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Nuclear Physics B
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Nuclear Physics B
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https://dx.doi.org/10.48550/ar...
Article . 2018
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The system of partial differential equations for the C0 function

The system of partial differential equations for the \(C_{0}\) function
Authors: Tai-Fu Feng; Chao-Hsi Chang; Jian-Bin Chen; Hai-Bin Zhang;

The system of partial differential equations for the C0 function

Abstract

We present an approach to analyze the scalar integrals of any Feynman diagrams in detail here. This method not only completely recovers some well-known results in the literature, but also produces some brand new results on the $C_{_0}$ function. The approach can be employed to evaluate the coefficient of arbitrary power of $\varepsilon$ in the expansion of a scalar integral, where $D=4-2\varepsilon$ denotes the time-space dimension.

Latex, 68 pages

Related Organizations
Keywords

High Energy Physics - Theory, High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), High Energy Physics - Theory (hep-th), Nuclear and particle physics. Atomic energy. Radioactivity, Feynman integrals and graphs; applications of algebraic topology and algebraic geometry, FOS: Physical sciences, QC770-798, Feynman diagrams

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
16
Top 10%
Average
Top 10%
Green
gold