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arXiv 1602.07770hep-phnucl-th
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QED-NRQED有效场论的基本原理：I.超前功率下的NLO散射

Elements of QED-NRQED Effective Field Theory: I. NLO scattering at leading power

Steven P. Dye, Matthew Gonderinger, Gil Paz

备注：
15 pages, 3 figures. v2: text and references added, journal version
发表信息：
Phys. Rev. D 94, 013006 (2016)
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摘要：

质子半径之谜，即常规氢和μ子氢之间质子电荷半径提取的巨大差异，挑战了我们对质子结构的理解。它也可能是一种新的力的指示，这种力与μ子耦合，但不与电子耦合。使用非相对论量子电动力学（NRQED）的有效场论分析表明，μ子氢的结果可以解释为一个大的，相比一些模型的估计，μ子质子自旋无关的接触相互作用。μ介子氢的结果可以通过μ介子-质子散射实验（MUSE）进行测试，该实验计划在瑞士的Paul Scherrer研究所进行。在这个实验中，μ子的典型动量是μ子质量的量级。在这种能量状态下，μ子是相对论性的，但质子仍然是非相对论性的。μ子和质子之间的相互作用可以用混合QED-NRQED有效场论来描述。我们提出这个有效场论的一些要素。特别地，我们考虑${\cal O}(Zα)$散射功率$m^2/M^2$，其中$m$（$M$）是μ子（质子）质量和$Z=1$质子，和${\cal O}(Z^2α^2)$散射在领先的功率。我们展示了如何前者再现Rosenbluth散射功率$m^2/M^2$和后者的相对论散射的静态电位。在${\cal O}(Z^2α^2)$的质子结构修正将在随后的论文中考虑。

英文摘要：

The proton radius puzzle, i.e. the large discrepancy in the extraction of the proton charge radius between regular and muonic hydrogen, challenges our understanding of the structure of the proton. It can also be an indication of a new force that couples to muons, but not to electrons. An effective field theory analysis using Non Relativistic Quantum Electrodynamics (NRQED) indicates that the muonic hydrogen result can be interpreted as a large, compared to some model estimates, muon-proton spin-independent contact interaction. The muonic hydrogen result can be tested by a muon-proton scattering experiment, MUSE, that is planned at the Paul Scherrer Institute in Switzerland. The typical momenta of the muons in this experiment are of the order of the muon mass. In this energy regime the muons are relativistic but the protons are still non-relativistic. The interaction between the muons and protons can be described by a hybrid QED-NRQED effective field theory. We present some elements of this effective field theory. In particular we consider ${\cal O}(Zα)$ scattering up to power $m^2/M^2$, where $m$ ($M$) is the muon (proton) mass and $Z=1$ for a proton, and ${\cal O}(Z^2α^2)$ scattering at leading power. We show how the former reproduces Rosenbluth scattering up to power $m^2/M^2$ and the latter the relativistic scattering off a static potential. Proton structure corrections at ${\cal O}(Z^2α^2)$ will be considered in a subsequent paper.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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