Bottom-quark associated Higgs-boson production: reconciling the four- and five-flavour scheme approach

TL;DR

This paper reviews the debate on calculating bottom-quark associated Higgs production cross sections and proposes a pragmatic formula to combine different theoretical schemes, improving accuracy and error estimation.

Contribution

It introduces a simple, practical formula to reconcile four- and five-flavour scheme approaches for Higgs production, including error treatment.

Findings

The matching formula effectively combines the schemes.

Numerical analysis shows improved cross section estimates.

Error estimates are incorporated into the matching procedure.

Abstract

The main arguments in the discussion of the proper treatment of the total inclusive cross section for bottom-quark associated Higgs-boson production are briefly reviewed. A simple and pragmatic formula for the combination of the so-called four- and five-flavour schemes is suggested, including the treatment of the respective theory error estimates. The numerical effects of this matching formula are discussed.