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The running of the Top quark mass is considered in the nonperturbativeframework of the Schwinger-Dyson equation. Based on the input of physical polemass meassured at the Tevatron the method provides the resulting mass functionwhich is almost constant at low spacelike and timelike scales. The skeletonloops including Standard Model Higgs and gluons are taken into account. Thedominant two-loop skeleton contribution with triplet Higgs interaction isconsidered in addition to one loop dressed approximation of the top quarkself-energy.

Running Top quark mass in the presence of light SM Higgs