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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(αs3) four-flavor scheme computation.
Highlights
Higgs production in bottom fusion, like any process involving bottom quarks at the matrix-element level, may be computed using two different factorization schemes, often called four- and five-flavour schemes for short
In the four-flavour scheme (4FS), the bottom quark is treated as a massive object, which is not endowed with a parton distribution (PDF), and it decouples from QCD perturbative evolution, which is performed only including the four lightest flavours and the gluon in the DGLAP equations, and likewise it decouples from the running of αs so that n f = 4 in the computation of the QCD β function
Very close to the production threshold mass effects are important while collinear logs are not large, and the 4FS is more accurate
Summary
Higgs production in bottom fusion, like any process involving bottom quarks at the matrix-element level, may be computed using two different factorization schemes, often called four- and five-flavour schemes for short. The 4FS results shown are those which enter the FONLL combination, namely, the form Eq (2) of the 4FS result is used, in which this is expressed in terms of 5FS PDFs and αs.
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