CP violation flavor asymmetries in slepton pair production at leptonic colliders from broken R parity

We examine the effect of the R parity odd, lepton number violating, renormalizable interactions on flavor non-diagonal rates and CP violation asymmetries in the production of slepton pairs, l−+l+→ẽHJ+ẽ★H′J′, [J≠J′, H,H′=(L,R), l=e,μ] at leptonic colliders. The R parity odd coupling constants are assumed to incorporate a CP odd complex phase, ψ. The flavor changing rates are controlled by tree level amplitudes and quadratic products of different R parity violating coupling constants and the CP violating asymmetries by interference terms between tree and loop level amplitudes and quartic products. The consideration of loop amplitudes is restricted to the photon and Z-boson vertex corrections. We present numerical results using a family and (quarks and leptons) species independent mass parameter, m̃, for all the scalar superpartners and making simple assumptions for the family dependence of the R parity odd coupling constants, λ, λ′. The flavor non-diagonal rates, σJJ′, vary in the range, 2 − 20 fbarns times (λ0.1)4 or (λ′0.1)4, for sleptons masses m̃<400 GeV, as one spans the interval of center of mass energies from the Z-boson pole up to 1000 GeV. For sleptons masses, m̃>150 GeV, these observables could be of use at Next Linear Colliders energies to set useful bounds on the R parity odd coupling constants. The order of magnitude of the predicted asymmetries is, AJJ′=σJJ′−σJ′JσJJ′+σJ′J≃10−2 −10−3sinψ.