%0 Journal Article %T Approximate Hermitian-Yang-Mills structures on semistable principal Higgs bundles %A Ugo Bruzzo %A Beatriz Gra£ża Otero %J Mathematics %D 2014 %I arXiv %R 10.1007/s10455-014-9433-1 %X We generalize the Hitchin-Kobayashi correspondence between semistability and the existence of approximate Hermitian-Yang-Mills structures to the case of principal Higgs bundles. We prove that a principal Higgs bundle on a compact Kaehler manifold, with structure group a connected linear algebraic reductive group, is semistable if and only if it admits an approximate Hermitian-Yang-Mills structure. %U http://arxiv.org/abs/1408.2895v1