Built on

D. Anninos, V. De Luca, G. Franciolini, A. Kehagias, and A. Riotto, “Cosmological Shapes of Higher-Spin Gravity,” JCAP
Original
1902
Earlier work this paper cites.
C. Coriano and M. Maglio, “On Some Hypergeometric Solutions of the Conformal Ward Identities of Scalar 4-point Functions in Momentum Space,” JHEP
Original
1903
Earlier work this paper cites.
S. Albayrak, C. Chowdhury, and S. Kharel, “New Relation for Witten Diagrams,” JHEP
Original
1904
Earlier work this paper cites.
C. Sleight, “A Mellin Space Approach to Cosmological Correlators,” JHEP
Original
1906
Earlier work this paper cites.
S. Kim, T. Noumi, K. Takeuchi, and S. Zhou, “Heavy Spinning Particles from Signs of Primordial Non-Gaussianities: Beyond the Positivity Bounds,” JHEP
Original
1906
Earlier work this paper cites.
C. Sleight and M. Taronna, “Bootstrapping Inflationary Correlators in Mellin Space,” JHEP
Original
1907
Earlier work this paper cites.
S. Alexander, S. J. Gates, L. Jenks, K. Koutrolikos, and E. McDonough, “Higher-Spin Supersymmetry at the Cosmological Collider: Sculpting SUSY Rilles in the CMB,” JHEP
Original
1907
Earlier work this paper cites.
A. Hook, J. Huang, and D. Racco, “Searches for Other Vacua. Part II. A New Higgstory at the Cosmological Collider,” JHEP
Original
1907
Earlier work this paper cites.
S. Albayrak and S. Kharel, “Towards the Higher-Point Holographic Momentum-Space Amplitudes II: Gravitons,” arXiv:1908.01835 [hep-th]
Original
1908
Earlier work this paper cites.
H. Isono, T. Noumi, and G. Shiu, “Momentum Space Approach to Crossing Symmetric CFT Correlators. Part II. General Spacetime Dimension,” JHEP
Original
1908
Earlier work this paper cites.
T. Bautista and H. Godazgar, “Lorentzian CFT Three-Point Functions in Momentum Space,” JHEP
Original
1908
Earlier work this paper cites.
S. Kumar and R. Sundrum, “Cosmological Collider Physics and the Curvaton,” JHEP
Original
1908
Earlier work this paper cites.
P. Benincasa, “Cosmological Polytopes and the Wavefuncton of the Universe for Light States,” arXiv:1909.02517 [hep-th]
Original
1909
Earlier work this paper cites.
M. Gillioz, “Conformal Three-Point Functions and the Lorentzian OPE in Momentum Space,” arXiv:1909.00878 [hep-th]
Original
1909
Earlier work this paper cites.
T. Liu, X. Tong, Y. Wang, and Z.-Z. Xianyu, “Probing P and CP Violations on the Cosmological Collider,” JHEP
Original
1909
Earlier work this paper cites.
D. Baumann, C. Duaso Pueyo, A. Joyce, H. Lee, and G. L. Pimentel, “The Cosmological Bootstrap: Weight-Shifting Operators and Scalar Seeds,” JHEP
Original
1910
Earlier work this paper cites.
A. Bzowski, P. McFadden, and K. Skenderis, “Conformal n n -Point Functions in Momentum Space,” arXiv:1910.10162 [hep-th]
Original
1910
Earlier work this paper cites.
L.-T. Wang and Z.-Z. Xianyu, “In Search of Large Signals at the Cosmological Collider,” JHEP
Original
1910
Earlier work this paper cites.
A. Hillman, “Symbol Recursion for the dS Wave Function,” arXiv:1912.09450 [hep-th]
Original
1912
Earlier work this paper cites.
C. Coriano, M. Maglio, and D. Theofilopoulos, “Four-Point Functions in Momentum Space: Conformal Ward Identities in the Scalar/Tensor Case,” arXiv:1912.01907 [hep-th]
Original
1912
Earlier work this paper cites.
M. Gillioz, X. Lu, M. Luty, and G. Mikaberidze, “Convergent Momentum-Space OPE and Bootstrap Equations in Conformal Field Theory,” JHEP
Original
1912
Earlier work this paper cites.
R. Cutkosky, “Singularities and Discontinuities of Feynman Amplitudes,” J. Math. Phys
1960
Earlier work this paper cites.
G. ’t Hooft and M. Veltman, “Diagrammar,” NATO Sci. Ser. B
1974
Earlier work this paper cites.
A. Guth, “The Inflationary Universe: A Possible Solution to the Horizon and Flatness Problems,” Phys. Rev. D
1981
Earlier work this paper cites.
A. Linde, “A New Inflationary Universe Scenario: A Possible Solution of the Horizon, Flatness, Homogeneity, Isotropy and Primordial Monopole Problems,” Phys. Lett. B
1982
Earlier work this paper cites.
A. Albrecht and P. Steinhardt, “Cosmology for Grand Unified Theories with Radiatively Induced Symmetry Breaking,” Phys. Rev. Lett
1982
Earlier work this paper cites.
H. Kawai, D. Lewellen, and S. H. H. Tye, “A Relation Between Tree Amplitudes of Closed and Open Strings,” Nucl. Phys. B
1986
Earlier work this paper cites.
Cambridge University Press, 8, 1993
G. Sterman, An Introduction to Quantum Field Theory · 1993
Earlier work this paper cites.
Z. Bern and A. Grant, “Perturbative Gravity from QCD Amplitudes,” Phys. Lett. B
1999
Earlier work this paper cites.
S. Albayrak, C. Chowdhury, and S. Kharel, “An Etude of Momentum-Space Scalar Amplitudes in AdS,” arXiv:2001.06777 [hep-th]
Original
2001
Earlier work this paper cites.
D. Green and R. Porto, “Signals of a Quantum Universe,” Phys. Rev. Lett
Original
2001
Earlier work this paper cites.
M. Gillioz, M. Meineri, and J. Penedones, “A Scattering Amplitude in Conformal Field Theory,” arXiv:2003.07361 [hep-th]
Original
2003
Earlier work this paper cites.
J. Maldacena, “Non-Gaussian Features of Primordial Fluctuations in Single-Field Inflationary Models,” JHEP
2003
Earlier work this paper cites.
P. Creminelli, “On Non-Gaussianities in Single-Field Inflation,” JCAP
2003
Earlier work this paper cites.

