Numerical evaluation of master integrals from differential equations

被引：15

作者：

Caffo, M ^{[1
]}

Czyz, H

Remiddi, E

机构：

[1] Ist Nazl Fis Nucl, Sezione Bologna, I-40126 Bologna, Italy

[2] Univ Bologna, Dipartimento Fis, I-40126 Bologna, Italy

[3] Silesian Univ, Inst Phys, PL-40007 Katowice, Poland

来源：

NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS | 2003年 / 116卷

关键词：

D O I：

10.1016/S0920-5632(03)80212-8

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

The 4-th order Runge-Kutta method in the complex plane is proposed for numerically advancing the solutions of a system of first order differential equations in one external invariant satisfied by the master integrals related to a Feynman graph. The particular case of the general massive 2-loop sunrise self-mass diagram is analyzed. The method offers a reliable and robust approach to the direct and precise numerical evaluation of master integrals.

引用

页码：422 / 426

页数：5

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