Geometric approach to asymptotic expansion of Feynman integrals

被引：93

作者：

Pak, A. ^{[1
]}

Smirnov, A. ^{[1
,2
]}

机构：

[1] KIT, Inst Theoret Teilchenphys, D-76128 Karlsruhe, Germany

[2] Moscow MV Lomonosov State Univ, Sci Res Comp Ctr, Moscow 119991, Russia

来源：

EUROPEAN PHYSICAL JOURNAL C | 2011年 / 71卷 / 04期

关键词：

MOMENTA; FIESTA; MASSES;

D O I：

10.1140/epjc/s10052-011-1626-1

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：

We present an algorithm that reveals relevant contributions in non-threshold-type asymptotic expansion of Feynman integrals about a small parameter. It is shown that the problem reduces to finding a convex hull of a set of points in a multidimensional vector space.

引用

页码：1 / 6

页数：6

共 11 条

[1] Asymptotic expansion of Feynman integrals near threshold [J].

Beneke, M ;

Smirnov, VA .

NUCLEAR PHYSICS B, 1998, 522 (1-2) :321-344

[2]

Bogolyubov N.N., 1959, Phys. Today, V3, P1, DOI DOI 10.1063/1.3057034

[3] Corrections of O(ααs) to the decay of the Z boson into bottom quarks [J].

Harlander, R ;

Seidensticker, T ;

Steinhauser, M .

PHYSICS LETTERS B, 1998, 426 (1-2) :125-132

[4] Heavy-to-heavy quark decays at next-to-next-to-leading order [J].

Pak, Alexey ;

Czarnecki, Andrzej .

PHYSICAL REVIEW D, 2008, 78 (11)

[5]

Seidensticker T., 1999, HEPPH9905298

[6] FIESTA 2: Parallelizeable multiloop numerical calculations [J].

Smirnov, A. V. ;

Smirnov, V. A. ;

Tentyukov, M. .

COMPUTER PHYSICS COMMUNICATIONS, 2011, 182 (03) :790-803

[7] Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA) [J].

Smirnov, A. V. ;

Tentyukov, M. N. .

COMPUTER PHYSICS COMMUNICATIONS, 2009, 180 (05) :735-746

[8] Problems of the strategy of regions [J].

Smirnov, VA .

PHYSICS LETTERS B, 1999, 465 (1-4) :226-234

[9]

Smirnov VA, 2002, SPRINGER TRAC MOD PH, V177, P1

[10] ASYMPTOTIC EXPANSIONS IN MOMENTA AND MASSES AND CALCULATION OF FEYNMAN DIAGRAMS [J].

SMIRNOV, VA .

MODERN PHYSICS LETTERS A, 1995, 10 (21) :1485-1499

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