Numerical evaluation of some master integrals for the 2-loop general massive self-mass from differential equations

被引：0

作者：

Caffo, M ^{[1
]}

机构：

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

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

来源：

ACTA PHYSICA POLONICA B | 2003年 / 34卷 / 11期

关键词：

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

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. Some results obtained for the 2-loop self-mass MI are reviewed. The method offers a reliable and robust approach to the direct and precise numerical evaluation of master integrals.

引用

页码：5357 / 5364

页数：8

共 16 条

[1] Numerical evaluation of general massive 2-loop self-mass master integrals from differential equations
Caffo, M
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NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, 2003, 502 (2-3): : 613 - 614
[2] Numerical evaluation of the general massive 2-loop sunrise self-mass master integrals from differential equations
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[9] REDUCTION OF GENERAL 2-LOOP SELF-ENERGIES TO STANDARD SCALAR INTEGRALS
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