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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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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| author | J.A. Oller Marcela Peláez |
| author_facet | J.A. Oller Marcela Peláez |
| author_sort | J.A. Oller |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-95c71f9ce5de4fd299f36e44f92916c0 |
| institution | Kabale University |
| issn | 0370-2693 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj-art-95c71f9ce5de4fd299f36e44f92916c02025-02-10T04:33:58ZengElsevierPhysics Letters B0370-26932025-02-01861139275Unitarization of the one-loop graviton-graviton scattering amplitudes and study of the graviballJ.A. Oller0Marcela Peláez1Departamento de Física, Universidad de Murcia, E-30071 Murcia, Spain; Corresponding author.Instituto de Física, Facultad de Ingeniería, Universidad de la República, J. H. y Reissig 565, 11000 Montevideo, UruguayFrom 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.http://www.sciencedirect.com/science/article/pii/S0370269325000358 |
| spellingShingle | J.A. Oller Marcela Peláez Unitarization of the one-loop graviton-graviton scattering amplitudes and study of the graviball Physics Letters B |
| title | Unitarization of the one-loop graviton-graviton scattering amplitudes and study of the graviball |
| title_full | Unitarization of the one-loop graviton-graviton scattering amplitudes and study of the graviball |
| title_fullStr | Unitarization of the one-loop graviton-graviton scattering amplitudes and study of the graviball |
| title_full_unstemmed | Unitarization of the one-loop graviton-graviton scattering amplitudes and study of the graviball |
| title_short | Unitarization of the one-loop graviton-graviton scattering amplitudes and study of the graviball |
| title_sort | unitarization of the one loop graviton graviton scattering amplitudes and study of the graviball |
| url | http://www.sciencedirect.com/science/article/pii/S0370269325000358 |
| work_keys_str_mv | AT jaoller unitarizationoftheoneloopgravitongravitonscatteringamplitudesandstudyofthegraviball AT marcelapelaez unitarizationoftheoneloopgravitongravitonscatteringamplitudesandstudyofthegraviball |