Erratum: Parametrized-4.5PN TaylorF2 approximants and tail effects to quartic nonlinear order from the effective one body formalism [Phys. Rev. D 95 , 124001 (2017)]
Erratum: Parametrized-4.5PN TaylorF2 approximants and tail effects to quartic nonlinear order from the effective one body formalism [Phys. Rev. D 95 , 124001 (2017)]
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DOI：
10.1103/physrevd.97.109902
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发表时间：
2017-03
影响因子：
5
通讯作者：
F. Messina;A. Nagar
中科院分区：
文献类型：
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作者：
F. Messina;A. Nagar
通过后牛顿（PN）展开众所周知的，因式分解和图解的，有效的一体能流的圆形双星，我们表明：（i）由于图解尾因子的存在，4. 5 PN-精确的尾尾尾贡献的能量通量最近计算的Marchand等人[经典量子引力33，244003（2016）]实际上包含在图中的表达式中;这也是马尔萨特等人[经典量子引力31，025023（2014）]的次首阶尾诱导自旋轨道项的情况;（ii）在展开过程中，我们还首次得到了3.5PN首阶尾诱导自旋-自旋通量项;及（iii）推动（非自旋）EOB通量高达5.5PN阶，我们计算4PN，5 PN和5.5PN贡献的能量通量，虽然在一种形式，明确取决于，目前未知，4PN和5 PN非测试质量校正因子分解波形振幅。在这个（参数化的）4.5PN精度内，我们计算泰勒F2近似。为了简单起见，专注于nonspinning的情况下，并使用数值相对论校准的IMRPhenomD波形模型作为基准，我们证明，它是可能的，以再现的衍生物的IMRPhenomD相位（说高达史瓦西最后稳定轨道的频率），通过弯曲只有一个4PN的“有效”的波形振幅参数。初步分析还表明，对于自旋取向的情况，只要保持自旋轨道和自旋自旋项的首阶，就可以得到类似的结果。我们的研究结果表明，这些类型的EOB派生，参数化，高阶，PN近似可以作为有前途的工具，以构建inspiral-merge-ringdown唯象模型，甚至取代标准使用的3. 5 PN-准确的TaylorF 2近似搜索小质量的双星。
By post-Newtonian (PN) expanding the well-known, factorized and resummed, effective-one-body energy flux for circularized binaries, we show that (i) because of the presence of the resummed tail factor, the 4.5PN-accurate tails-of-tails-of-tails contribution to the energy flux recently computed by Marchand et al. [Classical Quantum Gravity 33, 244003 (2016)] is actually contained in the resummed expression; this is also the case of the next-to-leading-order tail-induced spin-orbit term of Marsat et al. [Classical Quantum Gravity 31, 025023 (2014)]; (ii) in performing this expansion, we also obtain, for the first time, the explicit 3.5PN leading-order tail-induced spin-spin flux term; and (iii) pushing the PN expansion of the (nonspinning) EOB flux up to 5.5PN order, we compute 4PN, 5PN, and 5.5PN contributions to the energy flux, though in a form that explicitly depends on, currently unknown, 4PN and 5PN non-test-mass corrections to the factorized waveform amplitudes. Within this (parametrized) 4.5PN accuracy, we calculate the Taylor F2 approximant. Focusing for simplicity on the nonspinning case and using the numerical-relativity calibrated IMRPhenomD waveform model as a benchmark, we demonstrate that it is possible to reproduce the derivative of the IMRPhenomD phase (say up to the frequency of the Schwarzschild last-stable-orbit) by flexing only a 4PN ``effective'' waveform amplitude parameter. A preliminary analysis also illustrates that similar results can be obtained for the spin-aligned case provided only the leading-order spin-orbit and spin-spin terms are kept. Our findings suggest that these types of EOB-derived, parametrized, higher-order, PN approximants may serve as promising tools to construct inspiral-merger-ringdown phenomenological models or even to replace the standardly used 3.5PN-accurate TaylorF2 approximant in searches of small-mass binaries.