Amplitude Zeros in $W^\pm Z$ Production

Details Amplitude Zeros in $W^\pm Z$ Production Amplitude Zeros in $W^\pm Z$ Production

1994-03-08

arxiv.org/abs/hep-ph/9403248v1

Phys.Rev.Lett. 72 (1994) 3941-3944

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 4 figures submitted separately as uuencoded tar-ed postscript files, FSU-HEP-940307, UCD-94-5

Scientific paper

10.1103/PhysRevLett.72.3941

We demonstrate that the Standard Model amplitude for $f_1 \bar f_2 \rightarrow W^\pm Z $ at the Born-level exhibits an approximate zero located at $\cos\theta = (g^{f_1}_{-} + g^{f_2}_{-}) / (g^{f_1}_{-} - g^{f_2}_{-})$ at high energies, where the $g^{f_i}_{-}$ ($i=1,2$) are the left-handed couplings of the $Z$-boson to fermions and $\theta$ is the center of mass scattering angle of the $W$-boson. The approximate zero is the combined result of an exact zero in the dominant helicity amplitudes ${\cal M}(\pm,\mp)$ and strong gauge cancelations in the remaining amplitudes. For non-standard $WWZ$ couplings these cancelations no longer occur and the approximate amplitude zero is eliminated.

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