Numerical evaluation of the general massive 2-loop 4-denominator self-mass master integral from differential equations

The differential equation in the external invariant p^2 satisfied by the master integral of the general massive 2-loop 4-denominator self-mass diagram is exploited and the expansion of the master integral at p^2=0 is obtained analytically. The system composed by this differential equation with those...

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Bibliographic Details
Published in:arXiv.org 2003-12
Main Authors: Caffo, M, Czyz, H, Grzelinska, A, Remiddi, E
Format: Article
Language:English
Subjects:
Differential equations
Integrals
Numerical methods
Runge-Kutta method
Sunrise
Thresholds
Online Access:Get full text
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Summary:The differential equation in the external invariant p^2 satisfied by the master integral of the general massive 2-loop 4-denominator self-mass diagram is exploited and the expansion of the master integral at p^2=0 is obtained analytically. The system composed by this differential equation with those of the master integrals related to the general massive 2-loop sunrise diagram is numerically solved by the Runge-Kutta method in the complex p^2 plane. A numerical method to obtain results for values of p^2 at and close to thresholds and pseudo-thresholds is discussed in details.
ISSN:2331-8422
DOI:10.48550/arxiv.0312189