Including higher order multipoles in gravitational-wave models for precessing binary black holes. (arXiv:1911.06050v1 [gr-qc])
<a href="http://arxiv.org/find/gr-qc/1/au:+Khan_S/0/1/0/all/0/1">Sebastian Khan</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Ohme_F/0/1/0/all/0/1">Frank Ohme</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Chatziioannou_K/0/1/0/all/0/1">Katerina Chatziioannou</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Hannam_M/0/1/0/all/0/1">Mark Hannam</a>

Estimates of the source parameters of gravitational-wave (GW) events produced
by compact binary mergers rely on theoretical models for the GW signal. We
present the first frequency-domain model for inspiral, merger and ringdown of
the GW signal from precessing binary-black-hole systems that also includes
multipoles beyond the leading-order quadrupole. Our model, {tt PhenomPv3HM},
is a combination of the higher-multipole non-precessing model {tt PhenomHM}
and the spin-precessing model {tt PhenomPv3} that includes two-spin precession
via a dynamical rotation of the GW multipoles. We validate the new model by
comparing to a large set of precessing numerical-relativity simulations and
find excellent agreement across the majority of the parameter space they cover.
For mass ratios $<5$ the mismatch improves, on average, from $sim6%$ to $sim 2%$ compared to {tt PhenomPv3} when we include higher multipoles in the model. However, we find mismatches $sim8%$ for the mass-ratio $6$ and highly spinning simulation. As a first application of the new model we have analysed the binary black hole event GW170729. We find larger values for the primary black hole mass of $58.25^{+11.73}_{-12.53} , M_odot$ (90% credible interval). The lower limit ($sim 46 , M_odot$) is comparable to the proposed maximum black hole mass predicted by different stellar evolution models due to the pulsation pair-instability supernova (PPISN) mechanism. If we assume that the primary ac{BH} in GW170729 formed through a PPISN then out of the four PPISN models we considered only the model of Woosley (2017) is consistent with our mass measurements at the 90% level.

Estimates of the source parameters of gravitational-wave (GW) events produced
by compact binary mergers rely on theoretical models for the GW signal. We
present the first frequency-domain model for inspiral, merger and ringdown of
the GW signal from precessing binary-black-hole systems that also includes
multipoles beyond the leading-order quadrupole. Our model, {tt PhenomPv3HM},
is a combination of the higher-multipole non-precessing model {tt PhenomHM}
and the spin-precessing model {tt PhenomPv3} that includes two-spin precession
via a dynamical rotation of the GW multipoles. We validate the new model by
comparing to a large set of precessing numerical-relativity simulations and
find excellent agreement across the majority of the parameter space they cover.
For mass ratios $<5$ the mismatch improves, on average, from $sim6%$ to $sim
2%$ compared to {tt PhenomPv3} when we include higher multipoles in the
model. However, we find mismatches $sim8%$ for the mass-ratio $6$ and highly
spinning simulation. As a first application of the new model we have analysed
the binary black hole event GW170729. We find larger values for the primary
black hole mass of $58.25^{+11.73}_{-12.53} , M_odot$ (90% credible
interval). The lower limit ($sim 46 , M_odot$) is comparable to the proposed
maximum black hole mass predicted by different stellar evolution models due to
the pulsation pair-instability supernova (PPISN) mechanism. If we assume that
the primary ac{BH} in GW170729 formed through a PPISN then out of the four
PPISN models we considered only the model of Woosley (2017) is consistent with
our mass measurements at the 90% level.

http://arxiv.org/icons/sfx.gif