Polarization Correlations in Muon Pair Production in the Electroweak Model

TL;DR

This paper calculates spin correlation probabilities for muon pairs produced in electron-positron collisions within the electroweak model, revealing quantum violations of Bell's inequality based on explicit quantum field theory computations.

Contribution

It provides the first explicit quantum field theory derivation of muon pair spin correlations in the electroweak model, highlighting dependence on collision speed and couplings.

Findings

Explicit probabilities depend on collision speed and couplings

Results show violation of Bell's inequality

Expressions differ from purely kinematical spin combinations

Abstract

Explicit field theory computations are carried out of the joint probabilities associated with spin correlations of $\mu^{-}\mu^{+}$ produced in $e^{-}e^{+}$ collision in the standard electroweak model to the leading order. The derived expressions are found to depend not only on the speed of the $e^{-}e^{+}$ pair but also on the underlying couplings. These expressions are unlike the ones obtained from simply combining the spins of the relevant particles which are of kinematical nature. It is remarkable that these explicit results obtained from quantum field theory show a clear violation of Bell's inequality.