The Imaginary Part of the N = 4 Super-Yang-Mills Two-Loop Six-Point MHV Amplitude in Multi-Regge Kinematics

The Imaginary Part of the N = 4 Super-Yang-Mills Two-Loop Six-Point MHV Amplitude in Multi-Regge Kinematics
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多规运动学中N=4超杨米尔斯二环六点MHV振幅的虚部

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发表时间:
2009
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通讯作者:
R. Schabinger
R. Schabinger
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作者:
R. Schabinger

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在N = 4的超杨-米尔斯理论中,两圈六点MHV振幅的多Regge渐近的精确形式一直是一个有争议的问题。在本文中,我们利用振幅/威尔逊回路对应这些渐近的虚部,以获得精确的数值结果。我们考虑的相空间区域很有趣,因为它允许Bartels,Lipatov和Sabio Vera确定双回路六点MHV振幅不是由BDS模拟器固定的。他们继续在高能量有效作用的框架内工作,从而避免了艰苦的双环计算。我们的数值结果是一致的巴特尔斯,Lipatov,和Sabio Vera的领先的对数渐近的预测。
The precise form of the multi-Regge asymptotics of the two-loop six-point MHV amplitude in N = 4 Super-Yang-Mills theory has been a subject of recent controversy. In this paper we utilize the amplitude/Wilson loop correspondence to obtain precise numerical results for the imaginary part of these asymptotics. The region of phase-space that we consider is interesting because it allowed Bartels, Lipatov, and Sabio Vera to determine that the two-loop six-point MHV amplitude is not fixed by the BDS ansatz. They proceeded by working in the framework of a high energy effective action, thus side-stepping the need for an arduous two-loop calculation. Our numerical results are consistent with the predictions of Bartels, Lipatov, and Sabio Vera for the leading-log asymptotics.