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- Title
Solving integral equations in η→3π.
- Authors
Gasser, Jürg; Rusetsky, Akaki
- Abstract
A dispersive analysis of η→3π decays has been performed in the past by many authors. The numerical analysis of the pertinent integral equations is hampered by two technical difficulties: (i) The angular averages of the amplitudes need to be performed along a complicated path in the complex plane. (ii) The averaged amplitudes develop singularities along the path of integration in the dispersive representation of the full amplitudes. It is a delicate affair to handle these singularities properly, and independent checks of the obtained solutions are demanding and time consuming. In the present article, we propose a solution method that avoids these difficulties. It is based on a simple deformation of the path of integration in the dispersive representation (not in the angular average). Numerical solutions are then obtained rather straightforwardly. We expect that the method also works for ω→3π.
- Subjects
PARTICLE decays; NUMERICAL solutions to integral equations; DEFORMATIONS (Mechanics); NAKED singularities (Cosmology); PARTICLE physics
- Publication
European Physical Journal C -- Particles & Fields, 2018, Vol 78, Issue 11, p1
- ISSN
1434-6044
- Publication type
Article
- DOI
10.1140/epjc/s10052-018-6378-8