论文标题
$ {\ cal n} = 4 $ sym和$ {\ cal n} = 8 $ supergravity四点振幅的regge限制之间的全环关系
All-loop-orders relation between Regge limits of ${\cal N}=4$ SYM and ${\cal N}=8$ supergravity four-point amplitudes
论文作者
论文摘要
我们详细检查了（非平面）$ {\ cal n} = 4 $ sym四点振幅的regge极限的结构。我们首先要开发颜色因子的基础$ c_ {ik} $适用于在任何循环顺序下幅度的振幅限制，然后使用Henn和Mistlberger先前计算的全部幅度的Regge限制在此基础上明确计算该振幅的系数。 We compute these coefficients exactly at one loop, through ${\cal O} (ε^2)$ at two loops, and through ${\cal O} (ε^0)$ at three loops, verifying that the IR-divergent pieces are consistent with (the Regge limit of) the expected infrared divergence structure, including a contribution from the three-loop correction to the dipole formula.我们还验证了与Caron-Huot等人的IR-Finite NLL和NNLL预测的一致性。最后，我们使用这些结果来激发一个系数之一与$ {\ cal n} = 8 $ SuperGravity四点振幅之间的全端关系的猜想。
We examine in detail the structure of the Regge limit of the (nonplanar) ${\cal N}=4$ SYM four-point amplitude. We begin by developing a basis of color factors $C_{ik}$ suitable for the Regge limit of the amplitude at any loop order, and then calculate explicitly the coefficients of the amplitude in that basis through three-loop order using the Regge limit of the full amplitude previously calculated by Henn and Mistlberger. We compute these coefficients exactly at one loop, through ${\cal O} (ε^2)$ at two loops, and through ${\cal O} (ε^0)$ at three loops, verifying that the IR-divergent pieces are consistent with (the Regge limit of) the expected infrared divergence structure, including a contribution from the three-loop correction to the dipole formula. We also verify consistency with the IR-finite NLL and NNLL predictions of Caron-Huot et al. Finally we use these results to motivate the conjecture of an all-orders relation between one of the coefficients and the Regge limit of the ${\cal N} =8$ supergravity four-point amplitude.
