Heavy quarks play an important role in collider experiments. Due to the
large scale set by the quark mass, heavy flavor production provides a
valuable test of perturbative QCD. In addition, heavy flavor production
processes are the background to many electroweak and new physics processes,
and a great number of new physics searches rely on the efficient tagging of
b jets. It is therefore very important to have a clear theoretical
understanding of the production of  heavy flavor and heavy flavored jets .

Many theoretical tools are currently available, which allow to obtain a
successful description of heavy flavor production in fully inclusive
observable, or at moderate energies Q, close the scale of the quark mass
mQ. However, if Q >> mQ, large logarithms of the ratio mQ/Q appear,
threatening the convergence of the perturbative series, and introducing
large theoretical uncertainties. The hierarchy of scales Q >> mQ can be
exploited to establish an effective field theory  treatment of heavy quark
production.  Using Soft Collinear Effective Theory (SCET), I will show how
the dynamics at the  different scales that enter heavy flavor production
processes  can be factorized, and large logarithms be resummed through
renormalization group equations.
I will first discuss the definition of heavy quark fragmentation function
in the SCET, and its extraction from e+ e- annihilation data.
I will then move on to hadronic collision, and discuss how SCET allows to
achieve the resummation of large logarithms for more exclusive observables
than in standard perturbative QCD.