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Two-Loop Four-Graviton Scattering Amplitudes.

S Abreu1, F Febres Cordero2, H Ita3

  • 1Center for Cosmology, Particle Physics and Phenomenology (CP3), Université Catholique de Louvain, 1348 Louvain-La-Neuve, Belgium.

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Summary
This summary is machine-generated.

We derived the analytic form for two-loop four-graviton scattering in Einstein gravity. This research simplifies complex calculations and reveals fewer dependencies on fundamental couplings than anticipated.

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Area of Science:

  • Theoretical physics
  • Quantum gravity
  • High-energy physics

Background:

  • Einstein gravity describes gravity using spacetime curvature.
  • Calculating scattering amplitudes is crucial for understanding particle interactions.
  • Higher-loop calculations in quantum gravity are notoriously complex.

Purpose of the Study:

  • To derive the analytic form of two-loop four-graviton scattering amplitudes.
  • To address ultraviolet divergences using specific counterterms.
  • To simplify the analysis of complex momentum-dependent interactions.

Main Methods:

  • Employing counterterms quadratic and cubic in the Riemann curvature tensor.
  • Utilizing the two-loop numerical unitarity approach.
  • Exploiting algebraic properties of the integrand to reduce Feynman integrals.
  • Obtaining analytic expressions via numerical evaluations.

Main Results:

  • The analytic form of the two-loop four-graviton scattering amplitudes in Einstein gravity is presented.
  • Ultraviolet divergences are managed through the inclusion of curvature-dependent counterterms.
  • The study successfully reduces the amplitude integrand to a minimal basis of Feynman integrals.

Conclusions:

  • Analytic expressions for four-graviton scattering are obtained.
  • Four-graviton scattering observables exhibit fewer coupling dependencies than initially presumed.
  • This work provides a significant step towards understanding quantum gravity at higher loop orders.