Factorization and resummation: A new paradigm to improve gravitational wave amplitudes. II. The higher multipolar modes
Factorization and resummation: A new paradigm to improve gravitational wave amplitudes. II. The higher multipolar modes
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因式分解和求和：提高引力波振幅的新范式。
DOI：
10.1103/physrevd.97.084016
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发表时间：
2018
影响因子：
5
通讯作者：
A. Nagar
中科院分区：
文献类型：
--
作者：
F. Messina;Alberto Maldarella;A. Nagar
Nagar和Shah的因式分解和恢复方法[p]。本文改进并推广到l=6以下的所有多极子，以改进后牛顿（PN）残余波形幅值进入旋转凝聚双星的有效单体、圆形引力波形的强场行为。对于一个绕克尔黑洞运行的测试粒子，无论是轨道（非自旋）还是自旋因子，每个多极振幅都被截断为相对的6 PN阶。通过采用轨道因子的一定的P24近似和自旋因子的逆Taylor （iResum）表示，可以推动具有无因次自旋参数为+0.99的准最大自旋黑洞在最后稳定轨道上5%水平的能量通量的解析/数值一致性。当这个过程推广到质量相当的双星时，每个轨道因子保持在相对的3+3 PN阶；即，在每个模式下，全局3个PN精确的可比质量项与更高PN的测试粒子项杂交，相对顺序高达6个PN。相同的页恢复用于连续性。相比之下，自旋因子仅保持在当前可用的最高可比质量PN阶。我们证明，在恢复的情况下，波形振幅的自旋内容的不同截断之间的一致性比使用Pan等人的标准泰勒展开形式时更加明显。Rev. D 83, 064003 (2011)PRVDAQ1550-799810.1103/ physrev .83.064003]。最后，我们引入了一种在自旋（包括粒子的自旋）存在的情况下也能一致杂化可比较质量和测试粒子信息的方法，并对l=m=2自旋轨道和自旋平方项进行了明确的讨论。本文提出的改进、因式分解和恢复的多极波形幅值有望为有效的单体重力波形模型建立新的标准。
The factorization and resummation approach of Nagar and Shah [Phys. Rev. D 94, 104017 (2016)PRVDAQ2470-001010.1103/PhysRevD.94.104017], designed to improve the strong-field behavior of the post-Newtonian (PN) residual waveform amplitudes flm’s entering the effective-one-body, circularized, gravitational waveform for spinning coalescing binaries, is improved and generalized here to all multipoles up to l=6. For a test particle orbiting a Kerr black hole, each multipolar amplitude is truncated at relative 6 PN order, both for the orbital (nonspinning) and spin factors. By taking a certain Pade approximant (typically the P24 one) of the orbital factor in conjunction with the inverse Taylor (iResum) representation of the spin factor, it is possible to push the analytical/numerical agreement of the energy flux at the level of 5% at the last-stable orbit for a quasimaximally spinning black hole with dimensionless spin parameter +0.99. When the procedure is generalized to comparable-mass binaries, each orbital factor is kept at relative 3+3 PN order; i.e., the globally 3 PN-accurate comparable-mass terms are hybridized with higher-PN test-particle terms up to 6 PN relative order in each mode. The same Pade resummation is used for continuity. By contrast, the spin factor is only kept at the highest comparable-mass PN order currently available. We illustrate that the consistency between different truncations in the spin content of the waveform amplitudes is more marked in the resummed case than when using the standard Taylor-expanded form of Pan et al. [Phys. Rev. D 83, 064003 (2011)PRVDAQ1550-799810.1103/PhysRevD.83.064003]. We finally introduce a method to consistently hybridize comparable-mass and test-particle information also in the presence of spin (including the spin of the particle), discussing it explicitly for the l=m=2 spin-orbit and spin-square terms. The improved, factorized and resummed, multipolar waveform amplitudes presented here are expected to set a new standard for effective one body–based gravitational waveform models.