Built on

B. Altschul, “There is No Ambiguity in the Radiatively Induced Gravitational Chern-Simons Term,” Phys. Rev. D 99
Original
1903
Earlier work this paper cites.
H. R. Yu, P. Motloch, U. L. Pen, Y. Yu, H. Wang, H. Mo, X. Yang and Y. Jing, “Probing primordial chirality with galaxy spins,” Phys. Rev. Lett. 124
Original
1904
Earlier work this paper cites.
C. Babusiaux et al
Original
1904
Earlier work this paper cites.
V. Domcke, B. von Harling, E. Morgante and K. Mukaida, “Baryogenesis from axion inflation,” JCAP 10
Original
1905
Earlier work this paper cites.
C. Sleight, “A Mellin Space Approach to Cosmological Correlators,” JHEP 01
Original
1906
Earlier work this paper cites.
D. J. Schlegel, J. A. Kollmeier, G. Aldering, S. Bailey, C. Baltay, C. Bebek, S. BenZvi, R. Besuner, G. Blanc and A. S. Bolton, et al
Original
1907
Earlier work this paper cites.
A. Slosar et al
Original
1907
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 04
Original
1909
Earlier work this paper cites.
M. M. Ivanov, M. Simonović and M. Zaldarriaga, “Cosmological Parameters from the BOSS Galaxy Power Spectrum,” JCAP 05
Original
1909
Earlier work this paper cites.
L. T. Wang and Z. Z. Xianyu, “In Search of Large Signals at the Cosmological Collider,” JHEP 02
Original
1910
Earlier work this paper cites.
T. D. Lee and C. N. Yang, “Question of Parity Conservation in Weak Interactions,” Phys. Rev. 104
1956
Earlier work this paper cites.
S. L. Glashow, “Partial Symmetries of Weak Interactions,” Nucl. Phys. 22
1961
Earlier work this paper cites.
A. D. Sakharov, “Violation of CP Invariance, C asymmetry, and baryon asymmetry of the universe,” Pisma Zh. Eksp. Teor. Fiz. 5
1967
Earlier work this paper cites.
R. Delbourgo and A. Salam, “The gravitational correction to pcac,” Phys. Lett. B 40
1972
Earlier work this paper cites.
A. H. Guth, “The Inflationary Universe: A Possible Solution to the Horizon and Flatness Problems,” Phys. Rev. D 23
1981
Earlier work this paper cites.
N. Kaiser, “Clustering in real space and in redshift space,” Mon. Not. Roy. Astron. Soc. 227
1987
Earlier work this paper cites.
M. B. Green, J. H. Schwarz and E. Witten, “SUPERSTRING THEORY. VOL. 1: INTRODUCTION,” 1988, ISBN 978-0-521-35752-4
1988
Earlier work this paper cites.
K. Freese, J. A. Frieman and A. V. Olinto, “Natural inflation with pseudo - Nambu-Goldstone bosons,” Phys. Rev. Lett. 65
1990
Earlier work this paper cites.
A. Lue, L. M. Wang and M. Kamionkowski, “Cosmological signature of new parity violating interactions,” Phys. Rev. Lett. 83
1999
Earlier work this paper cites.
J. Garriga and V. F. Mukhanov, “Perturbations in k-inflation,” Phys. Lett. B 458
1999
Earlier work this paper cites.
K. Choi, J. c. Hwang and K. W. Hwang, “String theoretic axion coupling and the evolution of cosmic structures,” Phys. Rev. D 61
2000
Earlier work this paper cites.
J. Martin, A. Riazuelo and M. Sakellariadou, “Nonvacuum initial states for cosmological perturbations of quantum mechanical origin,” Phys. Rev. D 61
2000
Earlier work this paper cites.
M. Biagetti and G. Orlando, “Primordial Gravitational Waves from Galaxy Intrinsic Alignments,” JCAP 07
Original
2001
Earlier work this paper cites.
V. Domcke, V. Guidetti, Y. Welling and A. Westphal, “Resonant backreaction in axion inflation,” JCAP 09
Original
2002
Earlier work this paper cites.
R. Jackiw and S. Y. Pi, “Chern-Simons modification of general relativity,” Phys. Rev. D 68
2003
Earlier work this paper cites.
J. M. Maldacena, “Non-Gaussian features of primordial fluctuations in single field inflationary models,” JHEP 05
2003
Earlier work this paper cites.
L. Bordin and G. Cabass, “Graviton non-Gaussianities and Parity Violation in the EFT of Inflation,” JCAP 07
Original
2004
Earlier work this paper cites.
N. Arkani-Hamed, P. Creminelli, S. Mukohyama and M. Zaldarriaga, “Ghost inflation,” JCAP 04
2004
Earlier work this paper cites.
N. Arkani-Hamed, H. C. Cheng, M. A. Luty and S. Mukohyama, “Ghost condensation and a consistent infrared modification of gravity,” JHEP 05
2004
Earlier work this paper cites.
L. T. Wang and Z. Z. Xianyu, “Gauge Boson Signals at the Cosmological Collider,” JHEP 11
Original
2004
Earlier work this paper cites.
T. Mariz, J. R. Nascimento, E. Passos and R. F. Ribeiro, “Chern-Simons - like action induced radiatively in general relativity,” Phys. Rev. D 70
2004
Earlier work this paper cites.
A. Gruzinov, “Elastic inflation,” Phys. Rev. D 70
2004
Earlier work this paper cites.
D. Babich, P. Creminelli and M. Zaldarriaga, “The Shape of non-Gaussianities,” JCAP 08
2004
Earlier work this paper cites.
D. Green and E. Pajer, “On the Symmetries of Cosmological Perturbations,” JCAP 09
Original
2004
Earlier work this paper cites.
D. H. Lyth, C. Quimbay and Y. Rodriguez, “Leptogenesis and tensor polarisation from a gravitational Chern-Simons term,” JHEP 03
2005
Earlier work this paper cites.
S. Alexander and J. Martin, “Birefringent gravitational waves and the consistency check of inflation,” Phys. Rev. D 71
2005
Earlier work this paper cites.
S. Weinberg, “Quantum contributions to cosmological correlations,” Phys. Rev. D 72
2005
Earlier work this paper cites.
D. Babich, “Optimal estimation of non-Gaussianity,” Phys. Rev. D 72
2005
Earlier work this paper cites.
S. H. S. Alexander, M. E. Peskin and M. M. Sheikh-Jabbari, “Leptogenesis from gravity waves in models of inflation,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
V. F. Mukhanov and A. Vikman, “Enhancing the tensor-to-scalar ratio in simple inflation,” JCAP 02
2006
Earlier work this paper cites.
M. Li, H. Rao and D. Zhao, “A simple parity violating gravity model without ghost instability,” JCAP 11
Original
2007
Earlier work this paper cites.
N. Afshordi, D. J. H. Chung and G. Geshnizjani, “Cuscuton: A Causal Field Theory with an Infinite Speed of Sound,” Phys. Rev. D 75
2007
Earlier work this paper cites.
X. Chen, M. x. Huang, S. Kachru and G. Shiu, “Observational signatures and non-Gaussianities of general single field inflation,” JCAP 01
2007
Earlier work this paper cites.
L. Pogosian and M. Wyman, “B-modes from cosmic strings,” Phys. Rev. D 77
Original
2008
Earlier work this paper cites.

