Institut für Theoretische Physik, Universität Zürich, 8057 Zürich, Switzerland.
Phys Rev Lett. 2012 Mar 16;108(11):111601. doi: 10.1103/PhysRevLett.108.111601. Epub 2012 Mar 12.
We introduce a new technique to generate scattering amplitudes at one loop. Traditional tree algorithms, which handle diagrams with fixed momenta, are promoted to generators of loop-momentum polynomials that we call open loops. Combining open loops with tensor-integral and Ossola-Papadopoulos-Pittau reduction results in a fully flexible, very fast, and numerically stable one-loop generator. As demonstrated with nontrivial applications, the open-loop approach will permit us to obtain precise predictions for a very wide range of collider processes.
我们介绍了一种新的技术,用于生成单圈散射振幅。传统的处理固定动量图的树算法被推广为我们称之为开环的环动量多项式生成器。将开环与张量积分和 Ossola-Papadopoulos-Pittau 约化相结合,得到了一个完全灵活、非常快速和数值稳定的单圈生成器。通过非平凡的应用演示,开环方法将使我们能够对非常广泛的对撞机过程进行精确预测。