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We report the results of a search for pair production of doubly-charged Higgsbosons via ppbar to H^{++}H^{--}X to mu^+mu^+mu^-mu^-X at sqrt{s} = 1.96 TeV.We use a dataset corresponding to an integrated luminosity of 1.1 fb^{-1}collected from 2002 to 2006 by the D0 detector at the Fermilab TevatronCollider. In the absence of an excess above the standard model background,lower mass limits of M(H^{pmpm}_L) > 150 GeV/c^2 and M(H^{pmpm}_R) > 127GeV/c^2 at 95% C.L. are set, respectively, for left-handed and right-handeddoubly-charged Higgs bosons assuming a 100% branching ratio into muons.

Search for pair production of doubly-charged Higgs bosons in the H^{++}H^{--}^ to mu^+mu^+mu^-mu^- final state at D0