Lepton Number Violating Radiative W Decay in Models with R-parity Violation

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Models with explicit R-parity violation can induce new rare radiative decay modes of the W boson into single supersymmetric particles which also violate lepton number. We examine the rate and signature for one such decay, W→ lγ, and find that such a mode will be very difficult to observe, due its small branching fraction, even if the lepton number violating coupling in the superpotential is comparable in strength to electromagnetism. This parallels a similar result obtained earlier by Hewett in the case of radiative Z decays.