在殼觀點下的（旋轉）重力吸收過程

Abstract

本文使用不同質量的(自旋)粒子，建構出三點散射震幅，並用來描述黑洞吸收 過程的動力學。我們發現這樣的三點散射震幅，可以重現在圖科斯基方程裡出現 的特殊函數：自旋加權橢球諧函數。在這個等效的描述中，原本未知的「威爾森係數」的絕對值平方，可以透過和已知的吸收過程截面比對而得到。我們接著將 他應用於計算重力康普頓散射震幅中，源自於吸收過程的修正，並且在超極限的條件下，此修正量產生了參考資料[1]中，相依於非解析|a|的貢獻。

We utilize three point amplitudes with (spinning) particles of unequal mass and a graviton to capture the dynamics of black hole absorption processes. We demonstrate that the construction can represent the spheroidal harmonics appearing in the Teukolsky equations. The absolute square of the “Wilson coefficients” in this effective description can be fixed by matching to the known absorptive cross-sections. As an application, we compute corrections to the gravitational Compton amplitude from the exchange of states corresponding to such absorption effects. In the super- extremal limit, the corrections generate the non-analytic |a|-dependent contribution of the Compton amplitude found in ref. [1].