We study graviton-graviton scattering in partial-wave amplitudes after unitarizing their Born terms. In order to apply S-matrix techniques, based on unitarity and analyticity, we introduce an S-matrix associated to this resummation that is free of infrared divergences. This is achieved by removing the diverging phase factor calculated by Weinberg that multiplies the S matrix, and that stems from the virtual infrared gravitons. A scalar graviton-graviton resonance with vacuum quantum numbers (JPC=0++) is obtained as a pole in the nonperturbative S-wave amplitude, which we call the graviball. Its resonant effects along the physical real-s axis may peak at values substantially lower than the UV cutoff squared of the theory. For some scenarios, this phenomenon could have phenomenological consequences at relatively low-energy scales, similarly to the σ resonance in QCD.
CITATION STYLE
Blas, D., Martin Camalich, J., & Oller, J. A. (2022). Scalar resonance in graviton-graviton scattering at high-energies: The graviball. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 827. https://doi.org/10.1016/j.physletb.2022.136991
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