Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-01-21
Phys.Rev.D77:094019,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
12 pages, 8 figures. Two references added, a few minor changes. Published version
Scientific paper
10.1103/PhysRevD.77.094019
Axiomatic principles such as analyticity, unitarity and crossing symmetry constrain the second derivative of the pi pi scattering amplitudes in some channels to be positive in a region of the Mandelstam plane. Since this region lies in the domain of validity of chiral perturbation theory, we can use these positivity conditions to bound linear combinations of \bar{l}_1 and \bar{l}_2. We compare our predictions with those derived previously in the literature using similar methods. We compute the one-loop pi pi scattering amplitude in the linear sigma model (LSM) using the MS-bar scheme, a result hitherto absent in the literature. The LSM values for \bar{l}_1 and \bar{l}_2 violate the bounds for small values of m_sigma/m_pi. We show how this can occur, while still being consistent with the axiomatic principles.
Mateu Vicent
~Manohar Aneesh V.
No associations
LandOfFree
Dispersion Relation Bounds for pi pi Scattering 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 Relation Bounds for pi pi Scattering, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dispersion Relation Bounds for pi pi Scattering will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-594475