Similar

C. Cheung, P. Creminelli, A. L. Fitzpatrick, J. Kaplan and L. Senatore, “The Effective Field Theory of Inflation,” JHEP 03
Original
2008
Cited alongside, same era.
S. Weinberg, “Effective Field Theory for Inflation,” Phys. Rev. D 77
Original
2008
Cited alongside, same era.
T. Mariz, J. R. Nascimento, A. Y. Petrov, L. Y. Santos and A. J. da Silva, “Lorentz violation and the proper-time method,” Phys. Lett. B 661
Original
2008
Cited alongside, same era.
M. Gomes, T. Mariz, J. R. Nascimento, E. Passos, A. Y. Petrov and A. J. da Silva, “On the ambiguities in the effective action in Lorentz-violating gravity,” Phys. Rev. D 78
Original
2008
Cited alongside, same era.
T. L. Smith, A. L. Erickcek, R. R. Caldwell and M. Kamionkowski, “The Effects of Chern-Simons gravity on bodies orbiting the Earth,” Phys. Rev. D 77

Then

N. Bartolo, S. Matarrese, M. Peloso and M. Shiraishi, “Parity-violating and anisotropic correlations in pseudoscalar inflation,” JCAP 01
Original
2015
Later among the works it cites.
N. Bartolo, S. Matarrese, M. Peloso and M. Shiraishi, “Parity-violating CMB correlators with non-decaying statistical anisotropy,” JCAP 07
Original
2015
Later among the works it cites.
F. Sbisà, “Classical and quantum ghosts,” Eur. J. Phys. 36
Original
2015
Later among the works it cites.
S. Alexander, S. Cormack, A. Marcianò and N. Yunes, “Gravitational-Wave Mediated Preheating,” Phys. Lett. B 743
Original
2015
Later among the works it cites.
P. Adshead and E. I. Sfakianakis, “Fermion production during and after axion inflation,” JCAP 11

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2023

Parity-Violating Trispectrum from Chern-Simons Gravity

Creque-Sarbinowski, Cyril, Alexander, Stephon, Kamionkowski, Marc et al.

