order is enough to extract arbitrarily high multipole corrections. These multipole interactions are given in terms of a recently proposed representation for massive particles of any spin by Arkani-Hamed et al. This explicitly shows universality of the multipole interactions in the effective potential with respect to the spin of the scattered particles. We perform the explicit match to standard EFT operators for S = 12\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \frac{1}{2} $$\end{document} and S = 1. As a natural byproduct we obtain the classical pieces up to one loop for the bending of light.

Subfields: Molecular Biology, Nuclear and High Energy Physics, Oceanography

View Paper: https://www.semanticscholar.org/paper/3848577d61140c1a4b771d73120a59c272132cd8

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In Molecular Biology

1. T. Damour
2. J. Vines
3. D. O’Connell
4. Ben Maybee
5. Alexander Ochirov
6. G. Kalin
7. Rafael A. Porto
8. Kays Haddad

In Nuclear and High Energy Physics

1. T. Damour
2. G. Kalin
3. Rafael A. Porto
4. Alexander Ochirov
5. A. Luna
6. R. Roiban
7. D. O’Connell
8. J. Vines

In Oceanography

1. T. Damour
2. J. Vines
3. Rafael A. Porto
4. D. O’Connell
5. Ben Maybee
6. Alexander Ochirov
7. G. Kalin
8. Kays Haddad

Citations in the corpus

• Observables and amplitudes for spinning particles and black holes (2019, methodology): “However, from spin 1 particles we expect to be able to probe O(s2), or quadrupole, terms [4, 5, 9].”
• Classical and quantum scattering in post-Minkowskian gravity (2019, methodology): “the EOB scattering amplitude could be identified, at the then existing O(G) approximation, with the so-called classical part [18, 19] of the quantum gravity amplitude M.”
• Spinning black hole binary dynamics, scattering amplitudes, and effective field theory (2020, methodology): “As we will see in detail in the next section and used in earlier literature [11, 12, 22, 23, 33, 36, 37], the new physical information in this amplitude arises from triangle integrals.”
• Scattering of spinning black holes from exponentiated soft factors (2018, methodology): “This is achieved in the following way: It was shown by one of the authors in [29] that the classical (~-independent) piece of the spin-s amplitude can be extracted from a covariant Holomorphic Classical Limit (HCL), which sets the external kinematics such that the momentum transfer k between the mas”
• From boundary data to bound states (2019, background): “The inclusion of spin, both in the EFT approach [71–78] and in scattering amplitudes [40, 44, 48, 53, 79–82], introduces rich new structures.”
• Kerr black holes as elementary particles (2019, unknown): “Following the work of Guevara [14], it was shown in [15] and [16] that the potential for Kerr black holes was indeed reproduced relativistically to all orders in the multipole expansion from minimal coupling.”
• On-shell heavy particle effective theories (2020, methodology): “This minimal coupling amplitude has proven to be quite useful in the study of classical Kerr black holes, which have been shown to couple minimally to gravity [10, 11, 20, 27, 37, 38].”
• Post-Minkowskian effective field theory for conservative binary dynamics (2020, unknown): “[3, 62–91].”
• Radiative contribution to classical gravitational scattering at the third order in G (2020, methodology): “[11] A.”
• From boundary data to bound states. Part II. Scattering angle to dynamical invariants (with twist) (2019, background): “Therefore, provided the matching discussed in [15–18] carries over to spin, as suggested in [19–26], the existence of this gauge is guarantee to all PM orders.”