Effect of Initial Particle Instability in Muon Collisions

Details Effect of Initial Particle Instability in Muon Collisions Effect of Initial Particle Instability in Muon Collisions

1995-09-15

arxiv.org/abs/hep-ph/9509314v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages. Improvement of LaTeX file

Scientific paper

We study $\mu^+\mu^-$ collision with production of some state $F$ (for example, $F= W^+$) and $(e\bar\nu)$ system with the effective mass, which is less than muon mass. In this case the momentum $k$, transferred from $\mu$ to $e\bar\nu$ system (virtual neutrino momentum), can be time--like. The path of integration over $k^2$ goes through the pole at $k^2=0$. It gives divergent cross section. This divergence disappears if the finite width $\Gamma$ of initial $\mu$ is taken into account. It gives the factor $\propto\Gamma^{-1}$ in cross section. The compensating factor $\Gamma$ appears from $\mu\to e\bar\nu \nu$ subprocess. The resulting cross section is finite but high enough.

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