articlePhysical Review LettersJan 27, 2026HYBRID OA

Second-Order Self-Force Potential-Region Binary Dynamics at O ( G 5 ) in Supergravity

ZBZvi BernEHEnrico HerrmannRRRadu RoibanMRMichael RufAVAlexander V. Smirnov

University of California, Los Angeles · Pennsylvania State University · +7 more institutions

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Abstract

We compute the potential-graviton contributions to the conservative scattering angle of two nonspinning bodies in maximal supergravity at fifth order in Newton's constant, including second-order self-force effects. Our goal is to tackle the challenging integrals arising at this order in Einstein gravity, but within the technically simpler framework of supergravity. The calculation employs the scattering-amplitude framework, effective field theory, and multiloop integration techniques based on integration by parts and differential equations. The final result is expressed as a series expansion around the static limit, thereby avoiding the explicit evaluation of intricate special functions. This series solution…

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Topics & keywords

Keywords
  • Supergravity
  • Series (stratigraphy)
  • Differential (mechanical device)
  • Computation
  • Numerical integration
  • Order (exchange)
  • Field (mathematics)
  • Series expansion
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