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Geometric approach to asymptotic expansion of Feynman integrals

A. Pak
(
- KIT, Karlsruhe, TTP
)
,
A. Smirnov
(
- KIT, Karlsruhe, TTP and
- Moscow State U.
)

Nov, 2010

6 pages

Published in:

Eur.Phys.J.C 71 (2011) 1626

e-Print:

1011.4863 [hep-ph]

DOI:

10.1140/epjc/s10052-011-1626-1

View in:

ADS Abstract Service

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Abstract: (arXiv)

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.

space: vector
asymptotic expansion
Feynman graph
higher-dimensional
loop integral: 1
loop integral: 2
programming
regularization: dimensional
geometry

References(13)

Figures(6)

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)

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)

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)

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)
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,
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Vladimir A. Smirnov
(
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)

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Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)

A.V. Smirnov
(
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)
,
M.N. Tentyukov
(
- Karlsruhe U., TTP
)

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•
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•
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A.V. Smirnov
(
- Moscow, Computing Ctr.
)
,
V.A. Smirnov
(
- SINP, Moscow
)
,
M. Tentyukov
(
- Karlsruhe U., TTP
)

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•
e-Print:
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•
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Heavy-to-heavy quark decays at NNLO

Alexey Pak
(
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)
,
Andrzej Czarnecki
(
- Alberta U.
)

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•
e-Print:
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•
DOI:
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