一种有效的介子转换和介子轨道衰变场论

IF 5.4 1区 物理与天体物理 Q1 Physics and Astronomy
Duarte Fontes, Robert Szafron
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引用次数: 0

摘要

介子转换是研究带电轻子风味违逆的最佳探针之一。实验极限有望很快提高4个数量级,因此需要对信号频谱形状进行精确预测。同样重要的是对介子轨道衰变的精确预测,这是介子转换的主要背景。虽然在核尺度以上计算这两个过程的电磁修正不涉及重大挑战,但由于多尺度、束缚态效应和实验设置,在核尺度以下计算变得更加复杂。在这里,我们提出了一个系统的框架,通过诉诸一系列有效的场理论来解决这些挑战。结合重夸克有效理论(HQET)、非相对论性量子量子理论(NRQED)、势量子量子量子理论(potential NRQED)、软共线有效理论I和软共线有效理论II,以及推进的重夸克量子量子理论,导出了重夸克有效理论的因数分解定理,并给出了重夸克有效理论的重整化群方程。我们的框架允许对这两个过程的速率进行适当的精确预测,这对即将到来的μ子转换搜索具有重要意义。我们还为这些搜索提供最准确的信号形状预测。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
An effective field theory for muon conversion and muon decay-in-orbit

Muon conversion is one of the best probes of charged lepton flavor violation. The experimental limit is soon expected to improve by four orders of magnitude, thus calling for precise predictions of the shape of the signal spectrum. Equally important are precise predictions for muon decay-in-orbit, the main background for muon conversion. While the calculation of electromagnetic corrections to the two processes above the nuclear scale does not involve significant challenges, it becomes substantially more complex below that scale due to multiple scales, bound-state effects and experimental setup. Here, we present a systematic framework that addresses these challenges by resorting to a series of effective field theories. Combining Heavy Quark Effective Theory (HQET), Non-Relativistic QED (NRQED), potential NRQED, Soft-Collinear Effective Theory I and II, and boosted HQET, we derive a factorization theorem and present the renormalization group equations. Our framework allows for the proper calculation of precise predictions for the rates of the two processes, with crucial implications for the upcoming muon conversion searches. We also provide the most accurate prediction of the signal shape for those searches.

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来源期刊
Journal of High Energy Physics
Journal of High Energy Physics 物理-物理:粒子与场物理
CiteScore
10.30
自引率
46.30%
发文量
2107
审稿时长
1.5 months
期刊介绍: The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal. Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles. JHEP presently encompasses the following areas of theoretical and experimental physics: Collider Physics Underground and Large Array Physics Quantum Field Theory Gauge Field Theories Symmetries String and Brane Theory General Relativity and Gravitation Supersymmetry Mathematical Methods of Physics Mostly Solvable Models Astroparticles Statistical Field Theories Mostly Weak Interactions Mostly Strong Interactions Quantum Field Theory (phenomenology) Strings and Branes Phenomenological Aspects of Supersymmetry Mostly Strong Interactions (phenomenology).
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