论文标题
双副本，以供树级的形态。第一部分。基础
Double copy for tree-level form factors. Part I. Foundations
论文作者
论文摘要
在我们以前的工作中报道了形式因素的双拷贝结构，其中观察到了将阳米尔斯理论中伪造杆变成重力的新型机制。本文是两篇论文中的第一篇，提供了有关树级形态的双层拷贝构造的各种概括。在本文中，我们通过关注Yang-Mills-Scalar理论中的$ {\ rm tr}（ϕ^2）$的形式来建立通用形式主义。关于“虚假”型杆子和各种相关特性的出现进行了详尽的讨论。我们还讨论了两个概括：QCD中的HIGGS振幅，以及具有多个外部标量状态的$ {\ rm tr}（ϕ^2）$ formals。
The double-copy construction for form factors was reported in our previous work, in which a novel mechanism of turning spurious poles in Yang-Mills theory into physical poles in gravity is observed. This paper is the first of a series of two papers providing the details as well as various generalizations on the double-copy construction of tree-level form factors. In this paper, we establish the generic formalism by focusing on the form factor of ${\rm tr}(ϕ^2)$ in the Yang-Mills-scalar theory. A thorough discussion is given on the emergence of the "spurious"-type poles and various related properties. We also discuss two generalizations: the Higgs amplitudes in QCD, and the ${\rm tr}(ϕ^2)$ form factors with multiple external scalar states.
