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Higgs production in bottom-quark fusion in a matched scheme

Stefano Forte, Davide Napoletano, Maria Ubiali

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. We discuss the general framework for the application of the FONLL method to this process, and then we present explicit expressions for the case in which the next-to-next-to-leading-log five-flavor scheme result is combined with the leading-order $\cal O(α_s^2)$ four-flavor scheme computation. We compare our results in this case to the four-and five-flavor scheme computations, and to the so-called Santander matching.

Higgs production in bottom-quark fusion in a matched scheme

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 -quark is treated as a massless parton to that in which it is treated as a massive final-state particle. We discuss the general framework for the application of the FONLL method to this process, and then we present explicit expressions for the case in which the next-to-next-to-leading-log five-flavor scheme result is combined with the leading-order four-flavor scheme computation. We compare our results in this case to the four-and five-flavor scheme computations, and to the so-called Santander matching.

Paper Structure

This paper contains 1 section, 36 equations, 4 figures, 1 table.

Table of Contents

  1. Acknowledgments

Figures (4)

  • Figure 1: Leading-order (a) and next-to-leading order (b-c) contributions to the hard cross-section in the five-flavor scheme. To order ${\cal O}(\alpha_s^2)$ these processes receive 2-loop corrections (a) and 1-loop corrections (b) and (c), respectively.
  • Figure 2: Leading-order order contributions to the four-flavor scheme. Not shown are diagrams that can be obtained by crossing the initial state gluons, or radiating the Higgs off an anti bottom quark.
  • Figure 3: The total inclusive cross-section computed in the four-flavor scheme at LO (red), in the five-flavor scheme at NNLO (blue), and in the FONLL-A scheme (green). The Santander matching Eq. \ref{['eq:S-M']} of the four and five-flavor scheme results is also shown (purple). Both the absolute result (top) and the ration to the FONLL-A prediction (bottom) are shown.
  • Figure 4: Renormalization (top) and factorization (bottom) scale dependence of the cross-sections shown in Fig. \ref{['fig:resMH']} with $m_H=125.09$ GeV. The preferred scale choice $\frac{m_H+2 m_b}{4}$ is denoted by a vertical bar.