Unitarization of the one-loop graviton-graviton scattering amplitudes and study of the graviball
From the graviton-graviton scattering amplitudes calculated perturbatively in quantum gravity to the one-loop order, we develop further a formalism that allows one to calculate infrared-finite partial-wave amplitudes fulfilling perturbative unitarity. As a result of this process a parameter dubbed l...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2025-02-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269325000358 |
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| Summary: | From the graviton-graviton scattering amplitudes calculated perturbatively in quantum gravity to the one-loop order, we develop further a formalism that allows one to calculate infrared-finite partial-wave amplitudes fulfilling perturbative unitarity. As a result of this process a parameter dubbed lna emerges that separate between infrared and typical external momenta. The resulting partial-wave amplitudes are next unitarized by employing the Inverse Amplitude Method and the algebraic-N/D method. Then, the graviball resonance, with a similar pole position, is confirmed in the S-wave partial-wave amplitude for all unitarization methods, also with respect to the unitarization of only the leading-order amplitude. Although the spectrum of the theory is independent of the specific value of lna, the requirement for a well-behaved unitarized effective field theory of gravity identifies the optimal range of lna for our next-to-leading-order calculations as 0.5≲lna≲1.7. Briefly, we discuss the D-wave scattering that is weaker than the S-wave scattering, repulsive and non-resonant for lna≈1. |
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| ISSN: | 0370-2693 |