Numerical evaluation of one-loop diagrams near exceptional momentum configurations

W. Giele; E. W.N. Glover; G. Zanderighi

doi:10.1016/j.nuclphysbps.2004.09.028

Numerical evaluation of one-loop diagrams near exceptional momentum configurations

W. Giele
, E. W.N. Glover
, G. Zanderighi

Fermi National Accelerator Laboratory
University of Durham

Research output: Contribution to journal › Article › peer-review

40 Scopus citations

Abstract

One problem which plagues the numerical evaluation of one-loop Feynman diagrams using recursive integration by part relations is a numerical instability near exceptional momentum configurations. In this contribution we will discuss a generic solution to this problem. As an example we consider the case of forward light-by-light scattering.

Original language	English
Pages (from-to)	275-279
Number of pages	5
Journal	Nuclear Physics B (Proceedings Supplements)
Volume	135
Issue number	1-3 SPEC.ISS.
DOIs	https://doi.org/10.1016/j.nuclphysbps.2004.09.028
State	Published - Oct 2004
Externally published	Yes

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10.1016/j.nuclphysbps.2004.09.028

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title = "Numerical evaluation of one-loop diagrams near exceptional momentum configurations",

abstract = "One problem which plagues the numerical evaluation of one-loop Feynman diagrams using recursive integration by part relations is a numerical instability near exceptional momentum configurations. In this contribution we will discuss a generic solution to this problem. As an example we consider the case of forward light-by-light scattering.",

author = "W. Giele and Glover, \{E. W.N.\} and G. Zanderighi",

year = "2004",

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doi = "10.1016/j.nuclphysbps.2004.09.028",

language = "English",

volume = "135",

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journal = "Nuclear Physics B (Proceedings Supplements)",

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AU - Giele, W.

AU - Glover, E. W.N.

AU - Zanderighi, G.

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Y1 - 2004/10

N2 - One problem which plagues the numerical evaluation of one-loop Feynman diagrams using recursive integration by part relations is a numerical instability near exceptional momentum configurations. In this contribution we will discuss a generic solution to this problem. As an example we consider the case of forward light-by-light scattering.

AB - One problem which plagues the numerical evaluation of one-loop Feynman diagrams using recursive integration by part relations is a numerical instability near exceptional momentum configurations. In this contribution we will discuss a generic solution to this problem. As an example we consider the case of forward light-by-light scattering.

UR - https://www.scopus.com/pages/publications/5444249270

U2 - 10.1016/j.nuclphysbps.2004.09.028

DO - 10.1016/j.nuclphysbps.2004.09.028

M3 - Article

AN - SCOPUS:5444249270

SN - 0920-5632

VL - 135

SP - 275

EP - 279

JO - Nuclear Physics B (Proceedings Supplements)

JF - Nuclear Physics B (Proceedings Supplements)

IS - 1-3 SPEC.ISS.

ER -

Numerical evaluation of one-loop diagrams near exceptional momentum configurations

Abstract

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