New techniques for high orders in scattering amplitudes

a）QCD振幅。博士学位将包括继续工作两个循环水平胶子散射振幅扩展的技术用于特定的振幅，其中所有粒子具有相同的螺旋一般情况下。我们的目标是完成所有的五点和六点振幅。这些将是关键的计算，在确定标准模型预测的过程中产生三/四粒子在大型强子对撞机碰撞。我们的理念是计算振幅在封闭的数学分析形式，而不是他们的数字。因此，项目的学生将开发的数学技术，然后使用符号编程语言，如Mathematicab）实现这些超对称振幅。特别是$N=4$超杨米尔斯和$N=8$超引力。这些高度对称的理论具有振幅，在振幅处，可以更容易地辨别潜在的结构和对称性。

a) QCD amplitudes. The PhD would consist of continuing work two-loop level gluon scattering amplitudes extending the techniques used for the particular amplitude where all particles have identical helicity to the general cases. Our goal would be to complete the all the five and six-point amplitudes. These would be the key computations in determining the standard model predictions for processes which produce three/fourparticles in the LHC collisions. Our philosophy is to computeamplitudes in closed mathematical analytic forms rather them numerically.Consequently the project student would be both developing the mathematical techniques and then implementing these using symbolical programming languages such as Mathematicab) Supersymmetric amplitudes. Particularly $N=4$ super Yang-Mills and $N=8$ supergravity. These highly symmetric theories have amplitudes where the underlying structures and symmetries can more easily discerned.