Records 
Author 
Donnay, L.; Giribet, G.; González, H.; Puhm, A.; Rojas, F. 
Title 
Celestial open strings at oneloop 
Type 

Year 
2023 
Publication 
Journal Of High Energy Physics 
Abbreviated Journal 
J. High Energy Phys. 
Volume 

Issue 
10 
Pages 
47 
Keywords 
Scattering AmplitudesSuperstrings and Heterotic StringsConformal and W Symmetry 
Abstract 
We study celestial amplitudes in string theory at oneloop. 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 fourdimensional genusone scattering processes of gluons in open string theory which reach the twodimensional 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 oneloop field theory amplitude expressed in the worldline formalism. The dependence on alpha ' continues to be a simple overall factor in oneloop celestial amplitudes albeit with a power that is shifted with respect to treelevel, 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 noncompact dimensions in such a way that in 4 dimensions the scaling with alpha ' does agree with that at treelevel. 
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ISSN 
10298479 
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Notes 
WOS:001079303500002 
Approved 

Call Number 
UAI @ alexi.delcanto @ 
Serial 
1895 
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Author 
Gonzalez, H.,A.; Rojas, F. 
Title 
The structure of IR divergences in celestial gluon amplitudes 
Type 

Year 
2021 
Publication 
Journal Of High Energy Physics 
Abbreviated Journal 
J. High Energy Phys. 
Volume 

Issue 
6 
Pages 
171 
Keywords 
Conformal Field Theory; Scattering Amplitudes; Field Theories in Lower Dimensions 
Abstract 
The allloop resummation of SU(N) gauge theory amplitudes is known to factorize into an IRdivergent (soft and collinear) factor and a finite (hard) piece. The divergent factor is universal, whereas the hard function is a processdependent quantity.We prove that this factorization persists for the corresponding celestial amplitudes. Moreover, the soft/collinear factor becomes a scalar correlator of the product of renormalized Wilson lines defined in terms of celestial data. Their effect on the hard amplitude is a shift in the scaling dimensions by an infinite amount, proportional to the cusp anomalous dimension. This leads us to conclude that the celestialIRsafe gluon amplitude corresponds to a expectation value of operators dressed with Wilson line primaries. These results hold for finite N.In the large N limit, we show that the soft/collinear correlator can be described in terms of vertex operators in a Coulomb gas of colored scalar primaries with nearest neighbor interactions. In the particular cases of four and five gluons in planar N = 4 SYM theory, where the hard factor is known to exponentiate, we establish that the Mellin transform converges in the UV thanks to the fact that the cusp anomalous dimension is a positive quantity. In other words, the very existence of the full celestial amplitude is owed to the positivity of the cusp anomalous dimension. 
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ISSN 
10298479 
ISBN 

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Expedition 

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Notes 
WOS:000671162900001 
Approved 

Call Number 
UAI @ alexi.delcanto @ 
Serial 
1436 
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Author 
Gonzalez, HA.; Puhm, A,; Rojas, F. 
Title 
Loop corrections to celestial amplitudes 
Type 

Year 
2020 
Publication 
Physical Review D 
Abbreviated Journal 
Phys. Rev. D. 
Volume 
102 
Issue 

Pages 
126027 
Keywords 
Conformal field theory; LargeN expansion in field theory; NonAbelian gauge theories; Perturbation theory; Scattering amplitudes; Supersymmetric models 
Abstract 
We study the effect of loop corrections to conformal correlators on the celestial sphere at null infinity. We first analyze finite oneloop celestial amplitudes in pure YangMills theory and Einstein gravity. We then turn to our main focus: infrared divergent loop amplitudes in planar N=4
super–YangMills theory. We compute the celestial oneloop amplitude in dimensional regularization and show that it can be recast as an operator acting on the celestial treelevel amplitude. This extends to any loop order, and the resummation of all planar loops enables us to write down an expression for the allloop celestial amplitude. Finally, we show that the exponentiated allloop expression given by the BernDixonSmirnov (BDS) formula gets promoted on the celestial sphere to an operator acting on the treelevel conformal correlation function, thus yielding, the celestial BDS formula. 
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Edition 

ISSN 
24700010 
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Notes 

Approved 

Call Number 
UAI @ alexi.delcanto @ 
Serial 
1282 
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Author 
Nastase, H.; Rojas, F.; Rubio, C. 
Title 
Celestial IR divergences in general mostsubleadingcolor gluon and gravity amplitudes 
Type 

Year 
2022 
Publication 
Journal Of High Energy Physics 
Abbreviated Journal 
J. High Energy Phys. 
Volume 

Issue 
1 
Pages 
136 
Keywords 
Scattering Amplitudes; Conformal Field Theory 
Abstract 
Gluon amplitudes at mostsubleading order in the 1/N expansion share a remarkable simplicity with graviton amplitudes: collinear divergences are completely absent in both and, as a consequence, their full IR behavior arises from soft gluon/graviton exchange among the external states. In this paper we study the effect of allloop IR divergences of celestial mostsubleading color gluon amplitudes and their similarities with the celestial gravity case. In particular, a simple celestial exponentiation formula for the dipole part can be written. We also analize how this exponentiation is modified by nondipole contributions. Finally we also show that, in the Regge limit, the soft factor satisfies the KnizhnikZamolodchikov equation hinting at the possibility that, in this limit, an effective WessZuminoWitten model would describe the dynamics of the infrared sector. 
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10298479 
ISBN 

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Notes 
WOS:000746997500001 
Approved 

Call Number 
UAI @ alexi.delcanto @ 
Serial 
1530 
Permanent link to this record 