Understand

We show that dynamical Chern-Simons (dCS) gravity imprints a parity-violating signal in primordial scalar perturbations.

Specifically, we find that, after dCS amplifies one graviton helicity due to a tachyonic instability, the graviton-mediated correlation between two pairs of scalars develops a parity-odd component.
This correlation, the primordial scalar trispectrum, is then transferred to the corresponding curvature correlator and thus is imprinted in both LSS and the CMB.
We find that the parity-odd piece has roughly the same amplitude as its parity-even counterpart, scaled linearly by the degree of gravitational circular polarization $\Pi_{\rm circ} \sim \sqrt{\varepsilon}[H^2/(M_{\rm Pl} f)] \leq 1$, with $\varepsilon$ the slow-roll parameter, $H$ the inflationary Hubble scale, $f$ the dCS decay constant, and the upper bound saturated for purely circularly-polarized gravitons.

Built on

B. Altschul, “There is No Ambiguity in the Radiatively Induced Gravitational Chern-Simons Term,” Phys. Rev. D 99
Original
1903
Earlier work this paper cites.
H. R. Yu, P. Motloch, U. L. Pen, Y. Yu, H. Wang, H. Mo, X. Yang and Y. Jing, “Probing primordial chirality with galaxy spins,” Phys. Rev. Lett. 124
Original
1904
Earlier work this paper cites.
C. Babusiaux et al
Original
1904
Earlier work this paper cites.
V. Domcke, B. von Harling, E. Morgante and K. Mukaida, “Baryogenesis from axion inflation,” JCAP 10
Original
1905
Earlier work this paper cites.
C. Sleight, “A Mellin Space Approach to Cosmological Correlators,” JHEP 01
Original
1906
Earlier work this paper cites.
D. J. Schlegel, J. A. Kollmeier, G. Aldering, S. Bailey, C. Baltay, C. Bebek, S. BenZvi, R. Besuner, G. Blanc and A. S. Bolton, et al
Original
1907
Earlier work this paper cites.
A. Slosar et al
Original
1907
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 04
Original
1909
Earlier work this paper cites.
M. M. Ivanov, M. Simonović and M. Zaldarriaga, “Cosmological Parameters from the BOSS Galaxy Power Spectrum,” JCAP 05
Original
1909
Earlier work this paper cites.
L. T. Wang and Z. Z. Xianyu, “In Search of Large Signals at the Cosmological Collider,” JHEP 02
Original
1910
Earlier work this paper cites.
T. D. Lee and C. N. Yang, “Question of Parity Conservation in Weak Interactions,” Phys. Rev. 104
1956
Earlier work this paper cites.
S. L. Glashow, “Partial Symmetries of Weak Interactions,” Nucl. Phys. 22
1961
Earlier work this paper cites.
A. D. Sakharov, “Violation of CP Invariance, C asymmetry, and baryon asymmetry of the universe,” Pisma Zh. Eksp. Teor. Fiz. 5
1967
Earlier work this paper cites.
R. Delbourgo and A. Salam, “The gravitational correction to pcac,” Phys. Lett. B 40
1972
Earlier work this paper cites.
A. H. Guth, “The Inflationary Universe: A Possible Solution to the Horizon and Flatness Problems,” Phys. Rev. D 23
1981
Earlier work this paper cites.
N. Kaiser, “Clustering in real space and in redshift space,” Mon. Not. Roy. Astron. Soc. 227
1987
Earlier work this paper cites.
M. B. Green, J. H. Schwarz and E. Witten, “SUPERSTRING THEORY. VOL. 1: INTRODUCTION,” 1988, ISBN 978-0-521-35752-4
1988
Earlier work this paper cites.
K. Freese, J. A. Frieman and A. V. Olinto, “Natural inflation with pseudo - Nambu-Goldstone bosons,” Phys. Rev. Lett. 65
1990
Earlier work this paper cites.
A. Lue, L. M. Wang and M. Kamionkowski, “Cosmological signature of new parity violating interactions,” Phys. Rev. Lett. 83
1999
Earlier work this paper cites.
J. Garriga and V. F. Mukhanov, “Perturbations in k-inflation,” Phys. Lett. B 458
