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For three conspicuous gauge groups, namely, SU(2), SU(3) and SO(5), and atfirst order in the noncommutative parameter matrix h\theta^{\mu\nu}, weconstruct smooth monopole --and, some two-monopole-- fields that solve thenoncommutative Yang-Mills-Higgs equations in the BPS limit and that are formalpower series in h\theta^{\mu\nu}. We show that there exist noncommutative BPS(multi-)monopole field configurations that are formal power series inh\theta^{\mu\nu} if, and only if, two a priori free parameters of theSeiberg-Witten map take very specific values. These parameters, that are notassociated to field redefinitions nor to gauge transformations, have thusvalues that give rise to sharp physical effects.Comment: 30 pages, no figure

Monopoles, noncommutative gauge theories in the BPS limit and some simple gauge groups