连续明科斯肯维度正则化中不同质量日出的最大切面

IF 2.5 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B Pub Date : 2024-11-06 DOI:10.1016/j.nuclphysb.2024.116733

Filippo Caleca , Ettore Remiddi

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引用次数: 0

摘要

我们通过直接使用连续维正则化中的环矩（而不是通常的欧几里得）来评估具有三种不同质量的两个环日出振幅的最大切分，从而得到以一维有限积分形式表示的六个相关但不同的函数。然后，我们考虑对 maxcut 有效的四阶同次方程，并证明对于任意维数 d，六个函数确实分别满足该方程。我们进一步讨论了 d=2,3,4 的情况，验证了其中只有四个函数是线性独立的。此外，我们还简短地讨论了等质量极限。

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The maxcut of the sunrise with different masses in the continuous Minkoskean dimensional regularisation

We evaluate the maxcut of the two loops sunrise amplitude with three different masses by direct use of the loop momenta in the Minkoskean (as opposed to the usual Euclidean) continuous dimension regularisation, obtaining in that way six related but different functions expressed in the form of one dimensional finite integrals. We then consider the 4th order homogeneous equation valid for the maxcut, and show that for arbitrary dimension d the six functions do satisfy the equation separately. We further discuss the

d = 2, 3, 4

cases, verifying that only four of them are linearly independent. The equal mass limit is also shortly considered.

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来源期刊

Nuclear Physics B 物理-物理：粒子与场物理

CiteScore

5.50

自引率

7.10%

发文量

302

审稿时长

1 months

期刊介绍： Nuclear Physics B focuses on the domain of high energy physics, quantum field theory, statistical systems, and mathematical physics, and includes four main sections: high energy physics - phenomenology, high energy physics - theory, high energy physics - experiment, and quantum field theory, statistical systems, and mathematical physics. The emphasis is on original research papers (Frontiers Articles or Full Length Articles), but Review Articles are also welcome.