The scalar box integral and the Mellin - Barnes representation

Details The scalar box integral and the Mellin - Barnes representation The scalar box integral and the Mellin - Barnes representation

2011-04-14

arxiv.org/abs/1104.2661v1

Int.J.Mod.Phys.A26:2557-2568,2011

Physics

Mathematical Physics

13 pages, no figures

Scientific paper

10.1142/S0217751X11053444

We solve exactly the scalar box integral using the Mellin-Barnes
representation. Firstly we recognize the hypergeometric functions resumming the
series coming from the scalar integrals, then we perform an analytic
continuation before applying the Laurent expansion in^2 = (d !' 4)=2 of the
result.

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