Title: Efficient integrand reduction for particles with spin Show Chinese title

Title: 自旋粒子的有效被积函数约简

Abstract: Scattering amplitudes with spinning particles are shown to decompose into multiple copies of simple building blocks to all loop orders, which can be used to efficiently reduce these amplitudes to sums over scalar integrals. Absence of unphysical kinematic singularities cleanly exposed by the method uncover novel consistency relations among master integrals and their coefficients. Analytic results are obtained for the five gluon, two loop, and four gluon, three loop planar scattering amplitudes in pure Yang-Mills theory as well as for leading singularities to even higher orders. Show Chinese abstract

Abstract: 带有自旋粒子的散射振幅被证明可以分解为多个简单构建块的多倍，可以在所有环次中用于有效地将这些振幅减少为标量积分的总和。 该方法清晰地揭示了非物理运动学奇点，暴露出主积分及其系数之间的新一致性关系。 在纯Yang-Mills理论中，获得了五胶子、两环以及四胶子、三环平面散射振幅的解析结果，以及更高阶次的主导奇点的解析结果。