Dispersion representations and anomalous singularities of the triangle diagram

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dc.creatorLucha, Wolfgang
dc.creatorMelikhov, Dmitri
dc.creatorSimula, Silvano
dc.date2006-10-25
dc.date2006-12-12
dc.date.accessioned2026-07-07T10:25:47Z
dc.date.available2026-07-07T10:25:47Z
dc.descriptionWe discuss dispersion representations for the triangle diagram $F(p_1^2,p_2^2,q^2)$, the single dispersion representation in $q^2$ and the double dispersion representation in $p_1^2$ and $p_2^2$, with special emphasis on the appearance of the anomalous singularities and the anomalous cuts in these representations. For the double dispersion representation in $p_1^2$ and $p_2^2$, the appearance of the anomalous cut in the region $q^2>0$ is demonstrated, and a new derivation of the anomalous double spectral density is given. We point out that the double spectral representation is particularly suitable for applications in the region of $p_1^2$ and/or $p_2^2$ above the two-particle thresholds. The dispersion representations for the triangle diagram in the nonrelativistic limit are studied and compared with the triangle diagram of the nonrelativistic field theory.
dc.description10 pages, revtex, added a reference, version to be published in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/hep-ph/0610330
dc.identifierhttp://arxiv.org/abs/hep-ph/0610330
dc.identifierPhys.Rev.D75:016001,2007
dc.identifierdoi:10.1103/PhysRevD.75.016001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/176657
dc.subjectHigh Energy Physics - Phenomenology
dc.titleDispersion representations and anomalous singularities of the triangle diagram
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