论文标题

在$ \ Mathcal {n} = 2^{\ ast} $理论中散射幅度和BCFW

Scattering Amplitudes and BCFW in $\mathcal{N}=2^{\ast}$ Theory

论文作者

Abhishek, Md., Hegde, Subramanya, Jatkar, Dileep P., Saha, Arnab Priya

论文摘要

我们使用巨大的旋转螺旋形式主义来研究$ \ Mathcal {n} = 2^*$ Super-Yang-Mills理论的散射幅度。我们在该理论的库仑分支的任意点计算振幅。我们使用$ \ Mathcal {n} = 4 $理论的投影计算幅度,并使用特殊运动学以方便的形式写出三个点振幅​​。然后,我们通过进行幅度的巨大BCFW偏移来计算四点振幅。我们发现其中一些移位的振幅为$ z = \ infty $。将残留物以$ z = \ infty $考虑确保最终结果的小组协方差。

We use massive spinor helicity formalism to study scattering amplitudes in $\mathcal{N}=2^*$ super-Yang-Mills theory in four dimensions. We compute the amplitudes at an arbitrary point in the Coulomb branch of this theory. We compute amplitudes using projection from $\mathcal{N}=4$ theory and write three point amplitudes in a convenient form using special kinematics. We then compute four point amplitudes by carrying out massive BCFW shifts of the amplitudes. We find some of the shifted amplitudes have a pole at $z=\infty$. Taking the residue at $z=\infty$ into account ensures little group covariance of the final result.

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