1 R - Parity Violation : Pandora ’ s Box of SUSY

I discuss several promising R-parity violating processes at ee colliders. 1 R-Parity Violation: Pandora’s Box of SUSY In the Minimal Supersymmetric Standard Model several new interactions are allowed if R-parity is explicitly broken. The superpotential W = W R √+W R× now reads [1] W R √ = hUijQ̂iĤuûcj + hDijQ̂iĤdd̂cj + hEijL̂iĤdêcj + μĤdĤu (1) and W R× = λijkL̂iL̂j êck + λ′ijkL̂iQ̂j d̂ck + λ ijkûci d̂cj d̂ck + κiL̂iĤu. (2) Note that i, j, k = 1, 2, 3, λijk = −λjik because L̂iL̂j = ǫabL̂ai L̂bj = L̂1i L̂2j − L̂2i L̂1j , and λ ijk = −λ′′ ikj to counter-balance the antisymmetricity of the color indices of the superfields d̂. In general there are thus 39 L-number (λ, λ, κ) and 9 B-number violating (λ) couplings. Since the superfields L̂i (i = 1, 2, 3) and Ĥd carry the same quantum numbers, one can rotate them by an arbitrary SU(4) rotation U . This operation in general mixes the Yukawa couplings h with λ, h with λ, and κa with μ, respectively. This Invited talk at the Workshop on Physics and Experiments with Linear ee Colliders, Waikaloa, Hawaii, April 26-30, 1993, to appear in the Proceedings.