论文标题
来自前线限制的爱因斯坦阳米尔米尔的一环振幅
One-loop amplitudes in Einstein-Yang-Mills from forward limits
论文作者
论文摘要
我们提出了一种计算任何数量外部仪表和重力多重的一环爱因斯坦阳米尔振幅的积分的方法。我们的构建依赖于爱因斯坦 - 杨米尔斯的双层拷贝结构，作为（超级）阳米尔，带有所谓的ym+$ n+$ n $理论 - 纯Yang-mills耦合到双方标量量表 - 我们通过一环cachazo-he-yuan形式实现。 YM+$ ϕ^3 $构建块是从外部胶和标量中树级输入的正向限制中获得的，我们为耦合$ g $和$κ$中任意数量的迹线和订单提供了组成规则。一方面，我们阐明了超对称性和维度不足的关系，这些关系将爱因斯坦 - 杨米尔的循环积分降低到纯仪表理论的循环集成。另一方面，我们给出了所有超对称性取消的最大和半末端超对称性的四点结果。在半最大的情况下，我们由于循环中的手性超强而确定六维异常。
We present a method to compute the integrands of one-loop Einstein-Yang-Mills amplitudes for any number of external gauge and gravity multiplets. Our construction relies on the double-copy structure of Einstein-Yang-Mills as (super-)Yang-Mills with the so-called YM+$ϕ^3$ theory -- pure Yang-Mills coupled to bi-adjoint scalars -- which we implement via one-loop Cachazo-He-Yuan formulae. The YM+$ϕ^3$ building blocks are obtained from forward limits of tree-level input in external gluons and scalars, and we give the composition rules for any number of traces and orders in the couplings $g$ and $κ$. On the one hand, we spell out supersymmetry- and dimension-agnostic relations that reduce loop integrands of Einstein-Yang-Mills to those of pure gauge theories. On the other hand, we present four-point results for maximal and half-maximal supersymmetry where all supersymmetry cancellations are exposed. In the half-maximal case, we determine six-dimensional anomalies due to chiral hypermultiplets in the loop.
