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1994•Modern Physics Letters AOpen access

LOOP INTEGRALS, ℛ-FUNCTIONS AND THEIR ANALYTIC CONTINUATION

L. Brücher, J. Franzkowski, Dirk Kreimer

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Abstract

To determine entirely the resulting functions of one-loop integrals it is necessary to find the correct analytic continuation to all relevant kinematical regions. We argue that this continuation procedure may be performed in a general and mathematical accurate way by using the ℛ-function notation of these integrals. The two- and three-point cases are discussed explicitly in this manner.

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To determine entirely the resulting functions of one-loop integrals it is necessary to find the correct analytic continuation to all relevant kinematical regions. We argue that this continuation procedure may be performed in a general and mathematical accurate way by using the ℛ-function notation of these integrals. The two- and three-point cases are discussed explicitly in this manner.

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Available abstract

To determine entirely the resulting functions of one-loop integrals it is necessary to find the correct analytic continuation to all relevant kinematical regions. We argue that this continuation procedure may be performed in a general and mathematical accurate way by using the ℛ-function notation of these integrals. The two- and three-point cases are discussed explicitly in this manner.

Key concepts: Analytic continuation, Continuation, Physics, Notation, Analytic function, Function (biology), Loop (graph theory), Point (geometry)

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