Magic identities for conformal four-point integrals | Zendy

J. M. Drummond | Zendy; Johannes M. Henn | Zendy; Vladimir A. Smirnov | Zendy; Emery Sokatchev | Zendy

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Magic identities for conformal four-point integrals

Author(s) -

J. M. Drummond,

Johannes M. Henn,

Vladimir A. Smirnov,

Emery Sokatchev

Publication year - 2007

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2007/01/064

Subject(s) - conformal map , feynman integral , mathematics , scalar (mathematics) , pure mathematics , magic (telescope) , class (philosophy) , point (geometry) , algebra over a field , mathematical physics , mathematical analysis , feynman diagram , physics , geometry , computer science , quantum mechanics , artificial intelligence

We propose an iterative procedure for constructing classes of off-shellfour-point conformal integrals which are identical. The proof of the identityis based on the conformal properties of a subintegral common for the wholeclass. The simplest example are the so-called `triple scalar box' and `tenniscourt' integrals. In this case we also give an independent proof using themethod of Mellin--Barnes representation which can be applied in a similar wayfor general off-shell Feynman integrals.Comment: 13 pages, 12 figures. New proof included with neater discussion of contact terms. Typo correcte

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