利用扇形分解描绘三环积分的分析和数值方法

IF 3.5 4区物理与天体物理 Q1 Physics and Astronomy

Progress of Theoretical and Experimental Physics Pub Date : 2024-08-08 DOI:10.1093/ptep/ptae122

Elise de Doncker, Tadashi Ishikawa, Kiyoshi Kato, Fukuko Yuasa

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引用次数: 0

摘要

采用简化扇形分解法对四个三环两点函数进行了分析和数值研究。紫外发散部分的系数是分析确定的，有限部分的系数是数值计算的。明确显示了积分的能量依赖性，并对其行为进行了讨论。

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Analytic and Numerical Approaches for Depictive 3-loop Integrals using Sector Decomposition

Four 3-loop two-point functions are studied analytically and numerically using a simplified sector decomposition method. The coefficients of the ultraviolet divergent part are determined analytically, and those of the finite part are computed numerically. The energy dependence of the integrals is shown explicitly, and a discussion of its behavior is presented.

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来源期刊

Progress of Theoretical and Experimental Physics PHYSICS, MULTIDISCIPLINARY-PHYSICS, PARTICLES & FIELDS

CiteScore

12.00

自引率

5.70%

发文量

148

审稿时长

17 weeks

期刊介绍： Progress of Theoretical and Experimental Physics (PTEP) is an international journal that publishes articles on theoretical and experimental physics. PTEP is a fully open access, online-only journal published by the Physical Society of Japan. PTEP is the successor to Progress of Theoretical Physics (PTP), which terminated in December 2012 and merged into PTEP in January 2013. PTP was founded in 1946 by Hideki Yukawa, the first Japanese Nobel Laureate. PTEP, the successor journal to PTP, has a broader scope than that of PTP covering both theoretical and experimental physics. PTEP mainly covers areas including particles and fields, nuclear physics, astrophysics and cosmology, beam physics and instrumentation, and general and mathematical physics.