Ferrario Paola, Rodrigo Germán, Talavera Pere
Instituto de Física Corpuscular, CSIC-Universitat de València, Apartado de Correos 22085, E-46071 Valencia, Spain.
Phys Rev Lett. 2006 May 12;96(18):182001. doi: 10.1103/PhysRevLett.96.182001. Epub 2006 May 9.
Combining the Berends-Giele and on-shell recursion relations we obtain an extremely compact expression for the scattering amplitude of a complex massive scalar-antiscalar pair and an arbitrary number of positive helicity gluons. This is one of the basic building blocks for constructing other helicity configurations from recursion relations. We also show explicitly that the scattering amplitude of massive fermions to gluons, all with positive helicity, is proportional to the scalar one, confirming in this way the recently advocated SUSY-like Ward identities relating both amplitudes.
结合贝伦兹 - 吉勒（Berends - Giele）关系和壳上递推关系，我们得到了一个极其紧凑的表达式，用于描述一个复质量标量 - 反标量对与任意数量正螺旋度胶子的散射振幅。这是从递推关系构建其他螺旋度构型的基本组成部分之一。我们还明确表明，所有具有正螺旋度的大质量费米子与胶子的散射振幅与标量的散射振幅成正比，从而证实了最近所倡导的将这两个振幅联系起来的类超对称沃德恒等式。
