有效场论中的引力拉曼散射：$\u0001f4aa(G^3)$阶的标量潮汐匹配
Gravitational Raman Scattering in Effective Field Theory: a Scalar Tidal Matching at $\mathcal{O}(G^3)$
AI总结：
本研究在世界线有效场论框架下提出计算引力类拉曼散射振幅的方法，算出含潮汐效应的第三后闵可夫斯基阶标量散射相移，揭示动力学勒夫数经典重整化群流的两个来源，验证黑洞情形下与广义相对论的一致性并完成领头阶标量动力学勒夫数匹配，为高阶计算奠定基础。
摘要：
我们提出了一种在世界线有效场论（EFT）框架下计算引力类拉曼过程振幅的方法，该过程是波从致密天体上发生的准弹性散射。作为示例，我们计算了无质量标量场散射的第三后闵可夫斯基（PM）阶（$\u0001f4aa(G^3)$，即两圈）相移，包含所有潮汐效应与耗散。我们的计算揭示了动力学勒夫数经典重整化群流的两个来源：与致密天体性质无关的普适跑动，以及潮汐自诱导的跑动。限定在黑洞情形下，我们发现只要将相关的静态勒夫数设为零，我们的EFT相移就与广义相对论的结果完全一致。此外，我们完成了对领头阶标量动力学勒夫数的完整匹配，该勒夫数用于重整化S波中的普适短程发散。我们的结果为系统计算更高PM阶的引力拉曼散射铺平了道路。
英文摘要：
We present a framework to compute amplitudes for the gravitational analog of the Raman process, a quasi-elastic scattering of waves off compact objects, in worldline effective field theory (EFT). As an example, we calculate third post-Minkowskian (PM) order ($\mathcal{O}(G^3)$), or two-loop, phase shifts for the scattering of a massless scalar field including all tidal effects and dissipation. Our calculation unveils two sources of the classical renormalization-group flow of dynamical Love numbers: a universal running independent of the nature of the compact object, and a running self-induced by tides. Restricting to the black hole case, we find that our EFT phase shifts agree exactly with those from general relativity, provided that the relevant static Love numbers are set to zero. In addition, we carry out a complete matching of the leading scalar dynamical Love number required to renormalize a universal short scale divergence in the S-wave. Our results pave the way for systematic calculations of gravitational Raman scattering at higher PM orders.
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