Higgs production in bottom-quark fusion: matching beyond leading order

Abstract

We compute the total cross-section for Higgs boson production in bottom-quark fusion using the so-called FONLL method for the matching of a scheme in which the $b$-quark is treated as a massless parton to that in which it is treated as a massive final-state particle, and extend our previous results to the case in which the next-to-next-to-leading-log five-flavor scheme result is combined with the next-to-leading-order O(as^3) four-flavor scheme computation.

Typos in version published in Phys. Lett. B corrected in Eqs.(2), (4), (12), (18), (20), (21) and (A.3). Note that the public code unaffected by typos, only present in paper. Public code available from http://bbhfonll.hepforge.org