One-loop electroweak factorizable correctionsfor the Higgsstrahlung at a linear collider

Abstract.

We present standard model predictions for the four-fermion reaction $e^{ + } e^{ - } \to \mu ^{ + } \mu ^{ - } \ifmmode\expandafter\bar\else\expandafter\=\fi{b}b$ being one of the best detection channels of a low-mass Higgs boson produced through the Higgsstrahlung mechanism at a linear collider. We include leading virtual and real QED corrections due to initial state radiation and a modification of the Higgs-$b\bar{b}$ Yukawa coupling, caused by the running of the b-quark mass, for $e^{ + } e^{ - } \to \mu ^{ + } \mu ^{ - } \ifmmode\expandafter\bar\else\expandafter\=\fi{b}b$. The complete $\mathcal{O}(\alpha)$ electroweak corrections to Z-Higgs production and to the Z-boson decay width, as well as the remaining QCD and EW corrections to the Higgs decay width, as can be calculated with the program HDECAY, are taken into account in the double-pole approximation.