Application of the negative-dimension approach to massless scalar box integrals

Simple item page
dc.creatorAnastasiou, C.
dc.creatorGlover, E. W. N.
dc.creatorOleari, C.
dc.date1999-07-28
dc.date.accessioned2026-07-07T10:33:55Z
dc.date.available2026-07-07T10:33:55Z
dc.descriptionWe study massless one-loop box integrals by treating the number of space-time dimensions D as a negative integer. We consider integrals with up to three kinematic scales (s, t and either zero or one off-shell legs) and with arbitrary powers of propagators. For box integrals with q kinematic scales (where q=2 or 3) we immediately obtain a representation of the graph in terms of a finite sum of generalised hypergeometric functions with q-1 variables, valid for general D. Because the power each propagator is raised to is treated as a parameter, these general expressions are useful in evaluating certain types of two-loop box integrals which are one-loop insertions to one-loop box graphs. We present general expressions for this particular class of two-loop graphs with one off-shell leg, and give explicit representations in terms of polylogarithms in the on-shell case.
dc.description23 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/hep-ph/9907523
dc.identifierhttp://arxiv.org/abs/hep-ph/9907523
dc.identifierNucl.Phys.B565:445-467,2000
dc.identifierdoi:10.1016/S0550-3213(99)00636-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/179296
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleApplication of the negative-dimension approach to massless scalar box integrals
dc.typetext

Files

Collections

arXiv