Magic production in frames with fixed transverse axes

Determine how the magic production and scattering amplitudes depend on both polar and azimuthal angles when the transverse axes of the reference frame are held fixed rather than chosen event by event.

Background

The analysis uses reference frames fixed separately for each scattering event, which removes azimuthal dependence from the amplitudes. The authors identify the treatment of a more general frame with fixed transverse axes as an unresolved direction because such a frame would introduce dependence on both the scattering angles theta and phi.

References

Several directions remain open. Our reference frames are fixed on an event-by-event basis, so that the amplitudes carry no azimuthal dependence; a more general frame with the transverse axes held fixed would introduce dependence on both $\theta$ and $\phi$ and deserves separate study.

— Quantum Magic in High Energy Collision  (2608.19095 - Li et al., 19 Aug 2026) in Section Conclusions