A scheme to fix multiple solutions in amplitude analyses* * Supported by the National Natural Science Foundation of China (NSFC) (12061141007, 12175005) and by the National Key R&D Program of China (2022YFA1601904)

IF 3.6 2区 物理与天体物理 Q1 PHYSICS, NUCLEAR 中国物理C Pub Date : 2024-05-01 DOI:10.1088/1674-1137/ad2674
Yuanning Gao, Tianze Rong, Zhenwei Yang, Chenjia Zhang, Yanxi Zhang
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Abstract

Decays of unstable heavy particles usually involve the coherent sum of several amplitudes, like in a multiple slit experiment. Dedicated amplitude analysis techniques have been widely used to resolve these amplitudes for better understanding of the underlying dynamics. In special cases where two spin-1/2 particles and two (pseudo-) scalar particles are present in the process, multiple equivalent solutions are found owing to intrinsic symmetries in the summed probability density function. In this study, the problem of multiple solutions is discussed, and a scheme to overcome this problem is proposed by fixing some free parameters. Toys are generated to validate the strategy. A new approach to align the helicities of initial- and final-state particles in different decay chains is also introduced.
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振幅分析中固定多解的方案* * 国家自然科学基金(12061141007,12175005)和国家重点研发计划(2022YFA1601904)资助
不稳定重粒子的衰变通常涉及多个振幅的相干和,就像在多缝实验中一样。专门的振幅分析技术已被广泛用于解析这些振幅,以便更好地理解其背后的动力学。在过程中存在两个自旋-1/2 粒子和两个(伪)标量粒子的特殊情况下,由于求和概率密度函数的内在对称性,可以找到多个等效解。本研究讨论了多解问题,并提出了通过固定一些自由参数来克服这一问题的方案。生成的玩具验证了这一策略。此外,还介绍了一种新方法来调整不同衰变链中初始态和终态粒子的螺旋。
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来源期刊
中国物理C
中国物理C 物理-物理:核物理
CiteScore
6.50
自引率
8.30%
发文量
8976
审稿时长
1.3 months
期刊介绍: Chinese Physics C covers the latest developments and achievements in the theory, experiment and applications of: Particle physics; Nuclear physics; Particle and nuclear astrophysics; Cosmology; Accelerator physics. The journal publishes original research papers, letters and reviews. The Letters section covers short reports on the latest important scientific results, published as quickly as possible. Such breakthrough research articles are a high priority for publication. The Editorial Board is composed of about fifty distinguished physicists, who are responsible for the review of submitted papers and who ensure the scientific quality of the journal. The journal has been awarded the Chinese Academy of Sciences ‘Excellent Journal’ award multiple times, and is recognized as one of China''s top one hundred key scientific periodicals by the General Administration of News and Publications.
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