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Neutral Weak Interactions and Particle Decays (1976)


5. The Decay

There are two possible methods to detect NWI in . The first is to observe parity violation, and the second to measure the weak corrections to . We discuss these in turn.



[ Figure 4 ] Diagram for the process .

We shall neglect final-state interactions in energy asymmetries can occur only in the presence of violation and final state interactions [19,20] if invariance holds. The possible correlations are then [20] () is some spin vector, some momentum):

(3) must be zero, since the momenta are coplanar in this case, (1) may be measurable in the case , by analysing the decay electron momentum to find the polarization (9). These asymmetries may occur at the level in the Weinberg-Salam model.

is thought to proceed mainly by a intermediate state (10). Llewellyn Smith [21] obtains but uses a Lagrangian which forces to be in an S-wave, and thus suppresses the rate by a factor of . Cheng [22] considers various vector meson dominance models, and concludes that . We give his in fig. 5. Fig. 3 gives . We note that non-vector NWI would modify the tail of .

Our analysis for the NWI mechanism in follows closely that in subsect. 4.4 for . Now is not forbidden but merely suppressed by . In the Weinberg-Salam model, we obtain (pure weak) and (weak-electromagnetic interference) , and slightly more for tensor NWI. Probably, no decay has been observed, and the present limit is [23].



[ Figure 5 ] Graph of for a purely two-photon mechanism [22].

The electromagnetic part of has never been calculated: from Llewellyn Smith's results we obtain . No such estimate is possible in Cheng's model from existing calculations, since he takes . Experimentally [24] -- not far above the theoretical estimate. NWI contributions will tend to be suppressed in compared to . We obtain (weak-electromagnetic) .

We expect , . The present experimental bounds are [10] and respectively.

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