Analyticity, Unitarity and One-loop Graviton Corrections to Compton Scattering

Abstract

We compute spin-flip cross section for graviton photoproduction on a spin-1/2 target of finite mass. Using this tree-level result, we find one-loop graviton correction to the spin-flip low-energy forward Compton scattering amplitude by using Gerasimov-Drell-Hearn sum rule. We show that this result agrees with the corresponding perturbative computations, implying the validity of the sum rule at one-loop level, contrary to the previous claims. We discuss possible effects from the black hole production and string Regge trajectory exchange at very high energies. These effects seem to soften the UV divergence present at one-loop graviton level. Finally, we discuss the relation of these observations with the models that involve extra dimensions.

arXiv comment15 pages, 3 figures

References in corpus (7)

• The Hierarchy Problem and New Dimensions at a Millimeter
• Causality, Analyticity and an IR Obstruction to UV Completion
• Graviton Physics
• The Drell-Hearn Sum Rule at Order Alpha**3
• Gravitons and the Drell-Hearn-Gerasimov Sum Rule
• New Sum Rules from Low Energy Compton Scattering on Arbitrary Spin Target
• On the Compton Scattering in String Theory

Cited by in corpus (2)

• The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS correlators
• Analytic structure of ${\varphi }^4$ theory using light-by-light sum rules