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北美退伍军人节(Veterans Day),12 日无更新
arXiv 1607.02142hep-phhep-th
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用泛函方法积分出重粒子:一个简化的框架

Integrating out heavy particles with functional methods: a simplified framework

Javier Fuentes-Martin, Jorge Portoles, Pedro Ruiz-Femenia

摘要:

我们提出了一个系统的程序,以获得一个循环的低能量有效拉格朗日积分出的重场的紫外线理论。我们表明,匹配系数完全由涉及重场的泛函行列式的硬区域决定。这代表了相对于常规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,并且必须发生红外发散部分的消除。我们说明了一个描述性的玩具模型和扩展的标准模型与一个沉重的真正的标量三元组的方法。与最近提出的其他方案进行了比较。

英文摘要:

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.

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