Celestial open strings at one-loop
Donnay
L
author
Giribet
G
author
González
H
author
Puhm
A
author
Rojas
F
author
2023
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 alpha ' 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/alpha ' 3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {g}_{10}<^>2/{\alpha}<^>{\prime 3} $$\end{document} 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 alpha ' does agree with that at tree-level.
Scattering AmplitudesSuperstrings and Heterotic StringsConformal and W Symmetry
WOS:001079303500002
exported from refbase (show.php?record=1895), last updated on Thu, 09 Nov 2023 09:51:05 -0300
text
10.1007/JHEP10(2023)047
Donnay_etal2023
Journal Of High Energy Physics
J. High Energy Phys.
2023
continuing
periodical
academic journal
10
47
1029-8479