Seeking for resonances in unitarized one-loop graviton-graviton scattering

Delgado, Rafael L.; Dobado, Antonio; Espriu, D.

doi:10.1103/physrevd.107.044073

Phys. Rev. D

2023

DOI: 10.1103/physrevd.107.044073

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Seeking for resonances in unitarized one-loop graviton-graviton scattering

Rafael L. Delgado

Antonio Dobado

D. Espriu

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2024

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Unitarization of electron scattering with an external potential at NLO in QED

Oller,

Peláez

2024

J. High Energ. Phys.

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We have calculated the one-loop scattering amplitude of an electron by an external Coulomb potential in QED free of infrared divergences. This feature is achieved by applying the Faddeev-Kulish formalism, which implies a redefinition of both the asymptotic electronic states and of the S matrix. Additionally, we have also derived the infrared-finite one-loop partial-wave amplitudes for this process by applying a recent method in the literature. Next, these partial-wave amplitudes are unitarized based on analyticity and unitarity by employing three different methods of unitarization: the algebraic N/D method, the Inverse Amplitude Method and the first-iterated N/D method. Then, we have studied several partial waves both for physical momentum and for complex ones to look for bound-state poles. The binding momentum for the fundamental bound state in S wave is discussed with special detail. This is a wide-ranging method for calculating nonperturbative partial-wave amplitudes for infinite-range interactions that could be applied to many other systems.

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Unitarization of electron scattering with an external potential at NLO in QED

Oller,

Peláez

2024

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

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Seeking for resonances in unitarized one-loop graviton-graviton scattering

Cited by 1 publication

References 30 publications

Unitarization of electron scattering with an external potential at NLO in QED

Unitarization of electron scattering with an external potential at NLO in QED

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