Integration by parts identities in integer numbers of dimensions. A criterion for decoupling systems of differential equations

dc.contributor.author	Tancredi, Lorenzo
dc.date.accessioned	2018-05-14T06:02:07Z
dc.date.available	2018-05-14T06:02:07Z
dc.date.issued	2015-12
dc.description.abstract	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 moreover show that the MIs fulfil linear systems of coupled differential equations in the external invariants. With the increase in number of loops and external legs, one is left in general with an increasing number of MIs and consequently also with an increasing number of coupled differential equations, which can turn out to be very difficult to solve. In this paper we show how studying the IBPs in fixed integer numbers of dimension d = n with n ∈ N one can extract the information useful to determine a new basis of MIs, whose differential equations decouple as d → n and can therefore be more easily solved as Laurent expansion in (d − n)	en_US
dc.identifier.citation	Nuclear Physics B 901 (2015) 282-317	en_US
dc.identifier.uri	doi.org/10.1016/j.nuclphysb.2015.10.015
dc.identifier.uri	http://hdl.handle.net/123456789/1337
dc.language.iso	en	en_US
dc.publisher	Elsevier	en_US
dc.subject	Differential equations	en_US
dc.subject	Integrals	en_US
dc.title	Integration by parts identities in integer numbers of dimensions. A criterion for decoupling systems of differential equations	en_US
dc.type	Article	en_US

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