Similar

E. Witten, “Perturbative Gauge Theory as a String Theory in Twistor Space,” Commun. Math. Phys
2004
Cited alongside, same era.
D. Green and E. Pajer, “On the Symmetries of Cosmological Perturbations,” JCAP
Original
2004
Cited alongside, same era.
M. Alishahiha, E. Silverstein, and D. Tong, “DBI in the Sky,” Phys. Rev. D
2004
Cited alongside, same era.
D. Baumann, C. Duaso Pueyo, A. Joyce, H. Lee, and G. L. Pimentel, “The Cosmological Bootstrap: Spinning Correlators from Symmetries and Factorization,” arXiv:2005.04234 [hep-th]
Original
2005
Cited alongside, same era.
R. Britto, F. Cachazo, B. Feng, and E. Witten, “Direct Proof of Tree-Level Recursion Relation in Yang-Mills Theory,” Phys. Rev. Lett
2005
Cited alongside, same era.

Then

X. Chen and Y. Wang, “Quasi-Single Field Inflation with Large Mass,” JCAP
Original
2012
Later among the works it cites.
S. Pi and M. Sasaki, “Curvature Perturbation Spectrum in Two-Field Inflation with a Turning Trajectory,” JCAP
Original
2012
Later among the works it cites.
S. Raju, “New Recursion Relations and a Flat-Space Limit for AdS/CFT Correlators,” Phys. Rev. D
Original
2012
Later among the works it cites.
Cambridge University Press, 5, 2012
M. Veltman, Diagrammatica: The Path to Feynman Rules · 2012
Later among the works it cites.
E. Joung and K. Mkrtchyan, “A Note on Higher-Derivative Actions for Free Higher-Spin Fields,” JHEP
Original
2012
Later among the works it cites.

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alphaXiv searches the wider corpus for related work and actual follow-ups.

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2021

Linking the Singularities of Cosmological Correlators

Baumann, Daniel, Chen, Wei-Ming, Pueyo, Carlos Duaso et al.

Understand

Much of the structure of cosmological correlators is controlled by their singularities, which in turn are fixed in terms of flat-space scattering amplitudes.

An important challenge is to interpolate between the singular limits to determine the full correlators at arbitrary kinematics.
This is particularly relevant because the singularities of correlators are not directly observable, but can only be accessed by analytic continuation.
In this paper, we study rational correlators, including those of gauge fields, gravitons, and the inflaton, whose only singularities at tree level are poles and whose behavior away from these poles is strongly constrained by unitarity and locality.

