We solve exactly the scalar box integral using the Mellin–Barnes representation. First we recognize the hypergeometric functions resumming the series coming from the scalar inte- grals, then we perform an analytic continuation before applying the Laurent expansion in = (d − 4)/2 of the result.
The Scalar Box Integral And The Melllin–Barnes Representation / P. Valtancoli. - In: INTERNATIONAL JOURNAL OF MODERN PHYSICS A. - ISSN 0217-751X. - STAMPA. - International Journal of Modern Physics A Volume No.26, Issue No. 15:(2011), pp. 2557-2568. [10.1142/S0217751X11053444]
The Scalar Box Integral And The Melllin–Barnes Representation
VALTANCOLI, PAOLO
2011
Abstract
We solve exactly the scalar box integral using the Mellin–Barnes representation. First we recognize the hypergeometric functions resumming the series coming from the scalar inte- grals, then we perform an analytic continuation before applying the Laurent expansion in = (d − 4)/2 of the result.
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