New type of beam size effect and the $W$-boson production at $μ^+μ^-$ colliders

Details New type of beam size effect and the $W$-boson production at $μ^+μ^-$ colliders New type of beam size effect and the $W$-boson production at $μ^+μ^-$ colliders

1996-01-07

arxiv.org/abs/hep-ph/9601221v1

Phys.Rev.Lett. 76 (1996) 3263-3266

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex, 8 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.76.3263

The cross section for the reactions of the type $\mu^-\mu^+ \to e\bar\nu_e X$ can not be calculated by the standard methods due to the $t$--channel singularity in the physical region. In this letter we show that accounting for the finite sizes of the colliding beams results in the regularization of this singularity. The finite cross section, which is obtained in this way, turns out to be linear proportional to the transverse sizes of the colliding beams. As an application of the above result, we calculate the cross section of the $W$ boson production at $\mu^+\mu^-$ colliders in the reaction $\mu^- \mu^+ \to e\bar\nu _e W^+$.

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