We report on progress in our work on obtaining high precision standard model predictions for the Higgsstrahlung reaction at a linear collider.Comment: 5 pages, talk presented by K. Kolodziej at the 7th Zeuthen Workshop on Elementary Particle Theory "Loops and Legs in Quantum Field Theory", Zinnowitz, Germany, April 25-30, 200

We present standard model predictions for the four-fermion reaction e + e − → µ + µ −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-bb Yukawa coupling, caused by the running of the b-quark mass, for e + e − → µ + µ −b b. The complete O(α) electroweak corrections to the Z-Higgs production and to the Z boson decay width, as well as remaining QCD and EW corrections to the Higgs decay width, as can be calculated with a program HDECAY, are taken into account in the double pole approximation.