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We show that a simple and accurate approach to the computation of hadroncollider processes involving initial-state $b$ quarks can be obtained byintroducing an independently parametrized b PDF. We use the so-called FONLLmethod for the matching of a scheme in which the b quark is treated as amassless parton to that in which it is treated as a massive state, and extendit to the case in which the b quark PDF is not necessarily determined byperturbative matching conditions. This generalizes to hadronic collisionsanalogous results previously obtained for deep-inelastic scattering. Theresults corresponds to a `massive b' scheme, in which b mass effects areretained, yet the b quark is endowed with a PDF. We specifically study Higgsproduction in bottom fusion, and show that our approach overcomes difficultiesrelated to the fact that in a standard massive four-flavor scheme b-quarkinduced processes only start at high perturbative orders.

Fitting the b-quark PDF as a massive-b scheme: Higgs production in bottom fusion