Loop integration results using numerical extrapolation for a non-scalar integral

被引：18

作者：

de Doncker, E

Shimizu, Y

Fujimoto, J

Yuasa, F

Kaugars, K

Cucos, L

Van Voorst, J

机构：

[1] KEK, High Energy Accelerator Res Org, Tsukuba, Ibaraki 305, Japan

[2] Western Michigan Univ, Dept Comp Sci, Kalamazoo, MI 49008 USA

来源：

NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT | 2004年 / 534卷 / 1-2期

关键词：

one-loop correction; non-scalar four-point function; numerical integration; extrapolation;

D O I：

10.1016/j.nima.2004.07.099

中图分类号：

TH7 [仪器、仪表];

学科分类号：

0804 ; 080401 ; 081102 ;

摘要：

Loop integration results have been obtained using numerical integration and extrapolation. An extrapolation to the limit is performed with respect to a parameter in the integrand which tends to zero. Results are given for a non-scalar four-point diagram. Extensions to accommodate loop integration by existing integration packages are also discussed. These include: using previously generated partitions of the domain and roundoff error guards. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：269 / 273

页数：5

共 12 条

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BELANGER G, HEPPH0308080

[2] AN ADAPTIVE ALGORITHM FOR THE APPROXIMATE CALCULATION OF MULTIPLE INTEGRALS [J].