Built on

D. Anninos, V. De Luca, G. Franciolini, A. Kehagias, and A. Riotto, “Cosmological Shapes of Higher-Spin Gravity,” JCAP
Original
1902
Earlier work this paper cites.
C. Coriano and M. Maglio, “On Some Hypergeometric Solutions of the Conformal Ward Identities of Scalar 4-point Functions in Momentum Space,” JHEP
Original
1903
Earlier work this paper cites.
S. Albayrak, C. Chowdhury, and S. Kharel, “New Relation for Witten Diagrams,” JHEP
Original
1904
Earlier work this paper cites.
C. Sleight, “A Mellin Space Approach to Cosmological Correlators,” JHEP
Original
1906
Earlier work this paper cites.
S. Kim, T. Noumi, K. Takeuchi, and S. Zhou, “Heavy Spinning Particles from Signs of Primordial Non-Gaussianities: Beyond the Positivity Bounds,” JHEP
Original
1906
Earlier work this paper cites.
C. Sleight and M. Taronna, “Bootstrapping Inflationary Correlators in Mellin Space,” JHEP
Original
1907
Earlier work this paper cites.
S. Alexander, S. J. Gates, L. Jenks, K. Koutrolikos, and E. McDonough, “Higher-Spin Supersymmetry at the Cosmological Collider: Sculpting SUSY Rilles in the CMB,” JHEP
Original
1907
Earlier work this paper cites.
A. Hook, J. Huang, and D. Racco, “Searches for Other Vacua. Part II. A New Higgstory at the Cosmological Collider,” JHEP
Original
1907
Earlier work this paper cites.
S. Albayrak and S. Kharel, “Towards the Higher-Point Holographic Momentum-Space Amplitudes II: Gravitons,” arXiv:1908.01835 [hep-th]
Original
1908
Earlier work this paper cites.
H. Isono, T. Noumi, and G. Shiu, “Momentum Space Approach to Crossing Symmetric CFT Correlators. Part II. General Spacetime Dimension,” JHEP
Original
1908
Earlier work this paper cites.
T. Bautista and H. Godazgar, “Lorentzian CFT Three-Point Functions in Momentum Space,” JHEP
Original
1908
Earlier work this paper cites.
S. Kumar and R. Sundrum, “Cosmological Collider Physics and the Curvaton,” JHEP
Original
1908
Earlier work this paper cites.
P. Benincasa, “Cosmological Polytopes and the Wavefuncton of the Universe for Light States,” arXiv:1909.02517 [hep-th]
Original
1909
Earlier work this paper cites.
M. Gillioz, “Conformal Three-Point Functions and the Lorentzian OPE in Momentum Space,” arXiv:1909.00878 [hep-th]
Original
1909
Earlier work this paper cites.
T. Liu, X. Tong, Y. Wang, and Z.-Z. Xianyu, “Probing P and CP Violations on the Cosmological Collider,” JHEP
Original
1909
Earlier work this paper cites.
D. Baumann, C. Duaso Pueyo, A. Joyce, H. Lee, and G. L. Pimentel, “The Cosmological Bootstrap: Weight-Shifting Operators and Scalar Seeds,” JHEP
Original
1910
Earlier work this paper cites.
A. Bzowski, P. McFadden, and K. Skenderis, “Conformal n n -Point Functions in Momentum Space,” arXiv:1910.10162 [hep-th]
Original
1910
Earlier work this paper cites.
L.-T. Wang and Z.-Z. Xianyu, “In Search of Large Signals at the Cosmological Collider,” JHEP
Original
1910
Earlier work this paper cites.
A. Hillman, “Symbol Recursion for the dS Wave Function,” arXiv:1912.09450 [hep-th]
Original
1912
Earlier work this paper cites.
C. Coriano, M. Maglio, and D. Theofilopoulos, “Four-Point Functions in Momentum Space: Conformal Ward Identities in the Scalar/Tensor Case,” arXiv:1912.01907 [hep-th]
Original
1912
Earlier work this paper cites.
M. Gillioz, X. Lu, M. Luty, and G. Mikaberidze, “Convergent Momentum-Space OPE and Bootstrap Equations in Conformal Field Theory,” JHEP
Original
1912
Earlier work this paper cites.
R. Cutkosky, “Singularities and Discontinuities of Feynman Amplitudes,” J. Math. Phys
1960
Earlier work this paper cites.
G. ’t Hooft and M. Veltman, “Diagrammar,” NATO Sci. Ser. B
1974
Earlier work this paper cites.
A. Guth, “The Inflationary Universe: A Possible Solution to the Horizon and Flatness Problems,” Phys. Rev. D
1981
Earlier work this paper cites.
A. Linde, “A New Inflationary Universe Scenario: A Possible Solution of the Horizon, Flatness, Homogeneity, Isotropy and Primordial Monopole Problems,” Phys. Lett. B
1982
Earlier work this paper cites.
A. Albrecht and P. Steinhardt, “Cosmology for Grand Unified Theories with Radiatively Induced Symmetry Breaking,” Phys. Rev. Lett
1982
Earlier work this paper cites.
H. Kawai, D. Lewellen, and S. H. H. Tye, “A Relation Between Tree Amplitudes of Closed and Open Strings,” Nucl. Phys. B
1986
Earlier work this paper cites.
Cambridge University Press, 8, 1993
G. Sterman, An Introduction to Quantum Field Theory · 1993
Earlier work this paper cites.
Z. Bern and A. Grant, “Perturbative Gravity from QCD Amplitudes,” Phys. Lett. B
1999
Earlier work this paper cites.
S. Albayrak, C. Chowdhury, and S. Kharel, “An Etude of Momentum-Space Scalar Amplitudes in AdS,” arXiv:2001.06777 [hep-th]
Original
2001
Earlier work this paper cites.
D. Green and R. Porto, “Signals of a Quantum Universe,” Phys. Rev. Lett
Original
2001
Earlier work this paper cites.
M. Gillioz, M. Meineri, and J. Penedones, “A Scattering Amplitude in Conformal Field Theory,” arXiv:2003.07361 [hep-th]
Original
2003
Earlier work this paper cites.
J. Maldacena, “Non-Gaussian Features of Primordial Fluctuations in Single-Field Inflationary Models,” JHEP
2003
Earlier work this paper cites.
P. Creminelli, “On Non-Gaussianities in Single-Field Inflation,” JCAP
2003
Earlier work this paper cites.

