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arXiv 1902.01767hep-phhep-th
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高能电弱费米子环与无高维算符费米子理论的匹配

Matching high-energy electroweak fermion loops onto the Fermi theory without higher dimensional operators

Roberto Pittau

摘要:

我们通过Fortsch.Phys. 63(2015)132-141中描述的FDR方法导出了将高能可重整化量子场论匹配到低能不可重整化场论的条件。我们的程序工程订单的循环展开,并避免了增加更高的维度的相互作用到nonrenormalizable拉格朗日。为了说明我们的策略,我们匹配的高能费米子环的修正计算在完整的电弱理论nonrenormalizable四费米子费米模型。因此,费米拉格朗日量可以不加修改地用于再现,在任意的回路阶数和能量,两个无质量的费米子线之间的确切的电弱相互作用引起的一个费米子回路的规范玻色子传播。

英文摘要:

We derive the conditions for matching high-energy renormalizable Quantum Field Theories onto low-energy nonrenormalizable ones by means of the FDR approach described in Fortsch.Phys. 63 (2015) 132-141. Our procedure works order-by-order in the loop expansion and avoids the addition of higher dimensional interactions into the nonrenormalizable Lagrangian. To illustrate our strategy, we match the high-energy fermion-loop corrections computed in the complete electroweak theory onto the nonrenormalizable four-fermion Fermi model. As a result, the Fermi Lagrangian can be used without modifications to reproduce, at arbitrary loop orders and energies, the exact electroweak interactions between two massless fermion lines induced by one-fermion-loop resummed gauge boson propagators.

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