Parametrized test of parity-violating gravity using GWTC-1 events. (arXiv:2006.11086v2 [gr-qc] UPDATED)
<a href="http://arxiv.org/find/gr-qc/1/au:+Yamada_K/0/1/0/all/0/1">Kei Yamada</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Tanaka_T/0/1/0/all/0/1">Takahiro Tanaka</a>

Parity-violating (PV) gravity has recently attracted interest in several
aspects. One of them is the axion-graviton coupling to test the axion-dark
matter model. Moreover, by extending Chern-Simons (CS) gravity to include
derivatives of a scalar field up to the second order, a more general class of
PV gravity theory, which we call the CNCL model, has been proposed~[M.
Crisostomi {it et al.}, Phys. Rev. D, {bf 97}, 044034 (2018)]. The model can
be further extended by including even higher derivatives of the scalar field
and/or higher curvature terms. In this paper, we discuss the effect of parity
violation in the gravitational sector on the propagation of gravitational waves
from binary coalescence by introducing a model-independent parametrization of
modification. Our parametrization includes the CNCL model as well as CS
gravity. The effect of parity violation on the gravitational waveform is
maximum when the source binary orientation to our line of sight is edge-on,
while the modified waveform reduces to the parity-symmetric one when the source
is face-on. We perform a search for the signature of such modification by using
the LIGO/Virgo O1/O2 catalog. We find that the catalog data is consistent with
general relativity and obtain constraints on parity violation in gravity for
various post-Newtonian order modifications for the first time. The obtained
constraint on CS gravity is consistent with the results in previous works. On
the other hand, the constraint on the CNCL model that we obtain is tighter than
the previous results by roughly 7 orders of magnitude.

Parity-violating (PV) gravity has recently attracted interest in several
aspects. One of them is the axion-graviton coupling to test the axion-dark
matter model. Moreover, by extending Chern-Simons (CS) gravity to include
derivatives of a scalar field up to the second order, a more general class of
PV gravity theory, which we call the CNCL model, has been proposed~[M.
Crisostomi {it et al.}, Phys. Rev. D, {bf 97}, 044034 (2018)]. The model can
be further extended by including even higher derivatives of the scalar field
and/or higher curvature terms. In this paper, we discuss the effect of parity
violation in the gravitational sector on the propagation of gravitational waves
from binary coalescence by introducing a model-independent parametrization of
modification. Our parametrization includes the CNCL model as well as CS
gravity. The effect of parity violation on the gravitational waveform is
maximum when the source binary orientation to our line of sight is edge-on,
while the modified waveform reduces to the parity-symmetric one when the source
is face-on. We perform a search for the signature of such modification by using
the LIGO/Virgo O1/O2 catalog. We find that the catalog data is consistent with
general relativity and obtain constraints on parity violation in gravity for
various post-Newtonian order modifications for the first time. The obtained
constraint on CS gravity is consistent with the results in previous works. On
the other hand, the constraint on the CNCL model that we obtain is tighter than
the previous results by roughly 7 orders of magnitude.

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