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A new method for the reduction of one-loop tensor 5-point integrals to related 4-point integrals is proposed. In contrast to the usual Passarino–Veltman reduction and other methods used in the literature, this reduction avoids the occurrence of inverse Gram determinants, which potentially cause severe numerical instabilities in practical calculations.(More)
We have calculated the complete O(α) and O(α s) radiative corrections to the Higgs-production process e + e − → t ¯ tH in the Standard Model. This process is particularly interesting for the measurement of the top-quark Yukawa coupling at a future e + e − col-lider. The calculation of the O(α) corrections is described in some detail including, in(More)
The complete electroweak O(α) corrections have been calculated for the charged-current four-fermion production processes e + e − → ν τ τ + µ − ¯ ν µ , u ¯ dµ − ¯ ν µ , and u ¯ ds¯ c. Here, technical details of this calculation are presented. These include the algebraic reduction of spinor chains to a few standard structures and the consistent implementation(More)
We present new methods for the evaluation of one-loop tensor integrals which have been used in the calculation of the complete electroweak one-loop corrections to e + e − → 4 fermions. The described methods for 3-point and 4-point integrals are, in particular, applicable in the case where the conventional Passarino–Veltman reduction breaks down owing to the(More)
The radiative corrections of the strong and electroweak interactions are calculated at next-to-leading order for Higgs-boson production in the weak-boson-fusion channel at hadron colliders. Specifically, the calculation includes all weak-boson fusion and quark– antiquark annihilation diagrams to Higgs-boson production in association with two hard jets,(More)
The complete matrix elements for e + e − → 4f and e + e − → 4f γ are calculated in the Electroweak Standard Model for polarized massless fermions. The matrix elements for all final states are reduced to a few compact generic functions. Monte Carlo generators for e + e − → 4f and e + e − → 4f γ are constructed. We compare different treatments of the finite(More)
The complete electroweak O(α) radiative corrections to the Higgs-boson production processes e + e − → ν l ¯ ν l H (l = e, µ, τ) are calculated in the electroweak Standard Model. For e + e − → ν e ¯ ν e H, where ZH production and W-boson fusion contribute, both production channels are added coherently. The calculation of the corrections is described in some(More)