Analytical Result for Dimensionally Regularized Massless Master Non-planar Double Box with One Leg off Shell

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dc.creatorSmirnov, V. A.
dc.date2000-11-03
dc.date2000-12-22
dc.date.accessioned2026-07-07T10:52:11Z
dc.date.available2026-07-07T10:52:11Z
dc.descriptionThe dimensionally regularized massless non-planar double box Feynman diagram with powers of propagators equal to one, one leg off the mass shell, i.e. with p_1^2=q^2\neq 0, and three legs on shell, p_i^2=0, i=2,3,4, is analytically calculated for general values of q^2 and the Mandelstam variables s,t and u (not necessarily restricted by the physical condition s+t+u=q^2). An explicit result is expressed through (generalized) polylogarithms, up to the fourth order, dependent on rational combinations of q^2,s,t and u, and simple finite two- and three fold Mellin--Barnes integrals of products of gamma functions which are easily numerically evaluated for arbitrary non-zero values of the arguments.
dc.description9 pages, LaTeX with axodraw.sty, minor changes in references, to appear in Physics Letters B
dc.identifierhttps://arxiv.org/abs/hep-ph/0011056
dc.identifierhttp://arxiv.org/abs/hep-ph/0011056
dc.identifierPhys.Lett.B500:330-337,2001
dc.identifierdoi:10.1016/S0370-2693(01)00083-1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185075
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleAnalytical Result for Dimensionally Regularized Massless Master Non-planar Double Box with One Leg off Shell
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