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Dyonic non-Abelian local/semi-global vortex strings are studied in detail insupersymmetric/non-supersymmetric Yang-Mills-Higgs theories. While the BPStension formula is known to be the same as that for the BPS dyonic instanton,we find that the non-BPS tension formula is approximated very well by thewell-known tension formula of the BPS dyon. We show that this mysterioustension formula for the dyonic non-BPS vortex stings can be understood from theperspective of a low energy effective field theory. Furthermore, we propose anefficient method to obtain an effective theory of a single vortex string, whichincludes not only lower derivative terms but also all order derivativecorrections by making use of the tension formula. We also find a novel dyonicvortex string whose internal orientation vectors rotate in time and spiralalong the string axis.

Dyonic non-Abelian vortex strings in supersymmetric and non-supersymmetric theories: tensions and higher derivative corrections