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Title of Journal: J High Energ Phys

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Abbravation: Journal of High Energy Physics

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Springer Berlin Heidelberg

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DOI

10.1016/0014-5793(92)80640-3

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1029-8479

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A quasifinite basis for multiloop Feynman integr

Authors: Andreas von Manteuffel Erik Panzer Robert M Schabinger
Publish Date: 2015/02/18
Volume: 2015, Issue: 2, Pages: 120-
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Abstract

We present a new method for the decomposition of multiloop Euclidean Feynman integrals into quasifinite Feynman integrals These are defined in shifted dimensions with higher powers of the propagators make explicit both infrared and ultraviolet divergences and allow for an immediate and trivial expansion in the parameter of dimensional regularization Our approach avoids the introduction of spurious structures and thereby leaves integrals particularly accessible to direct analytical integration techniques Alternatively the resulting convergent Feynman parameter integrals may be evaluated numerically Our approach is guided by previous work by the second author but overcomes practical limitations of the original procedure by employing integration by parts reductionThis article is published under an open access license Please check the Copyright Information section for details of this license and what reuse is permitted If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and reuse information please contact the Rights and Permissions team

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