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Integration by parts identities in integer numbers of dimensions. A criterion for decoupling systems of differential equations
(Elsevier, 2015-12)
Integration by parts identities (IBPs) can be used to express large numbers of apparently different
d-dimensional Feynman Integrals in terms of a small subset of so-called master integrals (MIs). Using
the IBPs one can ...
Systematization of basic divergent integrals in perturbation theory and renormalization group functions
(Elsevier, 2009-02)
We show that to n loop order the divergent content of a Feynman amplitude is spanned by a set of
basic (logarithmically divergent) integrals I
(i)
log(λ2), i = 1, 2,...,n, λ being the renormalization group scale,
which ...