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

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arxiv hep-ph/9601221 v1 pith:LNYB3VTQ submitted 1996-01-07 hep-ph

classification hep-ph
keywords crosssectionbeamsbosoncolliderscollidingfiniteproduction
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

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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Cited by 3 Pith papers

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    In Gaussian wave-packet QFT, flavor oscillations switch on only after a propagation-time threshold set by the wave-packet energy uncertainty and the intermediate particle's decay width; below it the neutrino is purely...

  3. Unitarity Cuts, t-channel Divergences and the KLN Theorem for Unstable Particles

    hep-ph 2026-06 unverdicted novelty 4.0 of 10

    Authors formulate prescriptions for KLN cancellations of t-channel divergences in an unstable-particle model, showing scheme-independent results and steps toward finite inclusive observables.

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