1999
Earlier work this paper cites.
K. Choi, J. c. Hwang and K. W. Hwang, “String theoretic axion coupling and the evolution of cosmic structures,” Phys. Rev. D 61
2000
Earlier work this paper cites.
J. Martin, A. Riazuelo and M. Sakellariadou, “Nonvacuum initial states for cosmological perturbations of quantum mechanical origin,” Phys. Rev. D 61
2000
Earlier work this paper cites.
M. Biagetti and G. Orlando, “Primordial Gravitational Waves from Galaxy Intrinsic Alignments,” JCAP 07
Original
2001
Earlier work this paper cites.
V. Domcke, V. Guidetti, Y. Welling and A. Westphal, “Resonant backreaction in axion inflation,” JCAP 09
Original
2002
Earlier work this paper cites.
R. Jackiw and S. Y. Pi, “Chern-Simons modification of general relativity,” Phys. Rev. D 68
2003
Earlier work this paper cites.
J. M. Maldacena, “Non-Gaussian features of primordial fluctuations in single field inflationary models,” JHEP 05
2003
Earlier work this paper cites.
L. Bordin and G. Cabass, “Graviton non-Gaussianities and Parity Violation in the EFT of Inflation,” JCAP 07
Original
2004
Earlier work this paper cites.
N. Arkani-Hamed, P. Creminelli, S. Mukohyama and M. Zaldarriaga, “Ghost inflation,” JCAP 04
2004
Earlier work this paper cites.
N. Arkani-Hamed, H. C. Cheng, M. A. Luty and S. Mukohyama, “Ghost condensation and a consistent infrared modification of gravity,” JHEP 05
2004
Earlier work this paper cites.
L. T. Wang and Z. Z. Xianyu, “Gauge Boson Signals at the Cosmological Collider,” JHEP 11
Original
2004
Earlier work this paper cites.
T. Mariz, J. R. Nascimento, E. Passos and R. F. Ribeiro, “Chern-Simons - like action induced radiatively in general relativity,” Phys. Rev. D 70
2004
Earlier work this paper cites.
A. Gruzinov, “Elastic inflation,” Phys. Rev. D 70
2004
Earlier work this paper cites.
D. Babich, P. Creminelli and M. Zaldarriaga, “The Shape of non-Gaussianities,” JCAP 08
2004
Earlier work this paper cites.
D. Green and E. Pajer, “On the Symmetries of Cosmological Perturbations,” JCAP 09
Original
2004
Earlier work this paper cites.
D. H. Lyth, C. Quimbay and Y. Rodriguez, “Leptogenesis and tensor polarisation from a gravitational Chern-Simons term,” JHEP 03
2005
Earlier work this paper cites.
S. Alexander and J. Martin, “Birefringent gravitational waves and the consistency check of inflation,” Phys. Rev. D 71
2005
Earlier work this paper cites.
S. Weinberg, “Quantum contributions to cosmological correlations,” Phys. Rev. D 72
2005
Earlier work this paper cites.
D. Babich, “Optimal estimation of non-Gaussianity,” Phys. Rev. D 72
2005
Earlier work this paper cites.
S. H. S. Alexander, M. E. Peskin and M. M. Sheikh-Jabbari, “Leptogenesis from gravity waves in models of inflation,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
V. F. Mukhanov and A. Vikman, “Enhancing the tensor-to-scalar ratio in simple inflation,” JCAP 02
2006
Earlier work this paper cites.
M. Li, H. Rao and D. Zhao, “A simple parity violating gravity model without ghost instability,” JCAP 11
Original
2007
Earlier work this paper cites.
N. Afshordi, D. J. H. Chung and G. Geshnizjani, “Cuscuton: A Causal Field Theory with an Infinite Speed of Sound,” Phys. Rev. D 75
2007
Earlier work this paper cites.
X. Chen, M. x. Huang, S. Kachru and G. Shiu, “Observational signatures and non-Gaussianities of general single field inflation,” JCAP 01
2007
Earlier work this paper cites.
L. Pogosian and M. Wyman, “B-modes from cosmic strings,” Phys. Rev. D 77
Original
2008
Earlier work this paper cites.