Similar

E. Witten, “Perturbative Gauge Theory as a String Theory in Twistor Space,” Commun. Math. Phys
2004
Cited alongside, same era.
D. Green and E. Pajer, “On the Symmetries of Cosmological Perturbations,” JCAP
Original
2004
Cited alongside, same era.
M. Alishahiha, E. Silverstein, and D. Tong, “DBI in the Sky,” Phys. Rev. D
2004
Cited alongside, same era.
D. Baumann, C. Duaso Pueyo, A. Joyce, H. Lee, and G. L. Pimentel, “The Cosmological Bootstrap: Spinning Correlators from Symmetries and Factorization,” arXiv:2005.04234 [hep-th]
Original
2005
Cited alongside, same era.
R. Britto, F. Cachazo, B. Feng, and E. Witten, “Direct Proof of Tree-Level Recursion Relation in Yang-Mills Theory,” Phys. Rev. Lett
2005
Cited alongside, same era.

Then

X. Chen and Y. Wang, “Quasi-Single Field Inflation with Large Mass,” JCAP
Original
2012
Later among the works it cites.
S. Pi and M. Sasaki, “Curvature Perturbation Spectrum in Two-Field Inflation with a Turning Trajectory,” JCAP
Original
2012
Later among the works it cites.
S. Raju, “New Recursion Relations and a Flat-Space Limit for AdS/CFT Correlators,” Phys. Rev. D
Original
2012
Later among the works it cites.
Cambridge University Press, 5, 2012
M. Veltman, Diagrammatica: The Path to Feynman Rules · 2012
Later among the works it cites.
E. Joung and K. Mkrtchyan, “A Note on Higher-Derivative Actions for Free Higher-Spin Fields,” JHEP
Original
2012
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

T. Grall, S. Jazayeri, and D. Stefanyszyn, “The cosmological phonon: symmetries and amplitudes on sub-horizon scales,” JHEP

Original

2005

Cited alongside, same era.

P. Creminelli, M. Luty, A. Nicolis, and L. Senatore, “Starting the Universe: Stable Violation of the Null Energy Condition and Non-standard Cosmologies,” JHEP

2006

Cited alongside, same era.

B. Holstein, “Graviton Physics,” Am. J. Phys

2006

Cited alongside, same era.

C. Sleight and M. Taronna, “From AdS to dS Exchanges: Spectral Representation, Mellin Amplitudes and Crossing,” arXiv:2007.09993 [hep-th]

Original

2007

Cited alongside, same era.

E. Pajer, D. Stefanyszyn, and J. Supeł, “The Boostless Bootstrap: Amplitudes without Lorentz boosts,” JHEP

Original

2007