Celestial open strings at one-loop

Laura Donnay, Gaston Giribet, Hernán González, Andrea Puhm, Francisco Rojas

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


We study celestial amplitudes in string theory at one-loop. Celestial amplitudes describe scattering processes of boost eigenstates and relate to amplitudes in the more standard basis of momentum eigenstates through a Mellin transform. They are thus sensitive to both the ultraviolet and the infrared, which raises the question of how to appropriately take the field theory limit of string amplitudes in the celestial basis. We address this problem in the context of four-dimensional genus-one scattering processes of gluons in open string theory which reach the two-dimensional celestial sphere at null infinity. We show that the Mellin transform commutes with the adequate limit in the worldsheet moduli space and reproduces the celestial one-loop field theory amplitude expressed in the worldline formalism. The dependence on α continues to be a simple overall factor in one-loop celestial amplitudes albeit with a power that is shifted with respect to tree-level, thus making manifest that the dimensionless parameter g102/α′3 organizes the loop expansion in the celestial basis. The precise way in which the amplitudes scale with this parameter depends on the number of non-compact dimensions in such a way that in 4 dimensions the scaling with α does agree with that at tree-level.

Original languageEnglish
Article number47
JournalJournal of High Energy Physics
Issue number10
StatePublished - Oct 2023
Externally publishedYes


  • Conformal and W Symmetry
  • Scattering Amplitudes
  • Superstrings and Heterotic Strings


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