$Z$ boson production in bottom-quark fusion: a study of $b$-mass effects beyond leading order

Abstract

We compute the total cross-section for $Z$ boson production in bottom-quark fusion, applying to this case the method we previously used for Higgs production in bottom fusion. Namely, we match, through the FONLL procedure, the next-to-next-to-leading-log five-flavor scheme result, in which the $b$~quark is treated as a massless parton, with the next-to-leading-order $\order{α_s^3}$ four-flavor scheme computation in which bottom is treated as a massive final-state particle. Our computation provides a test-case for the discussion of issues of scale dependence and treatment of heavy quarks, which we discuss in light of our results.

Fixed Typos in Eqs. A.7,9,11

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• Small x Resummation with Quarks: Deep-Inelastic Scattering
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• Predictions for $\mathrm{Z}$-boson production in association with a $\mathrm{b}$-jet at $\mathcal{O}({\alpha }_s^3)$
• Multi-jet merging in a variable flavor number scheme
• High-energy QCD dynamics from bottom flavor fragmentation at the Hi-Lumi LHC
• A fragmentation-based study of heavy quark production
• Single Top Production in PDF fits
• $J/\psi$ meson production in association with an open charm hadron at the LHC: A reappraisal
• General mass variable flavor number scheme for $Z$ boson production in association with a heavy quark at hadron colliders
• Estimating power corrections for the Drell-Yan Process