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arXiv · 2009.07817

Scalar resonance in graviton-graviton scattering at high-energies: the graviball

D. Blas·J. Martin Camalich·J. A. Oller
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Abstract

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 (J^{PC}=0^{++}) is obtained as a pole in the nonperturbative S-wave amplitude, which we call the {\it 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 σresonance in QCD.

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D. Blas, J. Martin Camalich, J. A. Oller. 2022-03-08. Scalar resonance in graviton-graviton scattering at high-energies: the graviball. https://doi.org/10.1016/j.physletb.2022.136991

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