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首页> 外文期刊>The journal of high energy physics >Four-graviton scattering to three loops in N = 8 $$ mathcal{N}=8 $$ supergravity
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Four-graviton scattering to three loops in N = 8 $$ mathcal{N}=8 $$ supergravity

机译:四重量捕捉到 n = 8 $$ mathcal {n} = 8 $$ Supergravity

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摘要

A bstract We compute the three-loop scattering amplitude of four gravitons in N = 8 $$ mathcal{N}=8 $$ supergravity. Our results are analytic formulae for a Laurent expansion of the amplitude in the regulator of dimensional regularisation. The coefficients of this series are closed formulae in terms of well-established harmonic poly-logarithms. Our results display a remarkable degree of simplicity and represent an important stepping stone in the exploration of the structure of scattering amplitudes. In particular, we observe that to this loop order the four graviton amplitude is given by uniform weight 2 L functions, where L is the loop order.
机译:Bstract我们在n = 8 $$ mathcal {n}} = 8 $$ supergravity中计算四个叫幅度的四个叫幅度的三环散射幅度。 我们的结果是分析公式,用于尺寸规范化调节器中振幅的壮大扩张。 该系列的系数是良好良好的谐波多对轨肌的封闭式公式。 我们的结果显示出显着的简单性,并且代表了一个重要的踏脚石,探索散射幅度的结构。 特别地,我们观察到,对于这种环路,四个格格幅度由均匀的重量2L功能给出,其中L是环路顺序。

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