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We present recent developments concerning Higgs production in bottom quarkannihilation and gluon fusion. For bottom quark annihilation, we show thetransverse momentum distribution of the associated jets. Furthermore, wediscuss the distribution of events into n-jet bins for n=0 and n>0 at NNLO andNLO, respectively. For gluon fusion, the quality of the heavy-top limit fordifferential quantities at O(\alpha_s^4) is studied by taking into accounthigher order terms in the 1/m_{top} expansion.

Differential Higgs+jet production in bottom quark annihilation and gluon fusion