Dispersion representations and anomalous singularities of the triangle diagram

Details Dispersion representations and anomalous singularities of the triangle diagram Dispersion representations and anomalous singularities of the triangle diagram

2006-10-25

arxiv.org/abs/hep-ph/0610330v2

Phys.Rev.D75:016001,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, revtex, added a reference, version to be published in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.75.016001

We 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.

Affiliated with

Also associated with

No associations

Rating

Dispersion representations and anomalous singularities of the triangle diagram does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Dispersion representations and anomalous singularities of the triangle diagram, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dispersion representations and anomalous singularities of the triangle diagram will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-378401