Integrating out heavy particles with functional methods: a simplified framework
Integrating out heavy particles with functional methods: a simplified framework
复制标题
DOI：
10.1007/jhep09(2016)156
复制
发表时间：
2016-07
影响因子：
5.4
通讯作者：
J. Fuentes-Martín;J. Portolés;P. Ruiz-Femeńıa
中科院分区：
文献类型：
--
作者：
J. Fuentes-Martín;J. Portolés;P. Ruiz-Femeńıa
我们给出了一个系统的过程来获得单圈低能有效拉格朗日，这是通过积分给定的紫外线理论的重场而得到的。我们证明了匹配系数完全由涉及重场的泛函行列式的硬域决定。这是对传统匹配方法的重要简化，其中必须单独计算全部和有效的理论贡献，并且必须消除红外发散部分。我们用一个描述性的玩具模型和一个标准模型的扩展来说明该方法。并与最近提出的其他方案进行了比较。
We present a systematic procedure to obtain the one-loop low-energy effective Lagrangian resulting from integrating out the heavy fields of a given ultraviolet theory. We show that the matching coefficients are determined entirely by the hard region of the functional determinant involving the heavy fields. This represents an important simplification with respect the conventional matching approach, where the full and effective theory contributions have to be computed separately and a cancellation of the infrared divergent parts has to take place. We illustrate the method with a descriptive toy model and with an extension of the Standard Model with a heavy real scalar triplet. A comparison with other schemes that have been put forward recently is also provided.