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Future colliders will probe the electroweak theory at energies much largerthan the gauge boson masses. Large double (DL) and single (SL) logarithmicvirtual electroweak Sudakov corrections lead to significant effects forobservable cross sections. Recently, leading and subleading universalcorrections for external fermions and transverse gauge boson lines wereresummed by employing the infrared evolution equation method. The results wereconfirmed at the DL level by explicit two loop calculations with the physicalStandard Model (SM) fields. Also for longitudinal degrees of freedom theapproach was utilized for DL-corrections via the Goldstone boson equivalencetheorem. In all cases, the electroweak Sudakov logarithms exponentiate. In thispaper we extend the same approach to both Yukawa enhanced as well as subleadingSudakov corrections to longitudinal gauge boson and Higgs production. We usevirtual contributions to splitting functions of the appropriate Goldstonebosons in the high energy regime and find that all universal subleading termsexponentiate. The approach is verified by employing a non-Abelian version ofGribov's factorization theorem and by explicit comparison with existing oneloop calculations. As a side result, we obtain also all top-Yukawa enhancedsubleading logarithms for chiral fermion production at high energies to allorders. In all cases, the size of the subleading contributions at the two looplevel is non-negligible in the context of precision measurements at futurelinear colliders.Comment: 32 pages, 7 figures, uses LaTeX2

Resummation of Yukawa enhanced and subleading Sudakov logarithms in longitudinal gauge boson and Higgs boson production