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The relation between the on-shell and MS mass can be expressed through scalar and vector part of the quark propagator. In principle these two-point functions have to be evaluated on-shell which is a non-trivial task at three-loop order. Instead, we evaluate the quark self-energy in the limit of large and small external momentum and use conformal mapping in combination with Pade improvement in order...
We calculate the top-quark-induced three-loop corrections of O (α 2s G F M 2t ) to the Yukawa couplings of the first five quark flavours in the framework of the minimal standard model with an intermediate-mass Higgs boson, with mass M H 2M t . The calculation is performed using an effective-Lagrangian approach implemented with the hard-mass procedure...
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