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We analyze theoretically a three-terminal geometry in a fractional quantumHall system - studied in a recent experiment - which allows a dilute beam ofLaughlin quasiparticles to be prepared and subsequently scattered by a pointcontact. Employing a chiral Luttinger liquid description of the nu^{-1} = minteger edge states, we compute the current and noise of the quasiparticle beamafter transmission through the point contact at finite temperature and biasvoltage. A re-fermionization procedure at m=2 allows the current and noise tobe computed non-perturbatively for arbitrary transparency of the point contact.Surprisingly, we find for weak backscattering the zero temperature limit issubtle and singular even at fixed finite bias voltage. In particular, at T=0the incident charge e/m quasiparticles are either reflected or else Andreevscattered (backscattering a charge (-1 + 1/m)e quasihole and transmitting anelectron) - Laughlin quasiparticles are not transmitted in this limit. A directsignature of these Andreev processes should be accessible in a particularcross-correlation noise measurement that we propose.Comment: 23 pages, 4 figure

Shot noise and the transmission of dilute Laughlin quasiparticles