论文标题
纯虚拟颗粒的一环积分
One-Loop Integrals for Purely Virtual Particles
论文作者
论文摘要
具有纯粹的虚拟颗粒或假子的量子场理论需要在一环积分中进行合适的修改。在气泡，三角形和框图的情况下，我们为修改的标量积分提供了表达式。新功能是通过与`t Hooft-Veltman标量积分积分的差异来定义的。这些修改不会影响Passarino-Veltman还原的推导，并且可以以相同的方式分解具有非平凡分子的一环积分。因此，新功能可直接用于研究具有标准粒子和假子的任何模型的现象学。我们将结果与标准幅度进行比较，并表明最大的差异通常位于相对较小的能量范围内，并且以其他非分析性为特征。最后，我们在玩具模型的背景下给出了明确的示例，其中横截面和标准粒子的衰减宽度是通过假子的存在来修改的。
Quantum field theories with purely virtual particles, or fakeons, require suitable modifications in one-loop integrals. We provide the expressions for the modified scalar integrals in the case of the bubble, triangle and box diagrams. The new functions are defined by means of their difference with the `t Hooft-Veltman scalar integrals. The modifications do not affect the derivation of the Passarino-Veltman reduction and one-loop integrals with nontrivial numerators can be decomposed in the same fashion. Therefore, the new functions can be directly used to study the phenomenology of any models with standard particles and fakeons. We compare our results with standard amplitudes and show that the largest differences are often localized in relatively small energy ranges and are characterized by additional nonanalyticities. Finally, we give explicit examples in the context of a toy model, where cross sections and decay widths of standard particles are modified by the presence of fakeons.
